[PDF] Top 20 Current Fluctuations in the exclusion process and Bethe Ansatz
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Current Fluctuations in the exclusion process and Bethe Ansatz
... Functional Bethe Ansatz, large deviations I. INTRODUCTION The asymmetric exclusion process (ASEP) plays a seminal role in non-equilibrium physics of low dimensional systems ... Voir le document complet
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Random walk driven by the simple exclusion process
... of the model studied here was initiated in [5], where several conjectures, based on numerical computations and some heuristics, were ...of the “key open questions" asked in (3.8) ... Voir le document complet
43
Canopy of binary trees, Catalan tableaux and the asymmetric exclusion process
... physicists, in particular Derrida and coautors. A method with a matrix ansatz has been introduced by Derrida et ...[9] and appears to be a very powerful tool for giving various different ... Voir le document complet
13
Mixing time and cutoff for the weakly asymmetric simple exclusion process
... In the present work, we identify the full asymptotic of the mixing time (with the right constant) when the bias is either negligible compared to, or much larger than log N/N (or ... Voir le document complet
39
Nonequilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps
... equilibrium, the asymptotic behavior of a tagged particle appears as one of the central problems in the theory of interacting particle systems, and remains mostly ...however the ... Voir le document complet
14
Connected operators for the totally asymmetric exclusion process
... using the algebraic properties of the TASEP algebra (2-4), we have derived an exact combinatorial expression for the family of connected operators that commute with the Markov ...elucidate ... Voir le document complet
11
Fractional Fick's law for the boundary driven exclusion process with long jumps
... consider the symmetric exclusion process with long jumps in contact with two reservoirs with different densities at the ...that in the non-equilibrium stationary state ... Voir le document complet
29
Totally Asymmetric Simple Exclusion Process on Networks
... on the transport characteristic J (ρ) of TASEP transport on Poisson ...shows the current J (averaged over all segments) as a function of den- sity ρ, for various connectivities ...c. The MF ... Voir le document complet
5
Diffusive Behaviour of the Equilibrium Fluctuations in the Asymmetric Exclusion Processes
... and challenging problem is to determine the corresponding limit process in these ...review in this article results concerning the dimension d ≥ 3. The diffusive behaviour ... Voir le document complet
18
Exact Current Statistics of the Asymmetric Simple Exclusion Process with Open Boundaries
... During the last two decades, substantial progress has been made towards a statistical theory of non-equilibrium systems ...atypical fluctuations of a physical observable, are likely to be the best ... Voir le document complet
6
The Exclusion Process: A paradigm for non-equilibrium behaviour
... The asymmetric exclusion process is a paradigm for non-equilibrium behaviour in low ...as the Ising model for phase transitions, the ASEP is the simplest non-trivial ... Voir le document complet
39
EXCEEDINGLY LARGE DEVIATIONS OF THE TOTALLY ASYMMETRIC EXCLUSION PROCESS
... to the nature of exclusion. Instead, one needs to speed up the Poisson clocks jointly at N sites, which happens with probability (exp(−O(N ))) N = exp(−O(N 2 ...)). The speed-N functional ... Voir le document complet
60
EQUILIBRIUM FLUCTUATIONS FOR DIFFUSIVE SYMMETRIC EXCLUSION WITH LONG JUMPS AND INFINITELY EXTENDED RESERVOIRS
... of the long jumps exclusion process with an infinite variance p(·) and without reservoirs has been studied in ...[19]. In [3, 5, 6] infinitely extended reservoirs are added to ... Voir le document complet
30
Interactions between electrons, mesoscopic Josephson effect and asymmetric current fluctuations
... modify the interactions between electrons A few years later, Kaminski and Glazman proposed [37] an explanation for this behavior based on the presence of a tiny concentration of magnetic im- ... Voir le document complet
293
Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient
... for the current through the h−1, 0i bond in a zero-range ...relation the coupling method. The main problem is that the associated zero-range dynamics in the ... Voir le document complet
9
Transfer matrices for the totally asymmetric simple exclusion process
... However, the very fact that the weights of configurations of different sizes can be related through some combinatorial identities is deeply puzzling; indeed, two models of different sizes have a priori no ... Voir le document complet
8
Large deviations of a tracer in the symmetric exclusion process
... 05.40.-a,05.60.-k The collective dynamics of a complex system can be probed by attaching a neutral tag to a particle, that does not alter its interactions with the environment, and by monitoring ... Voir le document complet
11
Process interpretation of current entropic bounds
... characterizing the fluctuations of currents in nonequilibrium Markov processes are bounded above by a parabola determined only by the stationary current and stationary entropy ... Voir le document complet
7
Bethe Ansatz and Q-operator for the open ASEP
... The asymmetric simple exclusion process (ASEP), a one-dimensional discrete lattice gas model with hard core exclusion and biased diffusion, is one of the most extensively ... Voir le document complet
47
Current fluctuations for totally asymmetric exclusion on the relaxation scale
... Conclusions. The fluctuations of the current have been computed for TASEP, a far from equilibrium model with interacting particles, on the temporal scale on which the relaxation ... Voir le document complet
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