Recent and selected publications:

• R. Blumenfeld, Biophysical Journal, submitted
  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 2006), to appear
  Basic laws of granular materials / Abstract.
• R. Blumenfeld, Molecular Simulation, Special Issue on Auxetic Materials, eds. D Heyes (Taylor and Francis), to appear
  Auxetic strains - insight from iso-auxetic materials / Abstract
• R. Blumenfeld and S. F. Edwards, EuroPhys. J. E, submitted
  Cellular entropy in two and three dimensions: Explicit calculations / Abstract
• R. Blumenfeld, IMA Volume in Mathematics and its Applications, Vol. 141: 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. , Eur. Phys. J. B 29, 261 (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:



1. R. Blumenfeld, Theory of stress transmission in three-dimensional isostatic granular systems / Abstract
2. R. Blumenfeld, Force chain patterns in jamming of sheared two-dimensional granular packings / Abstract
3. R. Blumenfeld, Cellular systems: A new state of solid matter? / Abstract
4. R. C. Ball and R. Blumenfeld, New equations for plastic yield of granular media / Abstract
5. R. Blumenfeld, Stresses in disordered cellular solids: Explicit solutions for planar foams / Abstract
6. R. Blumenfeld, Disentaglement dynamics and applications to deformations in polymer glasses and interfaces / Abstract
7. R. Blumenfeld, Dynamics of ribbons in three dimensions / Abstract
8. R. Blumenfeld, Position dependent velocities of twists along inhomogeneous antiferromagnetic Heisenberg spin chains / Abstract
9. R. Blumenfeld, Hysteretic force response in single chain pullout / Abstract
10. R. Blumenfeld, Can we quantify a failure criterion for glassy and solid polymers / Abstract
11. R. Blumenfeld, An algorithm for the minimal path length in random networks using a variational analysis / Abstract
12. R. Blumenfeld, Textures in two-dimensional ferromagnetic Heisenberg systems / Abstract
13. R. Blumenfeld and D. Sherrington, Classical inhomogeneous Heisenberg spin chains: Some exact low energy solutions and statistics / Abstract
14. R. Blumenfeld, Strange dynamics of domain walls and periodic stripes along classical antiferromagnetic chains / Abstract



Grant



1. "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

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