Publications
 I. Publications in primary journals
(Note: the following list is not constantly up to date. Please refer to my official CV, which is usually updated first)
  1. 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)
  2. 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)
  3. 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)
  4. R. Blumenfeld, Y. Meir, A. Aharony and A. B. Harris, Resistance fluctuations in randomly diluted networks Phys. Rev. B 35, 3524-3535 (1987)
  5. 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)
  6. 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)
  7. R. Blumenfeld, Probability densities of homogeneous functions: Explicit approximation and applications to percolating networks J. Phys. A: Math. Gen. 21, 815-825 (1988)
  8. U. Sivan, R. Blumenfeld, Y. Meir and O. Entin-Wohlman, Dynamic structure factor of a deterministic fractal Europhys. Lett. 7, 249-253 (1988)
  9. 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)
  10. 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)
  11. R. Blumenfeld and A. Aharony, Breakdown of multifractal behaviour in diffusion limited aggregates Phys. Rev. Lett. 62, 2977-2980 (1989)
  12. R. Blumenfeld, Universality and superuniversality of multifractals in nonlinear networks J. Stat. Phys. 56, 233-241 (1989)
  13. 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)
  14. O. Entin-Wohlman, U. Sivan, R. Blumenfeld and Y. Meir, Dynamic structure factor of fractals Physica D 38, 93-97 (1989)
  15. R. Blumenfeld, Novel flux solutions in nonlinear continuum systems with negative dynamic resistance Physica A 168, 697-704 (1990)
  16. 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)
  17. 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)
  18. R. Blumenfeld and A. Aharony (Reply), Breakdown of multifractal behaviour in diffusion limited aggregates Phys. Rev. Lett. 64, 1843 (1990)
  19. 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)
  20. 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)
  21. R. Blumenfeld and D. J. Bergman, Nonlinear susceptibilities of granular matter Phys. Rev. B 43, 13682-13683 (1991)
  22. R. C. Ball and R. Blumenfeld, Exact results on exponential screening in two-dimensional diffusion limited aggregation Phys. Rev. A 44, R828-R831 (1991)
  23. 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)
  24. R. C. Ball, P. W. H. Barker and R. Blumenfeld, Sidebranch selection in fractal growth EuroPhys. Lett. 16, 47-52 (1991)
  25. R. Blumenfeld and R. C. Ball, Onset of scale-invariant pattern in growth processes: The cracking problem Physica A 177, 407-415 (1991)
  26. 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)
  27. R. Blumenfeld and R. C. Ball, Onset of scaling behaviour in 2D slow cracking Modern Phys. Lett. B 5, 1567-1573 (1991)
  28. R. Blumenfeld, An exact solution for electromagnetic waves in strongly nonlinear media J. Phys. A; Math. Gen. 25, L275-L282 (1992)
  29. 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)
  30. 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)
  31. C. Bowen, D. L. Hunter, R. Blumenfeld and N. Jan, Magnetism and high T{c} superconductors J. Physique I France 3, 83-92 (1993)
  32. 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)
  33. 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)
  34. R. Blumenfeld and R. C. Ball, A probe for morphology and hierarchical correlations in scale invariant structures Phys. Rev. E 47, 2298-2302 (1993)
  35. R. Blumenfeld, Explicitly exact solutions for waves in a family of nonlinear media Physica D 66, 7-13 (1993)
  36. 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)
  37. R. Blumenfeld and S. Torquato, A coarse-graining procedure to generate and analyze heterogeneous materials: Theory Phys. Rev. E 48, 4492-4500 (1993)
  38. R. Blumenfeld and R. C. Ball, Quantifying morphology of scale-invariant structures beyond the fractal dimension Fractals 1, 985-991 (1993)
  39. 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
  40. 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
  41. 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
  42. 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
