Recent Publications of Bernard Derrida

Recent Publications

2011

E. Brunet, B. Derrida, A branching random walk seen from the tip J. Stat. Phys. 143, 420-446 (2011) cond-mat/1011.4864
B. Derrida, Microscopic versus macroscopic approaches to non-equilibrium systems J. Stat. Mech.-Theory and Experiment P01030 (2011) cond-mat/1012.1136
A. Gerschenfeld, B. Derrida, Current fluctuations at a phase transition Submitted to EPL cond-mat/1107.2323
T. Bodineau, B. Derrida, Phase fluctuations in the ABC model J. Stat. Phys. to appear arXiv:1108.2039
E. Brunet, B. Derrida, How genealogies are affected by the speed of evolution To appear in Philosophical Magazine cond-mat/1107.2227

2010
E. Brunet, B. Derrida, A. Gerschenfeld, Fluctuations of the heat flux of a one-dimensional hard particle gas EPL 90, 20004 (2010) cond-mat/1002.3545
T. Bodineau, B. Derrida, J.L. Lebowitz, A diffusive system driven by a battery or by a smoothly varying field J. Stat. Phys. 140, 648-675 (2010) cond-mat/1003.5838
A. Gerschenfeld, B. Derrida, J.L. Lebowitz, Anomalous Fourier's law and long range correlations in a 1D non-momentum conserving mechanical model J. Stat. Phys. 141, 757-766 (2010) cond-mat/1007.3798

2009
B. Derrida, G. Giacomin, H. Lacoin, F. L. Toninelli, Fractional moment bounds and disorder relevance for pinning models Commun. Math. Phys. 287, 867-887 (2009) math/0712.2515 [pdf]
B. Derrida, A. Gerschenfeld, Current fluctuations of the one dimensional symmetric simple exclusion process with step initial condition J. Stat. Phys. 136, 1-15 (2009) cond-mat/0902.2364 [pdf]
B. Derrida, A. Gerschenfeld, Current fluctuations in one dimensional diffusive systems with a step initial profile J. Stat. Phys. 137, 978-1000 (2009) cond-mat/0907.3294 [pdf]
E. Brunet, B. Derrida, Statistics at the tip of a branching random walk and the delay of traveling waves EPL 87, 60010 (2009) cond-mat/0905.0613 [pdf]

2008
D. Simon, B. Derrida, Quasi-stationary regime of a branching random walk in presence of an absorbing wall J. Stat. Phys. 131, 203-233 (2008) cond-mat/0710.3689 [pdf]
T. Bodineau, B. Derrida, J.L. Lebowitz, Vortices in the two-dimensional Simple Exclusion Process J. Stat. Phys. 131, 821-841 (2008) cond-mat/0709.0444 [pdf]
C. Appert, B. Derrida, V. Lecomte, F. Van Wijland, Universal cumulants of the current in diffusive systems on a ring Phys. Rev. E 78, 021122 (2008) cond-mat/0804.2590 [pdf]
E. Brunet, B. Derrida, D. Simon, Universal tree structures in directed polymers and models of evolving populations Phys. Rev. E 78, 061102 (2008) cond-mat/0806.1603 [pdf]
T. Bodineau, B. Derrida, V. Lecomte, F. van Wijland, Long range correlations and phase transition in non-equilibrium diffusive systems J. Stat. Phys. 133, 1013-1031 (2008) cond-mat/0806.2394 [pdf]

2007
B. Derrida, J.L. Lebowitz, E.R. Speer, Entropy of open lattice systems J. Stat. Phys. 126, 1083-1108 (2007) cond-mat/0704.3742 [pdf]
E. Katzav, M. Adda-Bedia, B. Derrida, Fracture surfaces of heterogeneous materials: a 2D solvable model EPL 78, 46006 (2007) cond-mat/0610185 [pdf]
B. Derrida, Non-equilibrium steady states: fluctuations and large deviations of the density and of the current J. Stat. Mech. P07023 (2007) cond-mat/07033762 [pdf]
B. Derrida, D. Simon, The survival probability of a branching random walk in presence of an absorbing wall EPL 78, 60006 (2007) cond-mat/0703353 [pdf]
B. Derrida, P. Gaspard, C. Van den Broeck, Work, dissipation, and fluctuations in nonequilibrium physics C. R. Physique 8, 483-485 (2007) [pdf]
T. Bodineau, B. Derrida, Cumulants and large deviations of the current through non-equilibrium steady states C. R. Physique 8, 540-555 (2007) cond-mat/0704.2726 [pdf]
E. Brunet, B. Derrida, A. H. Mueller, S. Munier, Effect of selection on ancestry: an exactly soluble case and its phenomenological generalization Phys. Rev. E 76, 041104 (2007) cond-mat/0704.3389 [pdf]

