Crooks' fluctuation theorem for the fluctuating lattice-Boltzmann model

We probe the validity of Crooks' fluctuation relation on the fluctuating lattice-Boltzmann model (FLBM), a highly simplified lattice model for a thermal ideal gas. We drive the system between two thermodynamic equilibrium states and compute the distribution of the work performed. By comparing the distributions of the work performed during the forward driving and time reversed driving, we show that the system satisfies Crooks' relation. The results of the numerical experiment suggest that the temperature and the free energy of the system are well defined.