We consider the ABC dynamics, with equal density of the three species, on the discrete ring with N sites. In this case, the process is reversible with respect to a Gibbs measure with a mean field interaction that undergoes a second order phase transition. We analyze the relaxation time of the dynamics and show that at high temperature it grows at most as N(2) while it grows at least as N(3) at low temperature.

On the Dynamical Behavior of the ABC Model / BERTINI MALGARINI, Lorenzo; Nicoletta, Cancrini; Posta, Gustavo. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 144:6(2011), pp. 1284-1307. [10.1007/s10955-011-0294-8]

On the Dynamical Behavior of the ABC Model

BERTINI MALGARINI, Lorenzo;POSTA, GUSTAVO
2011

Abstract

We consider the ABC dynamics, with equal density of the three species, on the discrete ring with N sites. In this case, the process is reversible with respect to a Gibbs measure with a mean field interaction that undergoes a second order phase transition. We analyze the relaxation time of the dynamics and show that at high temperature it grows at most as N(2) while it grows at least as N(3) at low temperature.
abc model; interchange process; mean field gibbs measures; spectral gap
01 Pubblicazione su rivista::01a Articolo in rivista
On the Dynamical Behavior of the ABC Model / BERTINI MALGARINI, Lorenzo; Nicoletta, Cancrini; Posta, Gustavo. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 144:6(2011), pp. 1284-1307. [10.1007/s10955-011-0294-8]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/515972
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