• Corpus ID: 245769575

Equilibrium fluctuations for totally asymmetric interacting particle systems

@inproceedings{Hayashi2022EquilibriumFF,
  title={Equilibrium fluctuations for totally asymmetric interacting particle systems},
  author={K. Hayashi},
  year={2022}
}
Abstract. We study equilibrium fluctuations for a class of totally asymmetric zero-range type interacting particle systems. As a main result, we show that density fluctuation of our process converges to the stationary energy solution of the stochastic Burgers equation. As a special case, microscopic system we consider here is related to q-totally asymmetric simple exclusion processes (q-TASEPs) and our scaling limit corresponds to letting the quantum parameter q to be one. 
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