Caution: the following list is not always up to date; my official CV is usually updated first.

For a citation list and citation-, H- and i-indices, see Google Scholar citations.

My publications on ORCID can be viewed at

- R. Blumenfeld and A. Aharony,
*Nonlinear resistor fractal networks, topological distances, singly connected bonds and fluctuations*J. Phys. A: Math. Gen.**18**, L443-L448 (1985) - R. Blumenfeld, Y. Meir, A. B. Harris and A. Aharony,
*Infinite set of exponents describing physics on fractal networks*J. Phys.**A**: Math. Gen.**19**, L791-L796 (1986) - Y. Meir, R. Blumenfeld, A. Aharony and A. B. Harris,
*Series analysis of randomly diluted nonlinear resistor networks*Phys. Rev.**B 34**, 3424-3428 (1986) - R. Blumenfeld, Y. Meir, A. Aharony and A. B. Harris,
*Resistance fluctuations in randomly diluted networks*Phys. Rev.**B 35**, 3524-3535 (1987) - R. Blumenfeld and D. J. Bergman,
*Fluid flow in a random porous medium: A network model and effective medium approximation*J. Appl. Phys.**62**, 1616-1621 (1987) - Y. Meir, R. Blumenfeld, A. B. Harris and A. Aharony,
*Series analysis of randomly diluted nonlinear networks with negative nonlinearity exponent*Phys. Rev.**B 36**, 3950-3952 (1987) - R. Blumenfeld,
*Probability densities of homogeneous functions: Explicit approximation and applications to percolating networks*J. Phys.**A**: Math. Gen.**21**, 815-825 (1988) - U. Sivan, R. Blumenfeld, Y. Meir and O. Entin-Wohlman,
*Dynamic structure factor of a deterministic fractal*Europhys. Lett.**7**, 249-253 (1988) - A. Aharony, R. Blumenfeld, P. Breton, B. Fourcade, A. B. Harris, Y. Meir and A. -M. S. Tremblay,
*Negative moments of currents in percolating resistor networks*Phys. Rev.**B 40**, 7318 (1989) - R. Blumenfeld and D. J. Bergman,
*Nonlinear dielectrics: electrostatics of random media and propagation of waves in a homogeneous slab*Physica**A 157**, 428-436 (1989) - R. Blumenfeld and A. Aharony,
*Breakdown of multifractal behaviour in diffusion limited aggregates*Phys. Rev. Lett.**62**, 2977-2980 (1989) - R. Blumenfeld,
*Universality and superuniversality of multifractals in nonlinear networks*J. Stat. Phys.**56**, 233-241 (1989) - R. Blumenfeld and D. J. Bergman,
*Exact calculation to second order of the effective dielectric constant of a strongly nonlinear composite*Phys. Rev.**B 40**, 1987-1989 (1989) - O. Entin-Wohlman, U. Sivan, R. Blumenfeld and Y. Meir,
*Dynamic structure factor of fractals*Physica**D 38**, 93-97 (1989) - R. Blumenfeld,
*Novel flux solutions in nonlinear continuum systems with negative dynamic resistance*Physica**A 168**, 697-704 (1990) - R. Blumenfeld,
*Phase coherence oscillation of holes in La{2-x}Sr{x}CuO{4}, dynamics of single holes in the CuO plane and the typical pairing time*Physica**A 168**, 705-713 (1990) - R. C. Ball and R. Blumenfeld,
*Universal scaling of the stress field at the vicinity of a wedge crack in two dimensions and oscillatory self-similar corrections to scaling*Phys. Rev. Lett.**65**, 1784-1787 (1990) - R. Blumenfeld and A. Aharony (Reply),
*Breakdown of multifractal behaviour in diffusion limited aggregates*Phys. Rev. Lett.**64**, 1843 (1990) - G. Corsten, C. Liem, R. Blumenfeld and N. Jan,
*Pairing of holes via vortex/antivortex attraction in doped La{2-x}Sr{x}CuO{4}*J. de Physique**51**, 2229-2233 (1990) - R. Blumenfeld,
*Geometrical correlations and the origin of x values at the maximum and intersects of T{c}(x) in La{2-x}Sr{x}CuO{4}*J. de Physique**1**, 159-166 (1991) - R. Blumenfeld and D. J. Bergman,
