Dissipative dynamics of a harmonic oscillator: a nonperturbative approach.
Dissipative dynamics of a harmonic oscillator: a nonperturbative approach.
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DOI：
10.1103/physreve.80.031130
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发表时间：
2009-03
期刊：
影响因子：
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通讯作者：
Jishad Kumar;S. Sinha;P. Sreeram
中科院分区：
文献类型：
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作者：
Jishad Kumar;S. Sinha;P. Sreeram
本文从微观理论出发，导出了谐振子与一组无相互作用振子耦合的主方程。我们遵循一个非微扰的方法，提出了我们以前的自由布朗粒子。的扩散常数的解析计算和积极的主方程被示为保持在临界温度以上。我们比较了已知的热力学结果的平均动能和势能的长时间行为。在系统振子频率为零的极限下，我们恢复了自由布朗粒子的结果。
Starting from a microscopic theory, we derive a master equation for a harmonic oscillator coupled to a bath of noninteracting oscillators. We follow a nonperturbative approach, proposed earlier by us for the free Brownian particle. The diffusion constants are calculated analytically and the positivity of the master equation is shown to hold above a critical temperature. We compare the long time behavior of the average kinetic and potential energies with known thermodynamic results. In the limit of vanishing oscillator frequency of the system, we recover the results of the free Brownian particle.