Metastability of reversible condensed zero range processes on a finite set
نویسندگان
چکیده
منابع مشابه
Metastability of Reversible Condensed Zero Range Processes on a Finite Set
Let r : S × S → R+ be the jump rates of an irreducible random walk on a finite set S, reversible with respect to some probability measure m. For α > 1, let g : N → R+ be given by g(0) = 0, g(1) = 1, g(k) = (k/k − 1)α, k ≥ 2. Consider a zero range process on S in which a particle jumps from a site x, occupied by k particles, to a site y at rate g(k)r(x, y). Let N stand for the total number of pa...
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We propose a definition o meta-stability and obtain sufficient conditions for a sequence of Markov processes on finite state spaces to be metastable. In the reversible case, these conditions reduce to estimates of the capacity and the measure of certain meta-stable sets. We prove that a class of condensed zero-range processes with asymptotically decreasing jump rates is meta-stable.
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2011
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-010-0337-0