4.7 Article

Dynamics and large deviation transitions of the XOR-Fredrickson-Andersen kinetically constrained model

期刊

PHYSICAL REVIEW E
卷 102, 期 5, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.102.052132

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资金

  1. EPSRC [EP/R04421X/1]
  2. Leverhulme Trust [RPG-2018-181]
  3. DFG [SPP 1929]
  4. Wissenschaftler-Ruckkehrprogramm GSO/CZS of the Carl-Zeiss-Stiftung
  5. German Scholars Organization e.V
  6. Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy [EXC-2111-390814868]
  7. EPSRC [EP/R04421X/1] Funding Source: UKRI

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We study a one-dimensional classical stochastic kinetically constrained model (KCM) inspired by Rydberg atoms in their facilitated regime, where sites can flip only if a single of their nearest neighbors is excited. We call this model XOR-FA to distinguish it from the standard Fredrickson-Andersen (FA) model. We describe the dynamics of the XOR-FA model, including its relation to simple exclusion processes in its domain wall representation. The interesting relaxation dynamics of the XOR-FA is related to the prominence of large dynamical fluctuations that lead to phase transitions between active and inactive dynamical phases as in other KCMs. By means of numerical tensor network methods we study in detail such transitions in the dynamical large deviation regime.

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