Quantum dissipative Brownian motion and the Casimir effect - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2009

Quantum dissipative Brownian motion and the Casimir effect

Résumé

We explore an analogy between the thermodynamics of a free dissipative quantum particle and that of an electromagnetic field between two mirrors of finite conductivity. While a free particle isolated from its environment will effectively be in the high-temperature limit for any nonvanishing temperature, a finite coupling to the environment leads to quantum effects ensuring the correct low-temperature behavior. Even then, it is found that under appropriate circumstances the entropy can be a nonmonotonic function of the temperature. Such a scenario with its specific dependence on the ratio of temperature and damping constant also appears for the transverse electric mode in the Casimir effect. The limits of vanishing dissipation for the quantum particle and of infinite conductivity of the mirrors in the Casimir effect both turn out to be noncontinuous.

Dates et versions

hal-00387380 , version 1 (25-05-2009)

Identifiants

Citer

Gert-Ludwig Ingold, Astrid Lambrecht, Serge Reynaud. Quantum dissipative Brownian motion and the Casimir effect. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2009, 80, pp.041113. ⟨10.1103/PhysRevE.80.041113⟩. ⟨hal-00387380⟩
55 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More