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
POSTA, GUSTAVO
2005-01-01
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 in questo prodotto:
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