We study the dynamical behavior of disordered many-particle systems with long-range Coulomb interactions by means of damage-spreading simulations. In this type of Monte Carlo simulation one investigates the time evolution of the damage, i.e., the difference of the occupation numbers of two systems, subjected to the same thermal noise. We analyze the dependence of the damage on temperature and disorder strength. For zero disorder the spreading transition coincides with the equilibrium phase transition, whereas for finite disorder we find evidence for a dynamical phase transition well below the transition temperature of the pure system.
T. Wappler et al., "Monte Carlo Simulations of the Dynamical Behavior of the Coulomb Glass," Physical Review B - Condensed Matter and Materials Physics, vol. 55, no. 10, pp. 6272-6277, American Physical Society (APS), Mar 1997.
The definitive version is available at https://doi.org/10.1103/PhysRevB.55.6272
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