Counting translocations of strongly repelling particles through single channels: fluctuation theorem for membrane
Alexander M Berezhkovskii1, Sergey M Bezrukov
1Mathematical and Statistical Computing Laboratory, Division of Computational Bioscience, Center for Information Technology, National Institutes of Health, Bethesda, MD 20892, USA.
Abstract:
Transport of strongly repelling particles through a single membrane channel is analyzed assuming that the channel cannot be occupied by more than one particle. An exact solution is found for the Laplace transform of the probability P_{n}(t) that n particles have been transported in time t. This transform is used to find the flux through the channel and to show that P_{n}(t) and P_{-n}(t) are related by the fluctuation theorem. The solution is obtained using an observation that P_{n}(t) is the propagator for a non-Markovian random walk, which can be found by solving a set of integral equations.
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