On spectral gap for multicolored disordered lattice gas of exclusion processes

Volume 11, Issue 5, pp 723--733 http://dx.doi.org/10.22436/jnsa.011.05.12

Publication Date: April 06, 2018 Submission Date: February 22, 2017 Revision Date: November 06, 2017 Accteptance Date: March 08, 2018

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Authors

Ali Bey Touati - LaPS laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000, Algeria. Laila Benaon - LaPS laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000, Algeria. Halim Zeghdoudi - LaPS laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000, Algeria.

Abstract

We consider a system of multicolored disordered lattice gas in a volume \(\Lambda\) of \(\mathbb{Z}^{d}\) driven by a disordered Markov generator similar to that of Faggionato and Martinelli [A. Faggionato, F. Martinelli, Probab. Theory Related Fields, \(\textbf{127}\) (2003), 535--608]. The aim of our work is to give a new and elementary computation of the spectral gap of multicolored disordered lattice gas which is an important step towards obtaining the hydrodynamic limit.

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ISRP Style

Ali Bey Touati, Laila Benaon, Halim Zeghdoudi, On spectral gap for multicolored disordered lattice gas of exclusion processes, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 5, 723--733

AMA Style

Touati Ali Bey, Benaon Laila, Zeghdoudi Halim, On spectral gap for multicolored disordered lattice gas of exclusion processes. J. Nonlinear Sci. Appl. (2018); 11(5):723--733

Chicago/Turabian Style

Touati, Ali Bey, Benaon, Laila, Zeghdoudi, Halim. "On spectral gap for multicolored disordered lattice gas of exclusion processes." Journal of Nonlinear Sciences and Applications, 11, no. 5 (2018): 723--733

Keywords

A simple exclusion
Markov generator
spectral gap

MSC

60K35
60F10
60J25

References

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