*Nonlinear susceptibilities of granular matter*Phys. Rev.**B 43**, 13682-13683 (1991) - R. C. Ball and R. Blumenfeld,
*Exact results on exponential screening in two-dimensional diffusion limited aggregation*Phys. Rev.**A 44**, R828-R831 (1991) - R. Blumenfeld,
*The functional form of the T{c}(x) line in the phase diagram of high temperature superconductors*Physica**C 178**, 119-124 (1991) - R. C. Ball, P. W. H. Barker and R. Blumenfeld,
*Sidebranch selection in fractal growth*Euro. Phys. Lett.**16**, 47-52 (1991) - R. Blumenfeld and R. C. Ball,
*Onset of scale-invariant pattern in growth processes: The cracking problem*Physica**A 177**, 407-415 (1991) - R. Blumenfeld and D. J. Bergman,
*Strongly nonlinear composite dielectrics: a method for exact solution for the potential field and effective bulk properties*Phys. Rev.**B 44**, 7378-7386 (1991) - R. Blumenfeld and R. C. Ball,
*Onset of scaling behaviour in 2D slow cracking*Modern Phys. Lett.**B 5**, 1567-1573 (1991) - R. Blumenfeld,
*An exact solution for electromagnetic waves in strongly nonlinear media*J. Phys.**A**; Math. Gen.**25**, L275-L282 (1992) - E. Duering, R. Blumenfeld, D. J. Bergman, A. Aharony and M. Murat,
*Current distributions in a two-dimensional random-resistor-network*J. Stat. Phys.**67**, 113-121 (1992) - R. C. Ball and R. Blumenfeld,
*Universal scaling of the stress field at the vicinity of a wedge crack in two dimensions and oscillatory self-similar corrections to scaling*Phys. Rev. Lett.**68**, 2254 (1992) - C. Bowen, D. L. Hunter, R. Blumenfeld and N. Jan,
*Magnetism and high T{c} superconductors*J. Physique I France**3**, 83-92 (1993) - A. Aharony, R. Blumenfeld and A. B. Harris,
*The distribution of the logarithms of currents in percolating resistor networks, I. Theory*Phys. Rev.**B 47**, 5756-5769 (1993) - J. Adler, A. Aharony, R. Blumenfeld, A. B. Harris and Y. Meir,
*The distribution of the logarithms of currents in percolating resistor networks, II. Series expansion*Phys. Rev.**B 47**, 5770-5782 (1993) - R. Blumenfeld and R. C. Ball,
*A probe for morphology and hierarchical correlations in scale invariant structures*Phys. Rev.**E 47**, 2298-2302 (1993) - R. Blumenfeld,
*Explicitly exact solutions for waves in a family of nonlinear media*Physica**D 66**, 7-13 (1993) - V. Milman, R. Blumenfeld, N. A. Stelmashenko and R. C. Ball,
*Experimental measurements of the roughness of brittle cracks*Phys. Rev. Lett.**71**, 204 (1993) - R. Blumenfeld and S. Torquato,
*A coarse-graining procedure to generate and analyze heterogeneous materials: Theory*Phys. Rev.**E 48**, 4492-4500 (1993) - R. Blumenfeld and R. C. Ball,
*Quantifying morphology of scale-invariant structures beyond the fractal dimension*Fractals**1**, 985-991 (1993) - R. Blumenfeld,
*Two dimensional Laplacian growth can be mapped onto Hamiltonian dynamics*Phys. Lett.**A 186**, 317-322 (1994); Los Alamos National Laboratory Report LA-UR-93-2800 - V. Milman, N. A. Stelmashenko and R. Blumenfeld,
*Fracture surfaces: A critical review and a morphological analysis of scanning tunneling microscopy measurements*Progress in Materials Science**38**, 425-474 (1994); Los Alamos National Laboratory Report LA-UR-94-2812 - R. Blumenfeld,
*Formulating a first-principles statistical theory of growing surfaces in two-dimensional Laplacian fields*Phys. Rev.**E 50**, 2952-2962 (1994); Los Alamos National Laboratory Report LA-UR-93-4338 - R. Blumenfeld and R. C. Ball,
