Publications
 I. Publications in primary journals
(Note: the following list is not constantly up to date. Please refer to my formal CV, which is usually the first to be updated)
  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) Abstract
  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) Abstract
  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) Abstract
  4. R. Blumenfeld, Y. Meir, A. Aharony and A. B. Harris, Resistance fluctuations in randomly diluted networks Phys. Rev. B 35, 3524-3535 (1987) Abstract
  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) Abstract
  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) Abstract
  7. R. Blumenfeld, Probability densities of homogeneous functions: Explicit approximation and applications to percolating networks J. Phys. A: Math. Gen. 21, 815-825 (1988) Abstract
  8. U. Sivan, R. Blumenfeld, Y. Meir and O. Entin-Wohlman, Dynamic structure factor of a deterministic fractal Europhys. Lett. 7, 249-253 (1988) Abstract
  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) Abstract
  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) Abstract
  11. R. Blumenfeld and A. Aharony, Breakdown of multifractal behaviour in diffusion limited aggregates Phys. Rev. Lett. 62, 2977-2980 (1989) Abstract
  12. R. Blumenfeld, Universality and superuniversality of multifractals in nonlinear networks J. Stat. Phys. 56, 233-241 (1989) Abstract
  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) Abstract
  14. O. Entin-Wohlman, U. Sivan, R. Blumenfeld and Y. Meir, Dynamic structure factor of fractals Physica D 38, 93-97 (1989) Abstract
  15. R. Blumenfeld, Novel flux solutions in nonlinear continuum systems with negative dynamic resistance Physica A 168, 697-704 (1990) Abstract
  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) Abstract
  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) Abstract
  18. R. Blumenfeld and A. Aharony (Reply), Breakdown of multifractal behaviour in diffusion limited aggregates Phys. Rev. Lett. 64, 1843 (1990) Abstract
  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) Abstract
  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) Abstract
  21. R. Blumenfeld and D. J. Bergman, Nonlinear susceptibilities of granular matter Phys. Rev. B 43, 13682-13683 (1991) Abstract
  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) Abstract
  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) Abstract
  24. R. C. Ball, P. W. H. Barker and R. Blumenfeld, Sidebranch selection in fractal growth EuroPhys. Lett. 16, 47-52 (1991) Abstract
  25. R. Blumenfeld and R. C. Ball, Onset of scale-invariant pattern in growth processes: The cracking problem Physica A 177, 407-415 (1991) Abstract
  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) Abstract
  27. R. Blumenfeld and R. C. Ball, Onset of scaling behaviour in 2D slow cracking Modern Phys. Lett. B 5, 1567-1573 (1991) Abstract
  28. R. Blumenfeld, An exact solution for electromagnetic waves in strongly nonlinear media J. Phys. A; Math. Gen. 25, L275-L282 (1992) Abstract
  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) Abstract
  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) Abstract
  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) Abstract
  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) Abstract
  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) Abstract
  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) Abstract
  35. R. Blumenfeld, Explicitly exact solutions for waves in a family of nonlinear media Physica D 66, 7-13 (1993) Abstract
  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) Abstract
  37. R. Blumenfeld and S. Torquato, A coarse-graining procedure to generate and analyze heterogeneous materials: Theory Phys. Rev. E 48, 4492-4500 (1993) Abstract
  38. R. Blumenfeld and R. C. Ball, Quantifying morphology of scale-invariant structures beyond the fractal dimension Fractals 1, 985-991 (1993) Abstract
  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 Abstract
  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 Abstract
  41. R. Blumenfeld, Formulating a first-principles statistical theory of growing surfaces in two-dimensional Laplacian fields Phys. Rev. E 50, 2952 (1994); Los Alamos National Laboratory Report LA-UR-93-4338 Abstract
  42. R. Blumenfeld and R. C. Ball, Two dimensional Laplacian growth as a system of creating and annihilating particles Phys. Rev. E 51, 3434 (1995); Los Alamos National Laboratory Report LA-UR-94-2466 Abstract
  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 Abstract
  44. R. Blumenfeld, Nonequilibrium brittle fracture propagation: Steady state, oscillations and intermittency, Phys. Rev. Lett. 76, 3703 (1996) Abstract
  45. B. L. Holian, R. Blumenfeld and P. Gumbsch, An Einstein model of brittle crack propagation, Phys. Rev. Lett. 78, 78 (1997) Abstract
  46. R. Blumenfeld, Planar curve representation of many-body system dynamics, Phys. Rev. Lett. 78, 1203 (1997) Abstract
