在物理和化学及相关领域，主方程（Master equation）被用来描述特定的系统。这种系统可以被建模成在任何时间下都处于多个态的概率叠加状态，并且态之间的切换由转换概率矩 …

Markovian, Non Markovian process and Master equation Janhavi Golatkar November 22nd 2021 Abstract A Markov process is a stochastic process Y n in which a future state Y i+1 is only …

我们只考虑仅有短程记忆的过程– 马尔科夫过程(Markov process),该过程的时间演化方程就是主方程。 主方程是统计物理里最重要的方程之一,它几乎是普遍适用的,并广泛地被应用于化学,生物 …

2024年3月15日 · We consider the non-Markovian time-convolutionless master equation up to the second (Redfield) and fourth orders as well as three types of Markovian master equations: the …

the general Lindblad form of the master equation in the Born–Markov approximation. 首先是结论： 以下是推导： 系统(system)哈密顿量为 H_S ，环境（reservoir）哈密顿量为 H_R ，系统和 …

2019年8月6日 · Quantum systems coupled to environments exhibit intricate dynamics. The master equation gives a Markov approximation of the dynamics, allowing for analytic and …

马尔可夫过程（Markov process）是一类随机过程。 它的原始模型马尔可夫链，由俄国数学家A.A.马尔可夫于1907年提出。 马尔可夫过程是研究离散事件动态系统状态空间的重要方法， …

Two par-ticularly well-known and useful equations for the Markov processes, the master equation and the Fokker-Planck equations are derived and solved for a wide class of examples. Their …

2018年10月20日 · One of the mathematically simplest master equations is for a Markov process called the dichotomic process, or telegraphic process. This process can assume two values …

a) The velocity is a Markov process that can be described with a Markov chain! Consider first only the x-component of the velocity. Define for the three possible states {−1,0,1} the …