Particle current fluctuations in a variant of asymmetric Glauber model

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.

13 pages, 4 figures, accepted for publication in PRE (2014)

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• Rare-event trajectory ensemble approach to study dynamical phase transitions in the zero temperature Glauber model
• Effective Stochastic Generator with Site-dependent Interactions
• Effective dynamics in an asymmetric death-branching process
• Effective dynamics of a conditioned generalized linear Glauber model