P. L. Krapivsky, Baruch Meerson, Pavel V. Sasorov
What is the probability that, starting from an initially homogeneous gas, a macroscopic void will spontaneously arise at a specified time? We address this question for diffusive lattice gases, and also determine the most probable path leading to the void formation. We employ the macroscopic fluctuation theory by Bertini et al. and consider both annealed and quenched averaging procedures (the initial condition is allowed to fluctuate in the annealed setting). We evaluate the void formation probability analytically for non-interacting random walkers and probe it numerically for the simple symmetric exclusion process. We also re-derive our main results for random walkers from an exact microscopic analysis.
View original:
http://arxiv.org/abs/1210.1202
No comments:
Post a Comment