Convergence to equilibrium in a system of reacting polymers
Convergence to equilibrium in a system of reacting polymers
复制标题
聚合物反应体系收敛至平衡
DOI：
10.1007/bf01197880
复制
发表时间：
1979
影响因子：
2.4
通讯作者：
T. A. Bak
中科院分区：
文献类型：
--
作者：
M. Aizenman;T. A. Bak
聚合物反应体系的化学动力学由与玻尔兹曼方程共享某些性质的方程建模。然而，由于更易处理，这种演变可能对后者具有说明价值。分析了解的存在性和唯一性。我们推导出一个熵产生不等式，用来证明自由能的全局指数衰减。在它的帮助下，强收敛到平衡点的一致速度被证明。在平衡点附近的线性化流的生成元被对角化。
Chemical kinetics of a system of reacting polymers is modelled by an equation which shares certain properties with Boltzmann's equation. Being more tractable, however, this evolution may be of an illustrative value for the latter. The existence and uniqueness of solutions are analysed. We derive an entropy production inequality which is used to prove global exponential decay of the free energy. With its aid a uniform rate for strong convergence to equilibrium is proven. The generators of the linearlized flow at the vicinity of the equilibria are diagonalized.