2006
T. Bodineau, B. Derrida, Current large deviations for asymmetric exclusion processes with open boundaries J. Stat. Phys. 123, 277-300(2006) cond-mat/0509179 [pdf]
E. Brunet, B. Derrida, A. H. Mueller, S. Munier, A phenomenological theory giving the full statistics of the position of fluctuating pulled fronts Phys. Rev. E 73, 056126 (2006) cond-mat/0512021 [pdf]
D. Simon, B. Derrida, Evolution of the most recent common ancestor of a population with no selection J. Stat. Mech. P05002 (2006) cond-mat/0601167 [pdf]
E. Brunet, B. Derrida, A. H. Mueller, S. Munier, Noisy traveling waves: Effect of selection on genealogies Europhys. Lett., 76, 1-7 (2006) cond-mat/0603160 [pdf]
B. Derrida, Matrix ansatz and large deviations of the density in exclusion processes, 367-382 Proceedings of the International Congress of Mathematicians Madrid Spain 2006

2005
B. Derrida, C. Enaud, C. Landim, S. Olla, Fluctuations in the weakly asymmetric exclusion process with open boundary conditions J. Stat. Phys. 118, 795-811 (2005) cond-mat/0511275 [pdf]
P.-E. Roche, B. Derrida, B. Douçot, Mesoscopic full counting statistics and exclusion models Eur. Phys. J. B 43, 529-541 (2005) cond-mat/0312659 [pdf]
T. Bodineau, B. Derrida, Distribution of current in non-equilibrium diffusive systems and phase transitions Phys. Rev. E 72, 066110 (2005) cond-mat/0506540 [pdf]
B. Derrida, E. Brunet, Le mouvement brownien et le théorème de fluctuation-dissipation p 207-264 dans "Einstein aujourd'hui" EDP sciences 2005
B. Derrida, Fluctuations and large deviations in non-equilibrium systems, Proceedings of the Conference Statphys 22 in Bangalore, July 2004, Pramana-journal of physics 64, 695-707 (2005) [pdf]

2004
C. Enaud, B. Derrida, Large deviation functional of the weakly asymmetric exclusion process J. Stat. Phys. 114, 537-562 (2004) cond-mat/0307023 [pdf]
B. Derrida, C. Enaud, J.L. Lebowitz, The asymmetric exclusion process and Brownian excursions J. Stat. Phys. 115, 365-382 (2004) cond-mat/0306078 [pdf]
B. Derrida, B. Douçot, P.-E. Roche, Current fluctuations in the one dimensional Symmetric Exclusion Process with open boundaries J. Stat. Phys. 115, 717-748 (2004) cond-mat/0310453 [pdf]
C. Enaud, B. Derrida, Sample-dependent phase transitions in disordered exclusion models Europhys. Lett. 66, 83-89 (2004) cond-mat/0402450 [pdf]
T. Bodineau, B. Derrida, Current fluctuations in non-equilibrium diffusive systems: an additivity principle Phys. Rev. Lett. 92, 180601 (2004) cond-mat/0402305 [pdf]
P.L. Krapivsky, B. Derrida, Universal properties of growing networks Physica A 340, 714-724 (2004) cond-mat/0408161 [pdf]
E. Brunet, B. Derrida, Exactly soluble noisy traveling-wave equation appearing in the problem of directed polymers in a random medium Phys. Rev. E 70, 016106 (2004) cond-mat/0409261 [pdf]

2003
B. Derrida, J.L. Lebowitz, E.R. Speer, Exact large deviation functional of a stationary open driven diffusive system: the asymmetric exclusion process J. Stat. Phys. 110, 775-810 (2003) cond-mat/0205353 [pdf]
M. Clincy, B. Derrida, M.R. Evans Phase transition in the ABC model Phys. Rev. E 67, 066115 (2003) cond-mat/0209674 [pdf]
S.C. Manrubia, B. Derrida, D.H. Zanette, Genealogy in the era of genomics American Scientist 91, 158-165 (2003)
article reproduit dans Pour la Science 46, 98-103 (2005) [pdf]

2002
B. Derrida, T.M.A. Fink, Sequence determination from overlapping fragments: a simple model of shotgun sequencing Phys. Rev. Lett. 88, 068106 (2002) [pdf]
B. Derrida, J.L. Lebowitz, E.R. Speer, Exact free energy functional for a driven diffusive open stationary nonequilibrium system Phys. Rev. Lett. 89, 030601 (2002) cond-mat/0203161 [pdf]
B. Derrida, J.L. Lebowitz, E.R. Speer, Large deviation of the density drofile in the steady state of the symmetric simple exclusion process J. Stat. Phys. 107, 599-634 (2002) cond-mat/0109346 [pdf]
B. Derrida, Transitions de phases 221-238 dans "La Complexité, vertiges et promesses, 18 histoires de sciences" publié par R. Benkirane, ed Le Pommier 2002