*Two dimensional Laplacian growth as a system of creating and annihilating particles*Phys. Rev.**E 51**, 3434-3443 (1995); Los Alamos National Laboratory Report LA-UR-94-2466 - R. Blumenfeld,
*Pattern formation in Laplacian growth: Theory*Center for Nonlinear Studies Newsletter**112**, April (1995); Los Alamos National Laboratory Report LALP-95-012 - R. Blumenfeld,
*Nonequilibrium brittle fracture propagation: Steady state, oscillations and intermittency*, Phys. Rev. Lett.**76**, 3703-3706 (1996) - B. L. Holian, R. Blumenfeld and P. Gumbsch,
*An Einstein model of brittle crack propagation*, Phys. Rev. Lett.**78**, 78-81 (1997) - R. Blumenfeld,
*Planar curve representation of many-body system dynamics*, Phys. Rev. Lett.**78**, 1203-1206 (1997) - R. Blumenfeld and Benoit B. Mandelbrot
*Mass fractal lacunarity, L\'evy dusts, Mittag-Leffler statistics, and perceived dimension*, Phys. Rev.**E 56**, 112-118 (1997) - R. Balakrishnan and R. Blumenfeld,
*Transformation of general curve evolution to a modified Belavin-Polyakov equation*, J. Math. Phys.**38**, 5878-5888 (1997) - A.E. Garcia, R. Blumenfeld, G. Hummer and J. A. Krumhansl,
*Multi-Basin Dynamics of a Protein in a Crystal Environment*Physica**D 107**, 225-239 (1997) - R. Balakrishnan and R. Blumenfeld,
*On the twist excitations in a classical anisotropic antiferromagnetic chain*, Phys. Lett.**A 237**, 69-72 (1997) - R. Blumenfeld,
*Dynamics of fracture propagation in the mesoscale: Theory*, Theor. and Appl. Fracture Mech.**30**, 209-223 (1998) - R. Blumenfeld,
*Hierarchical structure of domain walls in magnetic layers*Phase Transitions,**69**, 237-245 (1999) - R. Blumenfeld and R. Balakrishnan,
*Exact multi-twist solutions to the Belavin-Polyakov equation and applications to magnetic systems*, J. Phys.**A**,**33**, 2459-2468 (2000) - R. Blumenfeld,
*Pulling a chain's leg: The pullout dynamics of entangled chains*Macromolecules,**33**, 1082-1088 (2000) - R. C. Ball and R. Blumenfeld,
*The stress field in granular systems: Loop forces and potential formulation*Phys. Rev. Lett.,**88**, 115505-115508 (2002) - R. Blumenfeld,
*Dynamics of twists on antiferromagnetic spin chains: Theory*, Eur. Phys. J.**B 29**, 261-263 (2002) - R. Blumenfeld,
*Stress transmission in planar disordered solid foams*J. Phys. A: Math. Gen.**36**, 2399-2411 (2003); cond-mat/0210336 - R. C. Ball and R. Blumenfeld,
*From Plasticity to a renormalisation group*, Phil. Trans. R. Soc. Lond.**361**, 731-740 (2003); cond-mat/0301562 - A. J. Bray, T. J. Sluckin, T. McLeish, R. Blumenfeld, E. J. Hinch, R. Magerle, R. C. Ball,
*Coarsening dynamics of phase-separating systems - discussion*, Phil. Trans. R. Soc. Lond. A. Mathematical, Physical and Engineering Sciences**361**, 791 (2003). - R. Blumenfeld and Sam F. Edwards,
*Granular entropy: Explicit calculations for planar assemblies*, Phys. Rev. Lett.**90**, 114303-114306 (2003); cond-mat/0303418. - R. Blumenfeld,
*Large fluctuations of disentanglement forces and implication for polymer dynamics*, cond-mat/0108471 (2001). - R. Blumenfeld,
*Strange dynamics of domain walls and periodic stripes on antiferromagnetic chains*, cond-mat/0108470 (2001) - R. Blumenfeld,
*Stress in planar cellular solids and isostatic granular assemblies: Coarse-graining the constitutive equation"*, Physica A**336**, 361-368 (2004); cond-mat/0312313 - R. Blumenfeld,
*Stresses in granular systems and emergence of force chains*, Phys. Rev. Lett.**93**, 108301-108304 (2004); cond-mat/0402556 - R. Blumenfeld, S. F. Edwards and R. C. Ball,
