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Dynamical gauge theory for the XY gauge glass model

Yukiyasu Ozeki

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Dynamical systems of gauge glass are investigated by the method of gauge transformation. Both stochastic and deterministic dynamics are treated. Several exact relations are derived from dynamical quantities such as equilibrium and nonequilibrium auto-correlation functions, relaxation functions of order parameter and internal energy. They provide physical properties in terms of dynamics in the SG phase, a possible mixed phase and the Griffiths phase, the multicritical dynamics and the aging phenomenon. We also have a plausible argument for the absence of re-entrant transition in two or higher dimensions.


PACS

75.10.Nr Spin-glass and other random models

75.50.Lk Spin glasses and other random magnets

75.40.Gb Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.)

64.60.Ht Dynamic critical phenomena

64.60.Kw Multicritical points

05.10.Gg Stochastic analysis methods (Fokker-Planck, Langevin, etc.)

MSC

82D30 Random media, disordered materials (including liquid crystals and spin glasses)

62M10 Time series, auto-correlation, regression, etc. (See also 91B84)

82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) (See also 60H10)

82D40 Magnetic materials

82C27 Dynamic critical phenomena

70S15 Yang-Mills and other gauge theories

Subjects

Computational physics

Condensed matter: electrical, magnetic and optical

Condensed matter: structural, mechanical & thermal

Statistical physics and nonlinear systems

Dates

Issue 11 (21 March 2003)

Received 6 January 2003

Published 6 March 2003



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