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Constrained Dynamics and Directed Percolation

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arxiv 2206.07724 v2 pith:ZELIMJ3Y submitted 2022-06-15 cond-mat.stat-mech nlin.CDnlin.CG

Constrained Dynamics and Directed Percolation

Aydin Deger , Achilleas Lazarides , Sthitadhi Roy This is my paper
classification cond-mat.stat-mech nlin.CDnlin.CG
keywords directeddynamicspercolationphasetransitionanalysesarrestchaos
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In a recent work [A. Deger et al., Phys. Rev. Lett. 129, 160601 (2022)] we have shown that kinetic constraints can completely arrest many-body chaos in the dynamics of a classical, deterministic, translationally-invariant spin system with the strength of the constraint driving a dynamical phase transition. Using extensive numerical simulations and scaling analyses we demonstrate here that this constraint-induced phase transition lies in the directed percolation universality class in both one and two spatial dimensions.

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