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# Questions tagged [stochastic-processes]

A stochastic process is a random process evolving with time , i.e., a time sequence representing the evolution of some system represented by a variable whose change is subject to a random variation.

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### Transition rate of two level system subjected to noise

(this question is simpler than its length implies. I did this on purpose to provide a nice complete development for future readers) The setup Suppose we have a two-level quantum system with ...
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### Langevin equation with hydrodynamic interaction

We know Langevin equation in the presence of an external applied force is given by, $$m\frac{dv(t)}{dt} = -\gamma v(t) + \eta(t) + \vec{F}$$ where $\eta(t)$ is delta correlated stationary white ...
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### Can Fokker-Planck operator be turned into a hermitian operator?

We know that Fokker-Planck equation can be written as(with proper boundary and initial condition) $$\frac{\partial p(v,t)}{\partial t} = Lp(v,t)$$ where $L$ is known as the Fokker-Planck operator ...
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