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Stochastic Micro - model of the Couette Flow , to appear in Teor
B. Derrida, M. Evans, V. Hakim, V. Pasquier (1993)
Exact solution of a 1d asymmetric exclusion model using a matrix formulationJournal of Physics A, 26
(1989)
Moment-Closed Processes with Local Interaction
(2009)
Interacting particle systems
B. Derrida, J. Lebowitz, E. Speer (2007)
Entropy of Open Lattice SystemsJournal of Statistical Physics, 126
P. Caputo, F. Martinelli (2002)
RELAXATION TIME OF ANISOTROPIC SIMPLE EXCLUSION PROCESSES AND QUANTUM HEISENBERG MODELSAnnals of Applied Probability, 13
(1985)
Translated under the title Markovskie protsessy s lokal'nym vzaimodeistviem
B. Derrida, C. Enaud, Claudio Landim, S. Olla (2005)
Fluctuations in the Weakly Asymmetric Exclusion Process with Open Boundary ConditionsJournal of Statistical Physics, 118
C. Landim, S. Olla, S. Varadhan (2004)
On Viscosity and Fluctuation-Dissipation in Exclusion ProcessesJournal of Statistical Physics, 115
We consider a symmetric exclusion process on a discrete interval of S points with various boundary conditions at the endpoints. We study the asymptotic decay of correlations as S → ∞. The main result is proving asymptotic independence of a stationary distribution at points of the interval that are far enough away. We do not use Derrida’s algebraic technique but develop a new technique, which has a visual probabilistic sense.
Problems of Information Transmission – Springer Journals
Published: Apr 30, 2009
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