噪声均值和扰动的牛顿第三定律
Third Newton Law in the Mean and Perturbations of Noise
摘要:
在Smoluchowski近似下分析了粒子系综的等温布朗运动。与标准程序相反,与局部诱导热流相关的环境反冲效应并未完全忽略。研究这种弱平衡系统的主要技术工具是对Hamilton-Jacobi方程的后续利用。第三牛顿定律的意思是用来产生扩散型的过程,这是异常的(增强),或一般非色散。
英文摘要:
We analyze an isothermal Brownian motion of particle ensembles in the Smoluchowski approximation. Contrary to standard procedures, the environmental recoil effects associated with locally induced heat flows are not completely disregarded. The main technical tool in the study of such weakly-out-of equilibrium systems is a consequent exploitation of the Hamilton-Jacobi equation. The third Newton law in the mean is utilised to generate diffusion-type processes which are either anomalous (enhanced), or generically non-dispersive.
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