On the regularity of many-particle dynamical systems perturbed by white noise
On the regularity of many-particle dynamical systems perturbed by white noise
复制标题
白噪声扰动的多粒子动力系统的规律性
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
A. Skorokhod
中科院分区：
文献类型：
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作者：
A. Skorokhod
我们考虑了在相互作用下在R D中移动的有限粒子系统的系统。假定颗粒会受到一些额外的随机力，从而导致颗粒的扩散运动。后者是由非内膜颗粒一阶的随机微分方程和惯性颗粒的第二阶描述的。系统的系数是无限的，因为如果两个粒子之间的距离趋于零，则相互作用力倾向于无穷大。如果没有粒子可以击中另一个，则将系统称为常规。我们研究规律的条件。本文致力于Roland L. Dobrushin的记忆。
We consider a system of finite number of particles that are moving in R d under mutual interaction. It is assumed that the particles are subjected to some additional random forces which cause diffusion motion of the particles. The latter is described by a system of stochastic differential equations of the first order for noninertia particles and the second order for inertial particles. The coefficient of the system are unbounded because the interaction force tends to infinity if the distance between two particles tends to zero. The system is called regular if no particle can hit the other. We investigate conditions of regularity. This article is dedicated to the memory of Roland L. Dobrushin.