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Large deviation properties of the ASEP with random rates

Grant number: 11/21089-4
Support type:Research Grants - Visiting Researcher Grant - International
Duration: March 10, 2012 - June 10, 2012
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics
Principal Investigator:Serguei Popov
Grantee:Serguei Popov
Visiting researcher: Gunter Markus Schutz
Visiting researcher institution: Forschungszentrum Jülich, Germany
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated research grant:09/52379-8 - Stochastic modeling of interacting systems, AP.TEM

Abstract

We study the microscopic large deviation properties of the ASEP with random rates, i.e. the microscopic space-time structure of this process for atypical currents. For the case of a small number of particles in the infinite lattice we shall study scaling solutions, ergodicity and mean first passage times for an associated generalized random walk similar to the Lamperti problem. In the many-particle case on a finite lattice we shall obtain the current cumulants for a quasi-conservative system conditioned on the absence of particle annihilation. In the disordered case conditioned on an atypically high current we shall construct the generator of an effective process with long-range interactions whose invariant measure is the quasi-stationary measure in the large deviation regime. We address the question whether there is a condensation transition and also what the most likely distribution of distances between particles is. (AU)

Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
DA SILVA, M. A. A.; CRESSONI, J. C.; SCHUETZ, GUNTER M.; VISWANATHAN, G. M.; TRIMPER, STEFFEN. Non-Gaussian propagator for elephant random walks. Physical Review E, v. 88, n. 2 AUG 9 2013. Web of Science Citations: 17.
GALLESCO, CHRISTOPHE; POPOV, SERGUEI; SCHUETZ, GUNTER M. Localization for a Random Walk in Slowly Decreasing Random Potential. Journal of Statistical Physics, v. 150, n. 2, p. 285-298, JAN 2013. Web of Science Citations: 1.

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