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Random systems described with stochastic velocities

机译：描述随机速度的随机系统

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Kinematics of stochastic mechanics is used to study diffusion problems at a more general level, without forcing a link to Newtonian mechanics. Stochastic velocities are taken from Nelson's kinematics to study nonlinear random systems. Random effects are systematically separated from the deterministic motion via a transformation to fluctuation variables. Then, closed expressions for stochastic velocities are written, and as a consequence, analytical applications can be developed. A system is studied to show the difference between detailed and nondetailed balance. Besides, a one-dimensional problem is considered to characterize the relaxation process. The concept of entropy is introduced to find an expression describing stationary processes, so that one has two kind of tools to study this type of problems. The final result is that a few simple techniques are put together to describe a wide amount of phenomena. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 16]
机译：随机力学运动学用于更广泛地研究扩散问题，而不必强迫与牛顿力学的联系。随机速度取自尼尔森的运动学，用于研究非线性随机系统。通过对波动变量的转换，随机效应与确定性运动有系统地分离。然后，编写用于随机速度的闭合表达式，从而可以开发分析应用程序。研究了一个系统以显示明细余额和非明细余额之间的差异。此外，考虑了一维问题来表征松弛过程。引入熵的概念是为了找到描述平稳过程的表达式，因此人们有两种工具可以研究这类问题。最终结果是将一些简单的技术组合在一起来描述大量现象。 （C）2002 Elsevier Science B.V.保留所有权利。 [参考：16]

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