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Ageing phenomena without detailed balance: the contact process

Tilman Enss1, Malte Henkel2, Alan Picone2 and Ulrich Schollwöck3

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The long-time dynamics of the 1D contact process suddenly brought out of an uncorrelated initial state is studied through a light-cone transfer-matrix renormalization group approach. At criticality, the system undergoes ageing which is characterized through the dynamical scaling of the two-times autocorrelation and autoresponse functions. The observed non-equality of the ageing exponents a and b excludes the possibility of a finite fluctuation–dissipation ratio in the ageing regime. The scaling form of the critical autoresponse function is in agreement with the prediction of local scale invariance.


PACS

05.70.Ln Nonequilibrium and irreversible thermodynamics

64.60.A- Specific approaches applied to studies of phase transitions

81.40.Cd Solid solution hardening, precipitation hardening, and dispersion hardening; aging

64.60.Ht Dynamic critical phenomena

02.60.Dc Numerical linear algebra

MSC

82B30 Statistical thermodynamics (See also 80-XX)

Subjects

Computational physics

Condensed matter: structural, mechanical & thermal

Statistical physics and nonlinear systems

Dates

Issue 44 (5 November 2004)

Received 4 June 2004

Published 20 October 2004



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