Stochastic Eight-Vertex Model, its Invariant Measures and KPZ Limit

Stochastic Eight-Vertex Model, its Invariant Measures and KPZ Limit
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随机八顶点模型、其不变测度和KPZ极限

DOI:
10.1007/s10955-021-02789-z
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发表时间:
2021
影响因子:
1.6
通讯作者:
Suda Hayate
Suda Hayate
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Funaki Tadahisa;Nishijima Yuto;Suda Hayate

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We introduce a stochastic eight-vertex model motivated by the eight-vertex model in statistical mechanics. We study its invariant measures under a certain balance condition for the creation and annihilation probabilities of particles. We also discuss its scaling limits, that is, the hydrodynamic limit, and the linear and nonlinear fluctuations rather formally. We especially obtain a new type of KPZ-Burgers equation in the nonlinear limit.
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