# 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.

## 2 Citations

### Joint $q$-moments and shift invariance for the multi-species $q$-TAZRP on the infinite line

- Mathematics
- 2022

This paper presents a novel method for computing certain particle locations in the multi–species q – TAZRP (totally asymmetric zero range process). The method is based on a decomposition of the…

### Derivation of coupled KPZ equations from interacting diffusions driven by a single-site potential

- 2022

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