耦合到随机恒温器的格点哈密顿动力学的大偏差
Large deviations of lattice Hamiltonian dynamics coupled to stochastic thermostats
摘要：
我们讨论了Donsker-Varadhan理论的大偏差的框架下的哈密顿系统恒温的高斯随机耦合。我们推导出一个一般公式的Donsker-Varadhan大偏差功能的动力学，满足自然性质下的时间反演。接下来，我们讨论了定态作为变分原理的解的特征及其与最小熵产生原理的关系。最后，我们计算了由高斯随机耦合恒温的谐波链的情况下的电流的大偏差泛函。
英文摘要：
We discuss the Donsker-Varadhan theory of large deviations in the framework of Hamiltonian systems thermostated by a Gaussian stochastic coupling. We derive a general formula for the Donsker-Varadhan large deviation functional for dynamics which satisfy natural properties under time reversal. Next, we discuss the characterization of the stationary state as the solution of a variational principle and its relation to the minimum entropy production principle. Finally, we compute the large deviation functional of the current in the case of a harmonic chain thermostated by a Gaussian stochastic coupling.
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。