  43. R. Blumenfeld, Pattern formation in Laplacian growth: Theory Center for Nonlinear Studies Newsletter 112, April (1995); Los Alamos National Laboratory Report LALP-95-012
  44. R. Blumenfeld, Nonequilibrium brittle fracture propagation: Steady state, oscillations and intermittency, Phys. Rev. Lett. 76, 3703-3706 (1996)
  45. B. L. Holian, R. Blumenfeld and P. Gumbsch, An Einstein model of brittle crack propagation, Phys. Rev. Lett. 78, 78-81 (1997)
  46. R. Blumenfeld, Planar curve representation of many-body system dynamics, Phys. Rev. Lett. 78, 1203-1206 (1997)
  47. 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)
  48. R. Balakrishnan and R. Blumenfeld, Transformation of general curve evolution to a modified Belavin-Polyakov equation, J. Math. Phys. 38, 5878-5888 (1997)
  49. 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)
  50. R. Balakrishnan and R. Blumenfeld, On the twist excitations in a classical anisotropic antiferromagnetic chain, Phys. Lett. A 237, 69-72 (1997)
  51. R. Blumenfeld, Dynamics of fracture propagation in the mesoscale: Theory, Theor. and Appl. Fracture Mech. 30, 209-223 (1998)
  52. R. Blumenfeld, Hierarchical structure of domain walls in magnetic layers Phase Transitions, 69, 237-245 (1999)
  53. 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)
  54. R. Blumenfeld, Pulling a chain's leg: The pullout dynamics of entangled chains Macromolecules, 33, 1082-1088 (2000)
  55. R. C. Ball and R. Blumenfeld, The stress field in granular systems: Loop forces and potential formulation Phys. Rev. Lett., 88, 115505-115508 (2002)
  56. R. Blumenfeld, Dynamics of twists on antiferromagnetic spin chains: Theory, Eur. Phys. J. B 29, 261-263 (2002)
  57. R. Blumenfeld, Stress transmission in planar disordered solid foams J. Phys. A: Math. Gen.36, 2399-2411 (2003); cond-mat/0210336
  58. R. C. Ball and R. Blumenfeld, From Plasticity to a renormalisation group, Phil. Trans. R. Soc. Lond. 360 , 731-740 (2003); cond-mat/0301562
  59. R. Blumenfeld and Sam F. Edwards, Granular entropy: Explicit calculations for planar assemblies, Phys. Rev. Lett. 90, 114303-114306 (2003); cond-mat/0303418.
  60. R. Blumenfeld, Large fluctuations of disentanglement forces and implication for polymer dynamics , Submitted
  61. R. Blumenfeld, Strange dynamics of domain walls and periodic stripes on antiferromagnetic chains, cond-mat/0108470 (2001)
  62. 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
  63. R. Blumenfeld, Stresses in granular systems and emergence of force chains, Phys. Rev. Lett. 93, 108301-108304 (2004); cond-mat/0402556
  64. R. Blumenfeld, S. F. Edwards and R. C. Ball, Granular matter and the mariginally rigid state, J. Phys.: Cond. Mat. 17, S2481-S2487 (2005); cond-mat/0105348
  65. R. Blumenfeld, Auxetic strains - insight from iso-auxetic materials, Molecular Simulation 31, 867-871 (2005).
  66. 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).
  67. R. Blumenfeld , Isostaticity and controlled force transmission in the cytoskeleton - a model awaiting experimental evidence, Biophys. J. 91, 1970-1983 (2006).
  68. R. Blumenfeld , Stresses in two-dimensional isostatic granular systems: Exact solutions, New J. Phys. 9, (2007) 160.
  69. 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)
  70. 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).
  71. 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).
  72. M. Gerritsen, G. Kreiss, R. Blumenfeld, Analysis of stresses in two-dimensional isostatic granular systems, Physica A 387,, 6263-6276 (2008).
  73. R. Blumenfeld and S. F. Edwards, On granular stress statistics: compactivity, angoricity and some open issues, J. Phys. Chem. B 113 , 3981-3987 (2009).
  74. G. Frenkel, R. Blumenfeld, P. R. King and M. Blunt, Topological Analysis of Foams and Tetrahedral Structures, Adv. Eng. Mat. 11 , 169-176 (2009).
  75. 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).
  76. M. Schwartz and R. Blumenfeld, "Plug flow formation and growth in da Vinci Fluids", Granular Matter 13 , 241-245 (2011).
  77. R. Blumenfeld, G. F. Grimwood, M. Schwartz and Sam F. Edwards, "Da Vinci Fluid as a model for dense granular flow", J. Phys. Chem. , submitted (2012).
  78. R. Hihinashvili and R. Blumenfeld, "Structural-entropic characteristics of dense planar granular systems", Granular Matter , to appear (2012).
