Manifestações do caos no modelo do Maser de Dicke

AUTOR(ES)
DATA DE PUBLICAÇÃO

1995

RESUMO

We study the effects of nonintegrability in the Dicke Maser Model by observing the modifications in the patterns of distribution of expectation values in the energy eigenstates of some selected operators plotted against energy eigenvalues. The semiclassical density of states and the mean values of observables in the microcanonical ensemble are obtained and compared with the quantum plots with a very good agreement for both regular and chaotic case. Analysis of fluctuations around the semiclassical mean values are made by means of classical Poincaré sections, and evidences of its connections with the behaviour of the classical periodic orbits and their stabilities are shown. We have also calculated, in the mean field approximation, the quantities like the specific heat of the model as a function of the temperature. Such a function displays a discontinuity at the superradiant transition temperature Tc for large enough interaction, and the fact that this result is not sensitive to the presence of chaos. The fixed point analysis of the dynamics at finite temperature is done for regular and chaotic cases and their stability conditions are discussed

ASSUNTO(S)

termodinamica estatistica comportamento caotico em sistemas

ACESSO AO ARTIGO

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