*Granular matter and the marginally rigid state*, J. Phys.: Cond. Mat.**17**, S2481-S2487 (2005); cond-mat/0105348 - R. Blumenfeld,
*Auxetic strains - insight from iso-auxetic materials*, Molecular Simulation**31**, 867-871 (2005). - R. Blumenfeld and Sam F. Edwards,
*"Geometric partition functions of cellular systems: Explicit calculation of the entropy in two and three dimensions"*, Eur. Phys. J.**E 19**, 23-30 (2006). - R. Blumenfeld ,
*Isostaticity and controlled force transmission in the cytoskeleton - a model awaiting experimental evidence*, Biophys. J.**91**, 1970-1983 (2006). - R. Blumenfeld ,
*Stresses in two-dimensional isostatic granular systems: Exact solutions*, New J. Phys.**9**, (2007) 160. - R. Blumenfeld and Sam F. Edwards,
*Blumenfeld and Edwards Reply to Comment on "Granular Entropy: Explicit Calculations for Planar Assemblies"*, Phys. Rev. Lett.**99**, 089402 (2007) - M. Gerritsen, G. Kreiss, R. Blumenfeld,
*Stress chain solutions in two-dimensional isostatic granular systems: fabric-dependent paths, leakage and branching*, Phys. Rev. Lett.**101**, 098001 (2008). - G. Frenkel, R. Blumenfeld, G. Zdenek and P. R. King,
*Structural characterization and statistical properties of two-dimensional granular systems*, Phys. Rev.**E 77**, 041304 (2008). - M. Gerritsen, G. Kreiss, R. Blumenfeld,
*Analysis of stresses in two-dimensional isostatic granular systems*, Physica**A 387**, 6263-6276 (2008). - R. Blumenfeld and S. F. Edwards,
*On granular stress statistics: compactivity, angoricity and some open issues*, J. Phys. Chem.**B 113**, 3981-3987 (2009). - G. Frenkel, R. Blumenfeld, P. R. King and M. Blunt,
*Topological Analysis of Foams and Tetrahedral Structures*, Adv. Eng. Mat.**11**, 169-176 (2009). - R. Blumenfeld, Sam F. Edwards and M. Schwartz,
*Da Vinci Fluids, catch-up dynamics and dense granular flow*, European J. Phys.**E 32**, 333-338 (2010). - M. Schwartz and R. Blumenfeld,
*Plug flow formation and growth in da Vinci Fluids*, Granular Matter**13**, 241-245 (2011). - R. Blumenfeld and Sam F. Edwards,
*Theory of strains in auxetic materials*, J. Superconductivity and Novel Magnetism**25**, 565 (2012); DOI: 10.1007/s10948-012-1464-x; also in arXiv:cond-mat/1111.6684 (http://arxiv.org/abs/1111.6684). - R. Hihinashvili and R. Blumenfeld,
*Structural-entropic characteristics of dense planar granular systems*, Granular Matter**14**, 277-282 (2012); DOI: 10.1007/s10035-012-0332-5. - R. Blumenfeld, J. F. Jordan and Sam F. Edwards,
*"Inter-dependence of the volume and stress ensembles and equipartition in statistical mechanics of granular systems"*, Phys. Rev. Lett.**109**, 238001 (2012); (http://arxiv.org/pdf/1204.2977.pdf). - T. Matsushima and R. Blumenfeld,
*On universal structural characteristics of granular packs*, Phys. Rev. Lett.**112**, 098003 (2014); http://arxiv.org/pdf/1305.6093.pdf. - R. Blumenfeld and Sam F. Edwards,
*"Granular statistical mechanics - a personal perspective"*, Euro. Phys. J.**223**, 2189-2204 (2014); DOI: 10.1140/epjst/e2014-02258-y. - R. Blumenfeld,
*"Professor Sir Sam F. Edwards FLSW FRS FIMA (1928-2015)"*, Mathematics TODAY , August Issue (2015). - R. Blumenfeld, S. Amitai, J.F. Jordan and R. Hihinashvili,
*"On the failure of the volume function in granular statistical mechanics and an alternative formulation"*, Phys. Rev. Lett.**116**, 148001 (2016); http://arxiv.org/pdf/1507.03779v2.pdf. - L. Huang, X. Ran and R. Blumenfeld,
