Consider a zero range process in a box of diameter L, with rates satisfying the same hypotesis of [Landim, Sethuraman Varadhan 1996]. We prove that the logarithmic Sobolev constant of this process grows as the square of L independently of the number of particles in the system. The interest for results in this direction is illustrated in [Landim, Kipnis, 1999].
Logarithmic Sobolev Inequality for Zero-Range Dynamics / P., Dai Pra; Posta, Gustavo. - In: ANNALS OF PROBABILITY. - ISSN 0091-1798. - STAMPA. - 33:(2005), pp. 2355-2401. [10.1214/009117905000000332]
Logarithmic Sobolev Inequality for Zero-Range Dynamics
POSTA, GUSTAVO
2005
Abstract
Consider a zero range process in a box of diameter L, with rates satisfying the same hypotesis of [Landim, Sethuraman Varadhan 1996]. We prove that the logarithmic Sobolev constant of this process grows as the square of L independently of the number of particles in the system. The interest for results in this direction is illustrated in [Landim, Kipnis, 1999].File allegati a questo prodotto
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