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.
Share and Cite
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
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