*Vertical dynamics of a horizontally-oscillating active object in a 2D granular medium*, Phys. Rev.**E 94**, 062906 (2016); (http://arxiv.org/abs/1609.01457). - R. Blumenfeld,
*Structural evolution of granular systems: Theory*(2014), http://arxiv.org/pdf/1412.6933v1.pdf. - R. Blumenfeld,
*Statistical mechanics of dense granular fluids - contacts as quasi-particles*, Phys. Rev. Lett. , submitted; (http://arxiv.org/abs/1603.02015). - S. Amitai and R. Blumenfeld,
*Modifying continuous-time random walks to model finite-size particle diffusion in granular porous media*, J. Gran. Matt.**19**, 1-9 (2017); DOI 10.1007/s10035-016-0694-1; http://arxiv.org/pdf/1501.03998v2.pdf. - T. Matsushima and R. Blumenfeld,
*Fundamental structural characteristics of planar granular assemblies: self-organisation and scaling away friction and initial state*, Phys. Rev.**E 95**, 032905 (2017); http://arxiv.org/pdf/1207.2988.pdf. - R. Blumenfeld, M.E. Cates and M. Warner,
*Report on International workshop: Soft Matter - Theoretical and Industrial Challenges, celebrating the pioneering work of Sir Sam Edwards*, J. Appl. Rheology**27**, 46 (2017); - R. Blumenfeld and J. Ma,
*Bending back stress chains and unique behaviour of granular matter in cylindrical geometries*, J. Gran. Matt.**19**:29 (2017); DOI 10.1007/s10035-017-0707-8 (http://arxiv.org/abs/1606.06484). - R. Blumenfeld, S. Amitai, J.F. Jordan and R. Hihinashvili,
*Reply to comment on "On the failure of the volume function in granular statistical mechanics and an alternative formulation"*, Phys. Rev. Lett.**119**, 039802 (2017). - S. Amitai and R. Blumenfeld,
*Affine and topological structural entropies in granular statistical mechanics: explicit calculations and equation of state*, Phys. Rev.**E 95**, 052905 (2017); http://arxiv.org/pdf/1701.05860.pdf. - S. Amitai, A. Bertei and R. Blumenfeld,
*Theory-based design of sintered granular composites triples three-phase boundary in fuel cells*, Phys. Rev.**E 96**, 052903 (2017); http://lanl.arxiv.org/abs/1706.05974. - Cheng Qi, Ran Xian-Wen, Liu Ping, Tang Wen-Hui, and R. Blumenfeld,
*Numerical simulation of a spinning sphere moving in granular matter*, Acta Physica Sinica**67**, 014702 (2018). DOI: 10.7498/aps.66.014702. - W. Kang, Y. Feng, C. Liu and R. Blumenfeld,
*Archimedes' law explains penetration of solids into granular media*, Nature Comm.**9**, 1101 (2018). DOI: 10.1038/s41467-018-03344-3. - C. M. Verstreken, K. J. Chalut and R. Blumenfeld,
*Equally probable positive and negative Poisson's ratios in disordered planar systems*, Soft Matter**14**, 6554 - 6560 (2018); DOI: 10.1039/C8SM00717A. - M. Schwartz and R. Blumenfeld,
*Stress Tensor for Dense Granular Flow in Plug-Free Regions*, Phys. Rev.**E 98**, 042905 (2018); (http://arxiv.org/abs/1608.01708). - C. Revell, R. Blumenfeld and K. J. Chalut,
*Force-based three-dimensional model predicts mechanical drivers of cell sorting*, Proc. Roy. Soc. B**286**, 20182495 (2019). http://dx.doi.org/10.1098/rspb.2018.2495 - Y-J. Feng, R. Blumenfeld and C. Liu,
*Support of Modified Archimedes' Law Theory in Granular Media*, Soft Matter**15**, 3008 (2019); DOI: 10.1039/C8SM02480D (2019). - R. Blumenfeld,
*The unusual problem of upscaling isostaticity theory for granular matter*, Granular Matter**22**, 38 (2020); https://doi.org/10.1007/s10035-020-1002-7. - C.C. Wanjura, P.A. Gago, T. Matsushima, R. Blumenfeld,
