Large deviation functions for an exactly solvable lattice gas model of diffusing particles on a ring, subject to pair annihilation and creation, are obtained analytically using exact free-fermion techniques. Our findings for the large deviation function for the current are compared to recent results of Appert-Rolland [Phys. Rev. EPLEEE81539-375510.1103/PhysRevE.78.021122 78, 021122 (2008)] for diffusive systems with conserved particle number. Unlike conservative dynamics, our nonconservative model has no universal finite-size corrections for the cumulants. However, the leading Gaussian part has the same variance as in the conservative case. We also elucidate some properties of the large deviation functions associated with particle creation and annihilation.
Physical Review E
- Pub Date:
- August 2011
- Fluctuation phenomena random processes noise and Brownian motion;
- Markov processes;
- Statistical mechanics of model systems;
- Nonequilibrium and irreversible thermodynamics