Particle current fluctuations in a variant of asymmetric Glauber model
  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. 
S. R. Masharian, P. Torkaman and F. H. Jafarpour
cond-mat.stat-mech