*Structural Evolution of Granular Systems: Theory*, Granular Matter**22**, 91 (2020); https://doi.org/10.1007/s10035-020-01056-4; https://arxiv.org/abs/1904.06549. - A. Yanagida, C. Revell, G. Stirparo, S. Achouri, D. Cassani, R. Blumenfeld, K. Franze, E. Paluch, J. Nichols, K. Chalut,
*FGF-mediated cell surface fluctuations drive early embryonic lineage segregation*, bioRxiv 2020.08.16.250084; doi: https://doi.org/10.1101/2020.08.16.250084. - P. Liu, X. Ran, R. Blumenfeld,
*Sink-rise dynamics of horizontally oscillating active matter in granular media: Theory*, Phys. Rev. Lett.; https://arxiv.org/abs/2006.04160. - X. Sun, W. Kob, R. Blumenfeld, H. Tong, Y. Wang, J. Zhang,
*Friction-controlled entropy-stability competition in granular systems*, Phys. Rev. Lett.**125**, 268005 (2020); DOI: 10.1103/PhysRevLett.125.268005; https://arxiv.org/abs/2007.14145. - P. Liu, X. Ran, Q. Cheng, W. Tang, J. Zhou, R. Blumenfeld,
*Locomotion of Self-Excited Vibrating and Rotating Objects in Granular Environments*, MDPI Applied Science**11**, 2054 (2021) (DOI: https://doi.org/10.3390/app11052054) - J. He, R. Blumenfeld, H. Zhu,
*Mechanical Behaviors of Sandy Sediments Bearing Pore-Filling Methane Hydrate under Different Intermediate Principal Stress*, Int. J. Geomech.**21**(5), 04021043 (2021); DOI: 10.1061/(ASCE)GM.1943-5622.0001965. - R. Blumenfeld,
*Disorder Criterion and Explicit Solution for the Disc Random Packing Problem*, Phys. Rev. Lett.**127**, 118002 (2021); arXiv:2106.11774 [math-ph]. - T. Matsushima, R. Blumenfeld,
*Statistical properties of cell stresses in 2D granular solids*, EPJ Web Conf.,**249**, 02006 (2021); https://doi.org/10.1051/epjconf/202124902006.

- X. Jiang, T. Matsushima, R. Blumenfeld,
*Structural characteristics of ordered clusters in packs of ellipses*, EPJ Web Conf.,**249**, 06004 (2021); https://doi.org/10.1051/epjconf/202124906004.

- R. Blumenfeld,
*Erratum: Disorder Criterion and Explicit Solution for the Disc Random Packing Problem*, Phys. Rev. Lett.**127**, 259901 (2021). - X. Sun, Yinqiao Wang, Yujie Wang, R. Blumenfeld, J. Zhang,
*Experimental evidence of detailed balance in granular systems*, Journal**Advanced Science**, submitted (2021); arXiv:2105.01355 [cond-mat.soft]. - R. Blumenfeld,
*Sub-anomalous diffusion and unusual velocity distribution evolution in cooling granular gases: theory*, Journal**xxx**, (2021); arXiv:2111.06260 [gen-ph]. - R. Blumenfeld,
*Comment on "Explicit analytical solution for random close packing in d=2 and d=3" PRL 128, 028002 (2022)*, http://arxiv.org/abs/2201.10550 , (2022). - X. Jiang, R. Blumenfeld, T. Matsushima,
*Coordinated Stress-Structure Self-Organization in Granular Packing*, Journal**xxx**, submitted (2022); https://arxiv.org/abs/2208.06582. - X. Wang, R. Blumenfeld, X.-Q. Feng, D. A. Weitz,
*Phase transitions in bacteria - From structural transitions in free living bacteria to phenotypic transitions in bacteria within biofilms*, Physics of Life Reviews**43**, 98 (2022); DOI: 10.1016/j.plrev.2022.09.004. - A. D. C. Myhill, R. Blumenfeld,
*Steady states of two-dimensional granular systems are unique, stable, and sometimes satisfy detailed balance*, J. Phys. A: Mathematical and Theoretical**56**, 345001 (2023); https://arxiv.org/abs/2306.10526. - Paula A. Gago, Marcos A. Madrid, Stefan Boettcher, Raphael Blumenfeld, Peter King,
*Effect of bevelled silo outlet in the flow rate during discharge*, Powder Technology**428**, 118842 (2023); https://arxiv.org/abs/xxxx.xxxxx. - R. Blumenfeld,
*Granular solids transmit stress as two-phase composites*, submitted**xx**, xx (2023); https://arxiv.org/abs/2306.10581.

