Exploiting Tsallis Statistics
Two incarnations of the canonical ensemble probability distribution based on the generalization of statistical mechanics of Tsallis are described. A generalization of the law of mass action is used to derive equilibrium constants. Reaction rate constants for barrier crossing are derived using the transition state theory approximation. Monte Carlo and Molecular Dynamics algorithms which can be used to sample Tsallis statistical distributions are defined. The results are used to demonstrate that MC and MD algorithms which sample the Tsallis statistical distributions can be expected to enhance the rate of phase space sampling in simulations of many body systems.
KeywordsPhase Space Canonical Ensemble Monte Carlo Algorithm Acceptance Probability Transition State Theory
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