2001
E. Brunet, B. Derrida, Effect of Microscopic Noise on Front Propagation J. Stat. Phys. 103, 269-282 (2001) [pdf]
B. Derrida, J.L. Lebowitz, E.R. Speer, Free Energy Functional for Nonequilibrium Systems : An Exactly Soluble Case Phys. Rev. Lett. 87, 150601 (2001) cond-mat/0105110 [pdf]
J. Vannimenus, B. Derrida, A solvable model of interface depinning in random media J. Stat. Phys. 105, 1-23 (2001) cond-mat/0110470 [pdf]

2000
B. Derrida, J.L. Jacobsen, R. Zeitak, Lyapounov exponent and density of states of a one-dimensional non-Hermitian Schrödinger equation J. Stat. Phys. 98, 31-55 (2000) cond-mat/9906235 [pdf]
B. Derrida, S.C. Manrubia, D.H. Zanette, On the genealogy of a population of biparental individuals J. Theor. Biol. 203, 303-315 (2000) physics/0003016 [pdf]
B. Derrida, S.C. Manrubia, D.H. Zanette, Distribution of repetitions of ancestors in genealogical trees Physica A 281, 1-16 (2000) cond-mat/9912059 [pdf]
E. Brunet, B. Derrida, Ground state energy of a non-integer number of particles with delta attractive interactions Physica A 279, 398-407 (2000) [pdf] cond-mat/0005355
E. Brunet, B. Derrida, Probability distribution of the free energy of a directed polymer in a random medium Phys. Rev. E 61, 6789-6801 (2000) cond-mat/0005352 [pdf]

1999
B. Derrida, C. Appert, Universal large deviation function of the Kardar-Parisi-Zhang equation in one dimension J. Stat. Phys. 94, 1-30 (1999) [pdf]
B. Derrida, B. Jung-Muller, The genealogical tree of a chromosome J. Stat. Phys. 94, 277-298 (1999) [pdf]
B. Derrida, S.C. Manrubia, D.H. Zanette, Statistical properties of genealogical trees Phys. Rev. Lett. 82, 1987-1990 (1999) cond-mat/9902033 [pdf]
B. Derrida, M. Evans, Bethe ansatz solution for a defect particle in the asymmetric exclusion process J. Phys. A 32, 4833-4850 (1999) cond-mat/9902133 [pdf]
E. Brunet, B. Derrida, Microscopic models of traveling wave equations, Proceedings of the Conference on Computational Physics (CCP 1998) in Granada, September 2-5 1998, Computer Physics Communications 121-122, 376-381 (1999) [pdf]

1998
B. Derrida, J.L. Lebowitz, Exact large deviation function in the asymmetric exclusion process Phys. Rev. Lett. 80, 209-213 (1998) cond-mat/9809044 [pdf]
B. Derrida, S. Goldstein, J.L. Lebowitz, E.R. Speer, Shift equivalence of measures and the intrinsic structure of shocks in the asymmetric simple exclusion process J. Stat. Phys. 93, 547-571 (1998) cond-mat/9804158 [pdf]
B. Derrida, An exactly soluble non-equilibrium system: the asymmetric simple exclusion process Physics Reports 301, 65-83 (1998), Proceedings of the 1997-Altenberg Summer School on Fundamental Problems in Statistical Mechanics [pdf]
B. Derrida, Spin glasses, random Boolean networks and simple models of evolution, Proceedings of the Trieste Conference on Nonlinear cooperative phenomena in biological systems, August 1997, 216-226 in Non linear cooperative phenomena in biological systems Ed L. Matsson, World Scientific 1998 [pdf]

1997
B. Derrida, K. Mallick, Exact diffusion constant for one dimensional partially asymmetric exclusion model J. Phys. A 30, 1031-1046 (1997) [pdf]
B. Derrida, How to extract information from simulations of coarsening at finite temperature? Phys. Rev. E 55, 3705-3707 (1997) [pdf]
B. Derrida, J.L. Lebowitz, E.R. Speer, Shock profiles for the partially asymmetric simple exclusion process J. Stat. Phys. 89, 135-167 (1997) cond-mat/9708051 [pdf]
E. Brunet, B. Derrida, Shift in the velocity of a front due to a cut-off Phys. Rev. E 56, 2597-2604 (1997) cond-mat/0005362 [pdf]
B. Derrida, Non-trivial exponents in coarsening phenomena Physica D 103, 466-477 (1997), Proceedings for the Workshop on Lattice Dynamics, Université Denis Diderot, Juin 95 [pdf]
B. Derrida, Zero temperature Glauber dynamics of the 1d Potts model p 126-140 The mathematical beauty of physics volume dedicated to Claude Itzykson (volume 24 in advances series in mathematical physics of world scientific) (1997)
B. Derrida, From random walks to spin glasses Physica D 107, 186-198 (1997), Proceedings for the Conference on Landscape Paradigms in Physics and Biology in Los Alamos, May 1996 [pdf]
B. Derrida, M.R. Evans, The asymmetric exclusion model: exact results through a matrix approach p 277-304 dans Non-equilibrium statistical mechanics in one dimension, ed V. Privman (C.U.P.) 1997

Recent Publications

2011

2010

2009

2008

2007

2006

2005

2004

2003

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1997