Space-time phase transitions in the East model with a softened kinetic constraint

2012/10/04 by Yael S. Elmatad, Robert L. Jack
Materials Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical mechanics #Computer science #Constraint (computer-aided design) #Geometry #Kinetic energy #Line (geometry) #Material Dynamics and Properties #Mathematics #Mechanics #Phase (matter) #Phase space #Phase transition #Physics #Point (geometry) #Quantum mechanics #Space (punctuation) #State space #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech

paper · pdf · doi:10.1063/1.4779110

8 pages, 4 figures

arxiv created 2012/10/04 · openalex publication_date 2013/01/31 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The East model has a dynamical phase transition between an active (fluid) and inactive (glass) state. We show that this phase transition generalizes to "softened" systems where constraint violations are allowed with small but finite probabilities. Moreover, we show that the first order coexistence line separating the active and inactive phases terminates in a finite-temperature space-time critical point. Implications of these results for equilibrium dynamics are discussed.

Citations

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