مشخصات پژوهش

صفحه نخست /Effective stochastic ...
عنوان Effective stochastic generator with site-dependent interactions
نوع پژوهش مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها effective dynamics, large deviations, rare events, stochstic processes, markov chain
چکیده It is known that the stochastic generators of effective processes associated with the unconditioned dynamics of rare events might consist of non-local interactions; however, it can be shown that there are special cases for which these generators can include local interactions. In this paper, we investigate this possibility by considering systems of classical particles moving on a one-dimensional lattice with open boundaries. The particles might have hard-core interactions similar to the particles in an exclusion process, or there can be many arbitrary particles at a single site in a zero-range process. Assuming that the interactions in the original process are local and site-independent, we will show that under certain constraints on the microscopic reaction rules, the stochastic generator of an unconditioned process can be local but site-dependent. As two examples, the asymmetric zero-temperature Glauber model and the A-model with diffusion are presented and studied under the above-mentioned constraints.
پژوهشگران معصومه خامه چی (نفر اول)، فرهاد جعفرپور همدانی (نفر دوم)