  47. R. Blumenfeld and Benoit B. Mandelbrot Mass fractal lacunarity, L\'evy dusts, Mittag-Leffler statistics, and perceived dimension, Phys. Rev. E 56, 112 (1997) Abstract
  48. R. Balakrishnan and R. Blumenfeld, Transformation of general curve evolution to a modified Belavin-Polyakov equation, J. Math. Phys.38, 5878 (1997) Abstract
  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 (1997) Abstract
  50. R. Balakrishnan and R. Blumenfeld, On the twist excitations in a classical anisotropic antiferromagnetic chain, Phys. Lett. A 237, 69 (1997) Abstract
  51. R. Blumenfeld, Dynamics of fracture propagation in the mesoscale: Theory, Theor. and Appl. Fracture Mech. 30, 209 (1998) Abstract
  52. R. Blumenfeld, Hierarchical structure of domain walls in magnetic layers Phase Transitions, 69, 237-245 (1999) Abstract
  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 (2000) Abstract
  54. R. Blumenfeld, Pulling a chain's leg: The pullout dynamics of entangled chains Macromolecules, 33, 1082-1088 (2000) Abstract
  55. R. C. Ball and R. Blumenfeld, The stress field in granular systems: Loop forces and potential formulation Phys. Rev. Lett., 88, 115505 (2002) Abstract
  56. R. Blumenfeld, Dynamics of twists on antiferromagnetic spin chains: Theory, Eur. Phys. J. B 29, 261 (2002) Abstract
  57. R. Blumenfeld, Stress transmission in planar disordered solid foams J. Phys. A: Math. Gen.36, 2399-2411 (2003); cond-mat/0210336 Abstract
  58. R. C. Ball and R. Blumenfeld, From Plasticity to a renormalisation group, Phil. Trans. R. Soc. Lond. 360 , 731 (2003); cond-mat/0301562 Abstract
  59. R. Blumenfeld and Sam F. Edwards, Granular entropy: Explicit calculations for planar assemblies, Phys. Rev. Lett. 90, 114303 (2003); cond-mat/0303418. Abstract
  60. R. Blumenfeld, Large fluctuations of disentanglement forces and implication for polymer dynamics , Submitted Abstract
  61. R. Blumenfeld, Strange dynamics of domain walls and periodic stripes on antiferromagnetic chains, cond-mat/0108470 (2001) Abstract
  62. R. Blumenfeld, Stress in planar cellular solids and isostatic granular assemblies: Coarse-graining the constitutive equation", Physica A 336, 361 (2004); cond-mat/0312313 Abstract
  63. R. Blumenfeld, Stresses in granular systems and emergence of force chains, Phys. Rev. Lett. 93, 108301 (2004); cond-mat/0402556 Abstract
  64. R. Blumenfeld, S. F. Edwards and R. C. Ball, Granular matter and the mariginally rigid state, J. Phys.: Cond. Mat. 17, S2481 (2005); cond-mat/0105348 Abstract
  65. R. Blumenfeld, Stress transmission and isostatic states of non-rigid particulate systems , 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 Abstract
  66. R. Blumenfeld and S. F. Edwards, Cellular entropy in two and three dimensions: Explicit calculations , EuroPhys. J. E, submitted Abstract
  67. R. Blumenfeld, Auxetic strains - insight from iso-auxetic materials, Molecular Simulation, Special Issue on Auxetic Materials, eds. D Heyes (Taylor and Francis), to appear Abstract
  68. R. Blumenfeld, Isostaticity and controlled force transmission in the cytoskeleton - a model awaiting experimental evidence, Molecular and Chemical Biology, submitted.
II. In preparation
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.
Papers: (i) Soft matter: polymers, colloids, granular materials and cellular systems
  1. R. Blumenfeld, Theory of stress transmission in three-dimensional marginally rigid granular assembliesAbstract .
  2. R. Blumenfeld*, On a dilemma in the relations between structure and elastic constants in disordered 2D solid foams.
  3. R. Blumenfeld, Entropy and stress transmission in cellular systems: Two faces of the same tensor.
  4. R. Blumenfeld*, Cellular systems: A new state of solid matter?.
  5. R. C. Ball and R. Blumenfeld, New equations for plastic yield of granular media.
  6. R. Blumenfeld*, Disentaglement dynamics and applications to deformations in polymer glasses and interfaces.
  7. R. Blumenfeld*, Hysteretic force response in single polymer chain pullout.
  8. R. Blumenfeld*, On quantifying a failure criterion for glassy and solid polymers.
(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.
III. 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) pp. 313-316.
  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) pp. 121-130.
  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 Proceedings of the 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 Proceedings of the 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 Proceedings of the 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 General 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 General 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, Boston, MA, USA
  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. Edited by R.H. Sarma and M.H. Sarma.
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 / Abstract
  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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