مشخصات پژوهش

صفحه نخست /Effective stochastic ...
عنوان Effective stochastic generators for conditioned dynamics at an atypical reaction-diffusion current
نوع پژوهش مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها reaction- diffusion -stochastic -process -effective dynamics markov chain-atypical current
چکیده We consider the fluctuations of a time-integrated particle current around an atypical value in a generic stochastic Markov process involving classical particles with two-site interaction and hard-core repulsion on a finite one-dimensional lattice with open boundaries. We address the question of which interactions one has to impose on such a process to make the atypical value of the current typical. It is known that a corresponding effective stochastic Markov process might exist whose typical current value is equal to the atypical current value in the original process within a time-translational invariant regime. This effective process has, in principle, nonlocal transition rates. Nevertheless, it turns out that under some conditions, the stochastic generator of the effective process has the same dynamical rules as the stochastic generator of the original process. We find these conditions and show that our approach can be generalized to any time-integrated observable.
پژوهشگران فرهاد جعفرپور همدانی (نفر اول)، پگاه ترکمان (نفر دوم)