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Acta Physica Sinica

QUAS1-THERMODYNAMIC MODEL OF THE DISSIPATIVE SYSTEMS AND ITS APPLICATION TO PHASE TRANSITIONS IN OPTICAL BISTABILITY

Fa Ou, 华南理工大学应用物理系,广州510641

Published Jan 1, 1992• 1 citation
Publisher

Abstract

Taking the optical system as a prototype, this paper demonstrates that a quasi-thermodynamic model for dissipative systems, satisfying the principle of detailed balance, may be developed, which is parallel to the traditional thermodynamics. The present systems are described by the generalized dynamical equation of nonlinear optical cavities, introduced in previous work of Ou Fa et al. In view of the quasi-thermodynamic model, the critical phenomena and phase transitions in optical bistability are discussed systematically and generally. By taking the advantage of Ginzburg-Landau's model, the fluctuations and correlations near the (second kind of) critical point of optical bistability are studied also. So the Landau's theory of phase transitions in equilibrium thermodynamics is generalized to the bistable dissipative systems far from equilibrium.

DOI
10.7498/aps.41.1222

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Taking the optical system as a prototype, this paper demonstrates that a quasi-thermodynamic model for dissipative systems, satisfying the principle of detailed balance, may be developed, which is parallel to the traditional thermodynamics. The present systems are described by the generalized dynamical equation of nonlinear optical cavities, introduced in previous work of Ou Fa et al. In view of the quasi-thermodynamic model, the critical phenomena and phase transitions in optical bistability are discussed systematically and generally. By taking the advantage of Ginzburg-Landau's model, the fluctuations and correlations near the (second kind of) critical point of optical bistability are studied also. So the Landau's theory of phase transitions in equilibrium thermodynamics is generalized to the bistable dissipative systems far from equilibrium.
We present herein a phenomenological approach to the critical phenomena in the dissipative systems, including the optical bistable system, the laser, etc., which satisfies the principle of detailed balance. The substantial discussion is started from the standpoint that there are two kinds of critical points: stable and unstable, associated with the continuous and discontinuous transitions, respectively. In several senses this work would be a development of Landau's second order phase transition theory in equilibrium thermodynamics.
It is demonstrated that the mean field (Landau) theory of critical phenomena (including the two kinds of critical point) and transitions can also be applied to the increasing absorption optical bistubility (IAOB), far from equilibrium. On the basis of analysing the dynamical fea Lures of the IAOB model proposed recently[9], the socalled quasi-thermodynamic potential is introduced. This potential, near the critical point (of the second kind), reflects not only the general properties of phase transitions in bistable systems, but also the specific characteristics of the IAOB.