Recent and selected publications:
Note that not all the papers are acvailable in pdf format from this page but almost all of them are available from my full publication list. Also note that for my citation list and citation indices, such as H-Index and i10-Index, see Google Scholar - http://scholar.google.com/citations?user=t1e0xRQAAAAJ&hl=en .
- T. Matsushima and R. Blumenfeld,
Powders and Grains 2013 , to appear
Microstructural characteristics of planar granular solids /
Abstract
T. Matsushima and R. Blumenfeld, Phys. Rev. E, Submitted (2012) (also http://arxiv.org/pdf/1207.2988.pdf)
Fundamental structural characteristics of planar granular assemblies: scaling away friction and initial state /
Abstract
R. Blumenfeld, J. F. Jordan and S. F. Edwards, Powders and Grains 2013 , to appear
Granular statistical mechanics: volume-stress phase space, equipartition and equations of state /
Abstract
R. Blumenfeld, J. F. Jordan and S. F. Edwards, Phys. Rev. Lett. 109, 238001 (2012)
(http://arxiv.org/pdf/1204.2977.pdf)
Inter-dependence of the volume and stress ensembles and equipartition in statistical mechanics of granular systems /
Abstract
R. Hihinashvili and R. Blumenfeld, Granular Matter 14, 277-282 (2012)
Structural-entropic characteristics of dense planar granular systems /
Abstract
R. Blumenfeld and Sam F. Edwards, J. Superconductivity and Novel Magnetism 25, 565 (2012); cond-mat/1111.6684
Theory of strains in auxetic materials /
Abstract
M. Schwartz and R. Blumenfeld, Granular Matter 13 , 241-245 (2011)
Plug flow formation and growth in da Vinci Fluids /
Abstract
R. Blumenfeld, Sam F. Edwards and M. Schwartz, European J. Phys. E 32 , 333-338 (2010)
Da Vinci Fluids, catch-up dynamics and dense granular flow /
Abstract
G. Frenkel, R. Blumenfeld, P. R. King and M. Blunt, Adv. Eng. Mat. 11 , 169-176 (2009)
Topological Analysis of Foams and Tetrahedral Structures /
Abstract
R. Blumenfeld and S. F. Edwards, J. Phys. Chem. B 113 , 3981-3987, (2009)
On granular stress statistics: compactivity, angoricity and some open issues /
Abstract
G. Frenkel, R. Blumenfeld, G. Zdenek and P. R. King, Phys. Rev. E 77, 041304 (2008)
Structural characterization and statistical properties of two-dimensional granular systems /
Abstract
M. Gerritsen, G. Kreiss, R. Blumenfeld, Phys. Rev. Lett. 101, 098001 (2008)
Stress chain solutions in two-dimensional isostatic granular systems: fabric-dependent paths, leakage and branching /
Abstract
R. Blumenfeld, in Lecture Notes in Complex Systems Vol. 8: Granular and Complex Materials, pp 43-53, eds. T. Aste, A. Tordesillas and T. D. Matteo (World Scientific 2007), Singapore )
On entropic characterization of granular materials /
Abstract
R. Blumenfeld and S. F. Edwards, Phys. Rev. Lett. 99, 089402 (2007)
Blumenfeld and Edwards Reply to Comment on "Granular Entropy: Explicit Calculations for Planar Assemblies"
R. Blumenfeld, Biophysical Journal 91, 1970-1983 (2006)
Isostaticity and controlled force transmission in the cytoskeleton - a model awaiting experimental evidence / Abstract
S. F. Edwards and R. Blumenfeld, in "Physics of Granular Materials", ed. A. Mehta (Cambridge University Press, Cambridge 2007)
Basic laws of granular materials /
Abstract.
