Relaxation and transition in general Huberman-Kerszberg models: a recursive variational method

Kumari, Kamlesh ; Deepak Kumar, (1988) Relaxation and transition in general Huberman-Kerszberg models: a recursive variational method Physical Review B, 38 (16). pp. 11774-11780. ISSN 0163-1829

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Official URL: http://prb.aps.org/abstract/PRB/v38/i16/p11774_1

Related URL: http://dx.doi.org/10.1103/PhysRevB.38.11774

Abstract

Relaxation and the dynamical transition in Huberman-Kerszberg-type models with arbitrary branching number σ and arbitrary dimension d are studied. A recursive variational method is employed to obtain the spectrum of relaxation modes. The exponent of the power-law relaxation, which occurs at low temperatures, is obtained for general σ and d. The dynamic transition is obtained by showing that the distribution of low-lying relaxation eigenvalues becomes identical to that of a homogeneous system above a critical temperature.

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ID Code:9892
Deposited On:02 Nov 2010 10:32
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