II. Contributions to symposia and compiled volumes
  1. R. Blumenfeld and A. Aharony, Nolinear resistor fractal networks in Scaling phenomena in disordered systems, eds. R. Pynn and A. Skjeltorp (Plenum, 1985)
  2. 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)
  3. 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)
  4. 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)
  5. 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)
  6. R. Blumenfeld, Novel flux solutions in nonlinear conducting continuum systems with negative dynamic resistance, EPS-8 meeting "Trends in Physics", ed. F. Pleiter (1990)
  7. 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
  8. 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
  9. 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
  10. 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
  11. R. Blumenfeld and Robin C. Ball, Characterization of fractal and hierarchical morphologies beyond the fractal dimension, 1994 MRS Fall Meeting, Boston, MA, USA
  12. S. Zhou, R. Blumenfeld, B. L. Holian and P. S. Lomdahl, Study of fiber composite failure, 1995 MRS Fall Meeting
  13. 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
  14. 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); cond-mat/0501700
  15. 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
  16. 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
  17. 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 ) / Abstract
  18. 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.
  19. 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).
  20. 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.
  21. 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.
  22. R. Blumenfeld and Sam F. Edwards, Theory of strains in auxetic materials, in Festschrift for Prof. J. Friedel's 90th birthday (2011); arXiv:cond- mat/1111.6684 (http://arxiv.org/abs/1111.6684).
III. In preparation and unfinished papers
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.
Books:
  1. R. Blumenfeld, Continuous stress theory of Statically Determinate Systems.
Papers:
(i) Soft matter: polymers, colloids, granular materials and cellular systems
  1. R. Blumenfeld, Skeletonization of bi-continuous structures by functional minimization.
  2. R. Blumenfeld, Theory of stress transmission in three-dimensional isostatic granular systems .
  3. R. Blumenfeld, Cohesionless granular systems as two-phase stato-elastic composites .
  4. R. Blumenfeld*, On a dilemma in the relations between structure and elastic constants in isostatic granular systems.
  5. R. Blumenfeld*, Disentaglement dynamics and applications to deformations in polymer glasses and interfaces.
  6. R. Blumenfeld*, Hysteretic force response in single polymer chain pullout.
  7. R. Blumenfeld*, On quantifying a failure criterion for glassy and solid polymers.
  8. R. Blumenfeld and S. Courty, Evidence of hyperbolic stresses in cellular solids.
  9. R. Blumenfeld and S. Courty, The puzzle of hyperbolic stresses in cellular structures.
(ii) Magnetism, domain wall dynamics
  1. R. Blumenfeld, Position dependent velocities of twists along inhomogeneous antiferromagnetic Heisenberg spin chains.
  2. R. Blumenfeld*, Textures in two-dimensional ferromagnetic Heisenberg systems.
  3. R. Blumenfeld and Jorge Sobehart, The classical antiferromagnetic Heisenberg chain: Novel exact dynamical solutions and an undelying broad symmetry.
  4. R. Blumenfeld and A. B. Saxena, Wrinkling and magneto-active control in single-wall carbon nanotubes.
  5. R. Blumenfeld and Avadh Saxena Exact multi-twist solutions for Heisenberg spins on an elastically deformable cylinder, .
(iii) Miscellaneous
  1. R. Blumenfeld*, A variational algorithm for the minimal path length in random networks.
  2. R. Blumenfeld, Mesoscale brittle fracture propagation in polymers: Noise-free and noise-driven steady states, periodicity and intermittency.
IV. Abstracts and short papers
  1. R. Blumenfeld, Sprouting spikes New Scientist Letters 1795, 58 (16 November 1991).
  2. 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.
  3. 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.
  4. R. Blumenfeld, Oscillations and steady state in crack propagation Bulletin of the American Physical Society (1995).
  5. R. Blumenfeld, Morphology of Laplacian growth: Theory Bulletin of the American Physical Society (1995).
  6. R. Blumenfeld, Review of analyses of fracture roughness 1995 MRS Fall Meeting.
  7. R. Blumenfeld, A minimal model for crack propagation in amorphous materials 1995 MRS Fall Meeting.
  8. R. Blumenfeld and A. B. Saxena, Wrinkling and magneto-active control in single-wall carbon nanotubes, 1998 MRS Fall Meeting.
  9. R Blumenfeld and R C Ball, Loop forces and potential formulation of stress transmission in granular media, 2000 CMMP, Bristol, UK.
  10. R C Ball and R Blumenfeld, The Marginally Rigid State of Matter, and its Hydrodyanmics, 2000 CMMP, Bristol, UK.


Raphael Blumenfeld
Earth Sciences and Engineering, Imperial College, London SW7 2AZ, UK
 &
Cavendish Laboratory, Madingley Road, Cambridge CB3 0HE, UK

 email address email me

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