R. Blumenfeld, Molecular Simulation 31, 867-871 (2005)
Auxetic strains - insight from iso-auxetic materials /
Abstract
R. Blumenfeld and Sam F. Edwards, Eur. Phys. J. E 19, 23-30 (2006)
Geometric partition functions of cellular systems: Explicit calculation of the entropy in two and three dimensions /
Abstract
R. Blumenfeld, 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
Stress transmission and isostatic states of non-rigid particulate systems /
Abstract
R. Blumenfeld, S. F. Edwards and R. C. Ball, J. Phys.: Cond. Mat. 17, S2481-S2487 (2005); cond-mat/0105348
Granular matter and the mariginally rigid state /
Abstract
R. Blumenfeld, Phys. Rev. Lett. 93, 108301 (2004); cond-mat/0402556,
Stresses in granular systems and emergence of force chains / Abstract
R. Blumenfeld, Physica A 336, 361 (2004); cond-mat/0312313,
Stress in planar cellular solids and isostatic granular assemblies: Coarse-graining the constitutive equation / Abstract
R. C. Ball and R. Blumenfeld, Phil. Trans. R. Soc. Lond. 360, 731 (2003); cond-mat/0301562
From Plasticity to a renormalisation group /
Abstract
R. Blumenfeld and Sam F. Edwards, Phys. Rev. Lett. 90, 114303 (2003)
Granular entropy: Explicit calculations for planar assemblies /
Abstract
R. Blumenfeld, J. Phys. A: Math. Gen. 36, 2399-2411 (2003); cond-mat/0210336
Stress transmission in planar disordered solid foams / Abstract
R. Blumenfeld, Euro. Phys. J. B 29, 261-263 (2002)
Dynamics of twists on antiferromagnetic spin chains: Theory / Abstract
R. C. Ball and R. Blumenfeld, Phys. Rev. Lett. 88, 115505 (2002)
The stress field in granular systems: Loop forces and potential formulation / Abstract
R. Blumenfeld, , cond-mat/0108471
Large fluctuations of disentanglement forces and implication for polymer dynamics / Abstract
R. Blumenfeld, cond-mat/0108470 (2001)
Strange dynamics of domain walls and periodic stripes on antiferromagnetic chains / Abstract
R. Blumenfeld and R. Balakrishnan, J. Phys. A 33, 2459 (2000)
Exact multi-twist solutions to the Belavin-Polyakov equation and applications to magnetic systems / Abstract
(Figure 1, Figure 2, Figure 3)
R. Blumenfeld, Macromolecules 33, 1082 (2000)
Pulling a chain's leg: The pullout dynamics of entangled chains / Abstract
(Figure 1, Figure 2, Figure 3, Figure 4, Figure 5)
R. Blumenfeld, Phase Transitions 69, 237-245 (1999)
Hierarchical structure of domain walls in magnetic layers / Abstract
R. Blumenfeld, Theor. and Appl. Fracture Mech. 30, 209 (1998)
Dynamics of fracture propagation in the mesoscale: Theory / Abstract
A.E. Garcia, R. Blumenfeld, G. Hummer and J. A. Krumhansl, Physica D 107, 225 (1997)
Multi-Basin Dynamics of a Protein in a Crystal Environment / Abstract
R. Balakrishnan and R. Blumenfeld, Phys. Lett. A 237, 69 (1997)
On the twist excitations in a classical anisotropic antiferromagnetic chain / Abstract
R. Balakrishnan and R. Blumenfeld, J. Math. Phys. 38, 5878 (1997)
Transformation of general curve evolution to a modified Belavin-Polyakov equation / Abstract
R. Blumenfeld and Benoit B. Mandelbrot, Phys. Rev. E 56, 112 (1997)
Mass fractal lacunarity, Lèvy dusts, Mittag-Leffler statistics, and perceived dimension / Abstract
R. Blumenfeld, Phys. Rev. Lett. 78, 1203 (1997)
Planar curve representation of many-body system dynamics / Abstract
B. L. Holian, R. Blumenfeld and P. Gumbsch, Phys. Rev. Lett. 78, 78 (1997)
An Einstein model of brittle crack propagation / Abstract
R. Blumenfeld, Phys. Rev. Lett. 76, 3703 (1996)
Nonequilibrium brittle fracture propagation: Steady state, oscillations and intermittency / Abstract
R. Blumenfeld and R. C. Ball, Phys. Rev. E 51, 3434 (1995)
Two dimensional Laplacian growth as a system of creating and annihilating particles Abstract
In preparation and unfinished papers:
- R. Blumenfeld and S. Edwards, Compactivity, angoricity and statistics of microstates of granular systems / Abstract
- R. Blumenfeld, Skeletonization of bi-continuous structures by functional minimization / Abstract
- R. Blumenfeld and S. Courty, The puzzle of hyperbolic stresses in cellular structures / Abstract
- R. Blumenfeld, Theory of stress transmission in three-dimensional isostatic granular systems / Abstract
- R. Blumenfeld, Cohesionless granular systems as two-phase stato-elastic composites / Abstract
- R. C. Ball and R. Blumenfeld, New equations for plastic yield of granular media / Abstract
- R. Blumenfeld, Disentaglement dynamics and applications to deformations in polymer glasses and interfaces / Abstract
- R. Blumenfeld, Dynamics of ribbons in three dimensions / Abstract
- R. Blumenfeld, Position dependent velocities of twists along inhomogeneous antiferromagnetic Heisenberg spin chains / Abstract
- R. Blumenfeld, Hysteretic force response in single chain pullout / Abstract
- R. Blumenfeld, Can we quantify a failure criterion for glassy and solid polymers / Abstract
- R. Blumenfeld, An algorithm for the minimal path length in random networks using a variational analysis / Abstract
- R. Blumenfeld, Textures in two-dimensional ferromagnetic Heisenberg systems / Abstract
- R. Blumenfeld and D. Sherrington, Classical inhomogeneous Heisenberg spin chains: Some exact low energy solutions and statistics / Abstract
- R. Blumenfeld, Strange dynamics of domain walls and periodic stripes along classical antiferromagnetic chains / Abstract
Grant
- "Skeletonisation, entropic
characterisation and conductivity-permeability relationship in porous media", EPSRC Grant GR/T28959/01.
Raphael Blumenfeld:
Earth Sciences and Engineering, Imperial College, London SW7 2AZ, UK
&
Cavendish Laboratory, Madingley Road, Cambridge CB3 0HE, UK
email me
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