Nonlinear relaxation near the critical point: Molecular-field and scaling theory

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We examine the critical-point singularity of the nonlinear relaxation of purely dissipative systems. Applying the molecular-field approximation to the time-dependent Ginzburg-Landau model, it is shown that the critical exponent of the nonlinear relaxation time ((nl)) can be different from that of the linear one ((l)) even in ergodic systems. From the assumptions that scaling applies and that only the near-equilibrium fluctuations significantly affect the relaxation time, a scaling law (nl)=(l)- is derived (is the critical exponent of the order). On the base of this scaling law we reanalyze the available Monte Carlo calculations, high-temperature series, and the critical-slowing-down experiment on Ni3Mn.

Original languageEnglish
Pages (from-to)263-270
Number of pages8
JournalPhysical Review B
Issue number1
Publication statusPublished - Jan 1 1976


ASJC Scopus subject areas

  • Condensed Matter Physics

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