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Particle-current fluctuations in a variant of the asymmetric Glauber model
S R Masharian1, P Torkaman2, F H Jafarpour2
1Department of Physics, College of Science, Hamedan Branch, Islamic Azad University, Hamedan, Iran.
Abstract:
We study the total particle-current fluctuations in a one-dimensional stochastic system of classical particles consisting of branching and death processes which is a variant of asymmetric zero-temperature Glauber dynamics. The full spectrum of a modified Hamiltonian, whose minimum eigenvalue generates the large deviation function for the total particle-current fluctuations through a Legendre-Fenchel transformation, is obtained analytically. Three examples are presented and numerically exact results are compared to our analytical calculations.
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