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Quantum Field Theory and Critical Phenomena$
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Jean Zinn-Justin

Print publication date: 2002

Print ISBN-13: 9780198509233

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198509233.001.0001

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Critical Dynamics

Critical Dynamics

Chapter:
(p.832) 36 CRITICAL DYNAMICS
Source:
Quantum Field Theory and Critical Phenomena
Author(s):

JEAN ZINN-JUSTIN

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198509233.003.0036

This chapter studies the time evolution of classical statistical systems in the critical domain. Typical quantities of interest are relaxation rates towards equilibrium, time-dependent correlation functions, and transport coefficients. The main motivation for such a study is that, in systems in which the dynamics is local (on short time scales a modification of a dynamic variable has an influence only locally in space), when the correlation length becomes large, a large time scale emerges which characterizes the rate of time evolution. This phenomenon called critical slowing down leads to universal behaviour and scaling laws for time-dependent quantities.

Keywords:   classical statistical systems, critical slowing down, relaxation rates

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