粒子的相互作用场和某些推广的非平衡统计模型

Interaction-Fields and Some Extensive Models of Nonequilibrium Statistics on Particles

基于非平衡统计中的Schl gl模型、Lotka Volterra模型和Brusselator模型 ,由于它们都可以化为反应-扩散方程 ,在数学形式上与量子力学方程具有相似性 .因此这些模型及其推广能够应用于具有相互作用的粒子场 .由此可以得到一些数学结果 ,并探讨了其中包含的物理意义 .

The bases are the Schlgl model,the Lotka Volterra model and the Brusselator model in nonequilibrium statistics.Since the equations of these models can become the reaction diffusion equation,whose mathematical form is analogous to the equation of quantum mechanics.Therefore,these models and their extensions may be applied to the interaction fields on particles.Further,some mathematical results are derived,and their physical meanings are researched.