论文标题
随机Becker-Döring模型的准平台分布和亚稳定性
Quasi-stationary distribution and metastability for the stochastic Becker-Döring model
论文作者
论文摘要
我们研究了经典的贝克 - döring模型的随机版本，这是一个众所周知的聚类形成动力学模型，可以预测在发生热力学不利的成核之前长期存在的亚稳态的存在，从而导致相位过渡现象。与确定性的微分方程相比，这种连续的马尔可夫链模型几乎没有受到关注。我们表明，由于尚未发生有条件的核定过程，随机配方可导致随机成核事件的精确和定量描述。
We study a stochastic version of the classical Becker-Döring model, a well-known kinetic model for cluster formation that predicts the existence of a long-lived metastable state before a thermodynamically unfavorable nucleation occurs, leading to a phase transition phenomena. This continuous-time Markov chain model has received little attention, compared to its deterministic differential equations counterpart. We show that the stochastic formulation leads to a precise and quantitative description of stochastic nucleation events thanks to an exponentially ergodic quasi-stationary distribution for the process conditionally on nucleation has not yet occurred.
