Quantum analysis and thermodynamic operator relations in stochastic energetics

[摘要] We introduce a model of the quantum Brownian motion coupled to a classical neat bath by using the operator differential proposed in the quantum analysis. We then define the heat operator by adapting the idea of the stochastic energetics. The introduced operator satisfies the relations which are analogous to the first and second laws of thermodynamics.

[发布机构] Instituto de Física, Universidade Federal Do Rio de Janeiro, C.P. 68528, Rio de Janeiro; 21941-972, Brazil^1

[效力级别] 力学 [学科分类] 力学，机械学

[关键词] Quantum analysis;Quantum Brownian motions;Second laws of thermodynamics;Stochastic energetics