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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

Quantum Field Theory and Critical Phenomena


Oxford University Press

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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