- R. Blumenfeld and A. Aharony, Nolinear resistor fractal networks in
*Scaling phenomena in disordered systems*, eds. R. Pynn and A. Skjeltorp (Plenum, 1985) - R. Blumenfeld and R. C. Ball, Universally correlated scale-invariant sidebranching in propagation of a two-dimensional cracking growth, in
*Correlations and connectivity*, eds. H. E. Stanley and N. Ostrowsky (Kluwer Academic Publishers, Dordrecht, 1990) - G. Corsten, C. Liem, R. Blumenfeld, N. Jan and C. Bowen, Vortex-antivortex pairing of holes in frustrated XY spin systems, in
*Correlations and connectivity*, eds. H. E. Stanley and N. Ostrowsky (Kluwer Academic Publishers, Dordrecht, 1990) - R. C. Ball and R. Blumenfeld, Universal scaling of the stress field generated by a two dimensional wedge crack and periodic self-similar corrections to scaling,
*EPS-8 meeting "Trends in Physics"*, ed. F. Pleiter (1990) - R. Blumenfeld, N. Jan, G. Corsten and C. Liem, Evidence for vortex/antivortex mediated pairing of holes in doped La{2-x}Sr{x}CuO{4} and a possible mechanism for the holes movement,
*EPS-8 meeting "Trends in Physics"*, ed. F. Pleiter (1990) - R. Blumenfeld, Novel flux solutions in nonlinear conducting continuum systems with negative dynamic resistance,
*EPS-8 meeting "Trends in Physics"*, ed. F. Pleiter (1990) - R. Blumenfeld, Towards a theory of growing surfaces: Mapping Laplacian growth onto Hamiltonian dynamics and statistics, in
*Fluctuations and Order: The New Synthesis*, ed. M. M. Millonas (Springer-Verlag, 1996); Los Alamos National Laboratory Report LA-UR-93-3591 - R. Blumenfeld, A morphological theory for Laplacian nonlinear growth processes via statistics of equivalent many-body systems, in
*Nonlinear Evolution Equations and Dynamical Systems (NEEDS94)*, eds. V.G. Makhankov, A.R. Bishop and D.D. Holm (World Scientific, 1995); Los Alamos National Laboratory Report LA-UR-94-3528 - R. Blumenfeld, A theory for growing interfaces in Laplacian fields: a many-body formulation and statistical analysis, 1994
*MRS Fall Meeting*, Boston, MA, USA; Los Alamos National Laboratory Report LA-UR-94-2076 - R. Blumenfeld, A theory for the morphology of Laplacian growths from statistics of equivalent many-body hamiltonian systems, in
*Fractal Reviews in the Natural and Applied Sciences*, ed. M. M. Novak (Chapman-Hill, 1995); Los Alamos National Laboratory Report LA-UR-94-2077 - R. Blumenfeld and Robin C. Ball, Characterization of fractal and hierarchical morphologies beyond the fractal dimension, 1994
*MRS Fall Meeting*, Boston, MA, USA - S. Zhou, R. Blumenfeld, B. L. Holian and P. S. Lomdahl, Study of fiber composite failure, 1995
*MRS Fall Meeting* - A. E. Garcia, R. Blumenfeld, G. Hummer and J. Sobehart, Diffusion of a protein in configuration space, in
*Biological Structure and Dynamics*, Vol.**1**: eds. R.H. Sarma and M.H. Sarma - R. Blumenfeld, Stress transmission and isostatic states of non-rigid particulate systems, in
*IMA Volume in Mathematics and its Applications*, Vol.**141**, pp 235-246:*Modeling of Soft Matter*, eds. Maria-Carme T. Calderer and Eugene M. Terentjev, (Springer-Verlag 2005); (Also: arXiv:cond-mat/0501700 [cond-mat.soft]) - S. F. Edwards and R. Blumenfeld, Basic laws of granular materials, in
*Physics of Granular Materials*, ed. A. Mehta (Cambridge University Press, Cambridge 2007) / Abstract - R. Blumenfeld and P. R. King, Entropy-mediated structure-permeability relations in skeletal porous materials,
*CMWR XVI 2006 - Computational Methods in Water Resources XVI International Conference*, Copenhagen, Denmark / Abstract - R. Blumenfeld, On entropic characterization of granular materials , in
*Lecture Notes in Complex Systems*, pp 43-53, eds. T. Aste, A. Tordesillas and T. D. Matteo (World Scientific 2008, Singapore) (See publisher site)/ Abstract - G. Frenkel, R. Blumenfeld, P. R. King and M. Blunt, Topological analysis of foams and tetrahedral structures, in
*Proceedings of MetFoam 2007 - Conference on Porous Metals and Metallic Foams*, Montreal, Canada. - R. Blumenfeld, Stress transmission and incipient yield flow in dense granular materials, in
*IUTAM-ISIMM Symposium on Mathematical Modeling and Physical Instances of Granular Flows*, pp 167-182, eds. J. Goddard, P. Giovine and J. Jenkins (AIP Publications, Melville New York, 2010). - R. Hihinashvili and R. Blumenfeld, Structural characterization of porous and granular materials, in
*Proceedings of XVIII International Conference on Water Resources CMWR 2010*, Barcelona, Spain. - R. Hihinashvili and R. Blumenfeld, Structural Characterization of Porous and Granular Materials, in
*Proceedings of 16th European Symposium on Improved Oil Recovery 2011*, Cambridge, UK. - R. Blumenfeld, J. F. Jordan and S. F. Edwards, Granular statistical mechanics: volume-stress phase space, equipartition and equations of state,
*Powders and Grains 2013*, 325-328, doi: 10.1063/1.4811933. - T. Matsushima and R. Blumenfeld, Microstructural characteristics of planar granular solids,
*Powders and Grains 2013*, 1186-1189, doi: 10.1063/1.4812149. - R. Blumenfeld, S. F. Edwards and S. M. Walley, Granular systems, in
*The Oxford Handbook of Soft Condensed Matterr*, pp 167, Eds. E.M. Terentjev and D.A. Weitz, (Oxford University Press, Oxford, UK, 2015); ISBN-13: 978-0-19-966792-5.

