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arXiv 1003.4457cond-mat.stat-mech
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自由经典场Casimir型涨落诱导力的失平衡行为

The out of equilibrium behavior of Casimir type fluctuation induced forces for free classical fields

David S. Dean, Ajay Gopinathan

摘要:

本文给出了研究经典自由标量场理论中Casimir型涨落诱导力的非平衡行为的一般方法。特别是,我们分析的时间演变的力量向其平衡值时,场动力学是由一般类的过阻尼随机动力学(包括模型A和模型B类)。稳态力也分析了具有非平衡稳态的系统,例如,它们是由色噪声驱动的。该方法的关键是通过指定场与问题中的表面之间的相互作用能量来计算出平衡力。一般来说,我们发现有一个映射的动力学问题到一个相应的静态,并在后者可以解决的情况下,可以提取力的全部动力学行为。该方法用于计算Dirichlet、Neumann和混合边界条件下两平行板间由脉动场引起的非平衡Casimir力。各种其他的例子,如波动介质中的夹杂物之间的波动诱导力进行了讨论。

英文摘要:

We present a general method to study the non-equilibrium behavior of Casimir type fluctuation induced forces for classical free scalar field theories. In particular we analyze the temporal evolution of the force towards its equilibrium value when the field dynamics is given by a general class of over damped stochastic dynamics (including the model A and model B class). The steady state force is also analyzed for systems which have non-equilibrium steady states, for instance where they are driven by colored noise. The key to the method is that out of equilibrium force is computed by specifying an energy of interaction between the field and the surfaces in the problem. In general we find that there is a mapping of the dynamical problem onto a corresponding static one, and in the case where the latter can be solved the full dynamical behavior of the force can be extracted. The method is used how to compute the non-equilibrium Casimir force induced between two parallel plates by a fluctuating field, in the cases of Dirichlet, Neumann and mixed boundary conditions. Various other examples, such as the fluctuation induced force between inclusions in fluctuating media are discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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