Non-equilibrium systems and exclusion processes
B. Derrida, J.L. Lebowitz, E.R. Speer, H. Spohn, Fluctuations of a
stationary non-equilibrium interface
Phys. Rev. Lett. 67,
165-168 (1991)
[pdf]
B. Derrida, J.L. Lebowitz, E.R. Speer, H. Spohn, Dynamics of an
anchored Toom interface J. Phys. A24, 4805-4834 (1991)
[pdf]
B. Derrida, E. Domany, D. Mukamel, An exact solution of the one
dimensional asymmetric
exclusion model with open boundaries J. Stat. Phys. 69, 667-687
(1992)
[pdf]
B. Derrida, M.R. Evans, Exact correlation functions in an
asymmetric exclusion model with open boundaries J. Phys. I France 3,
311-322 (1993)
B. Derrida, M.R. Evans, V. Hakim, V. Pasquier, Exact solution of
a 1d asymmetric exclusion model using a matrix formulation J. Phys.
A26, 1493-1517 (1993)
[pdf]
B. Derrida, S.A. Janowsky, J.L. Lebowitz, E.R. Speer,
Microscopic shock profiles: exact solution of a non-equilibrium
system Europhys. Lett. 22, 651-656 (1993)
[pdf]
B. Derrida, M.R. Evans, D. Mukamel, Exact diffusion constant for
one dimensional asymmetric exclusion models J. Phys. A26, 4911-4918
(1993)
[pdf]
B. Derrida, S.A. Janowsky, J.L. Lebowitz, E.R. Speer,
Exact solution of the totally asymmetric simple exclusion process:
shock profiles J. Stat. Phys. 73, 813-842 (1993)
[pdf]
B. Derrida, M.R. Evans, K. Mallick, Exact diffusion constant of a
one dimensional asymmetric exclusion model with open boundaries J.
Stat. Phys. 79, 833-874 (1995)
[pdf]
B. Derrida, Systems out of equilibrium: some exactly soluble
models in Stat. Phys. 19, Xiamen, China p 243-253,
ed Hao Bailin (World Scientific 1996)
[pdf]
B. Derrida, K. Mallick, Exact diffusion constant for one
dimensional partially asymmetric exclusion model
J. Phys. A 30, 1031-1046 (1997)
[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
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]
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, 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, 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, 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, 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]
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]
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, 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]
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]
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)
[pdf]
cond-mat/0511275
P.-E. Roche, B. Derrida, B. Douçot,
Mesoscopic full counting statistics and exclusion models
Eur. Phys. J. B 43, 529-541 (2005)
[pdf]
cond-mat/0312659
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]
B. Derrida, Matrix ansatz and large deviations of
the density in exclusion
processes,
Proceedings of the International Congress of Mathematicians Madrid
August 2006
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]
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]
cond-mat/0509179
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]
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, 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]
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]
T. Bodineau, B. Derrida, V. Lecomte, F. van Wijland,
Long range correlations and phase transition in non-equilibrium diffusive sy
stems
J. Stat. Phys. 133, 1013-1031 (2008)
cond-mat/0806.2394
[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]
A. Gerschenfel, B. Derrida, J.L. Lebowitz,
Anomalous Fourier's law and long range correlations in a 1D non-momentum conserving mechanical model
cond-mat/1007.3798
E. Brunet, B. Derrida, A Gerschenfeld,
Fluctuations of the heat flux of a one-dimensional hard particle gas
EPL 90, 20004 (2009)
cond-mat/1002.3545
A. Gerschenfel, B. Derrida, J.L. Lebowitz,
Anomalous Fourier's law and long range correlations in a 1D non-momentum conserving mechanical model
cond-mat/1007.3798