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摘要翻译：
我们研究了在含时磁场中被囚禁的带电布朗粒子的动力学。我们计算了不同时间相关协议的工作分布。在我们的问题中，热力学功与矢量势随时间的变化有关，而不是以前的研究中，热力学功与势随时间的变化有关，后者只依赖于粒子的坐标。利用Jarzynski恒等式和Crook等式证明了粒子的自由能与磁场无关，从而补充了玻尔-范-列文定理。我们还证明了我们的系统在一定的参数空间中表现出参数共振。
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英文标题：
《Nonequilibrium Work distributions for a trapped Brownian particle in a
time dependent magnetic field》
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作者：
Arnab Saha and A. M. Jayannavar
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We study the dynamics of a trapped, charged Brownian particle in presence of a time dependent magnetic field. We calculate work distributions for different time dependent protocols. In our problem thermodynamic work is related to variation of vector potential with time as opposed to the earlier studies where the work is related to time variation of the potentials which depends only on the coordinates of the particle. Using Jarzynski identity and Crook's equality we show that the free energy of the particle is independent of the magnetic field, thus complementing the Bohr-van Leeuwen theorem. We also show that our system exhibits a parametric resonance in certain parameter space.
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PDF链接：
https://arxiv.org/pdf/707.2131
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