- R. Blumenfeld,
*Sprouting spikes*New Scientist Letters**1795**, 58 (16 November 1991). - R. Blumenfeld and R. C. Ball,
*A morphological correlator for scale-invariant and hierarchical structures*Bulletin of the American Physical Society**39**, 141 (1994). Los Alamos National Laboratory Report LA-UR-94-0701. - R. Blumenfeld,
*First-principles formulation of a theory for growing surfaces in Laplacian fields: Mapping the growth onto Hamiltonian dynamics and statistical analysis of the surface*Bulletin of the American Physical Society**39**, 80 (1994). Los Alamos National Laboratory Report LA-UR-94-0700. - R. Blumenfeld,
*Oscillations and steady state in crack propagation*Bulletin of the American Physical Society (1995). - R. Blumenfeld,
*Morphology of Laplacian growth: Theory*Bulletin of the American Physical Society (1995). - R. Blumenfeld,
*Review of analyses of fracture roughness*1995 MRS Fall Meeting. - R. Blumenfeld,
*A minimal model for crack propagation in amorphous materials*1995 MRS Fall Meeting. - R. Blumenfeld and A. B. Saxena,
*Wrinkling and magneto-active control in single-wall carbon nanotubes*1998 MRS Fall Meeting. - R Blumenfeld and R C Ball,
*Loop forces and potential formulation of stress transmission in granular media*2000 CMMP, Bristol, UK. - R C Ball and R Blumenfeld,
*The Marginally Rigid State of Matter and its Hydrodyanmics*2000 CMMP, Bristol, UK.

The following are drafts at various stages of preparation. Apologies if some of the titles come across as a bit flippant - I usually finalise the title only after the last draft is finished. On some of them, marked by an asterisk (*), there is hardly any progress due to time limitations. They all await only figures, references, and editing to cross the finishing line. In exchange for help with that I will put you as a coauthor. If you are interested in such an easy coauthorship on any of those manuscripts please let me know.

- R. Blumenfeld,
*Continuous stress theory of Statically Determinate Systems*.

(i)

- R. Blumenfeld and L. Bortolozzo,
*Theory of stress transmission in three-dimensional isostatic granular systems*. - D.A. King and R. Blumenfeld,
*Theory of stress transmission in layered elasto-static media*. - R. Blumenfeld*,
*Disentaglement dynamics and applications to deformations in polymer glasses and interfaces*. - R. Blumenfeld*,
*On quantifying a failure criterion for glassy and solid polymers*.

- R. Blumenfeld,
*Position dependent velocities of twists along inhomogeneous antiferromagnetic Heisenberg spin chains*. - R. Blumenfeld*,
*Textures in two-dimensional ferromagnetic Heisenberg systems*. - R. Blumenfeld and A. B. Saxena,
*Wrinkling and magneto-active control in single-wall carbon nanotubes*. - R. Blumenfeld and Avadh Saxena
*Exact multi-twist solutions for Heisenberg spins on an elastically deformable cylinder*.

- R. Blumenfeld*,
*A variational algorithm for the minimal path length in random networks*.

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