Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 55, Issue 23, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1751-8121/ac6b66
Keywords
integrability breaking; cellular automata; hydrodynamics
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Funding
- National Science Foundation under NSF [DMR-1653271]
- US Department of Energy, Office of Science, Basic Energy Sciences, under Early Career Award [DE-SC0019168]
- Alfred P Sloan Foundation through a Sloan Research Fellowship
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This paper investigates the onset of thermalization and diffusive hydrodynamics in the Rule 54 model, computes the diffusion constant of tracer particles perturbatively, and discusses its relation to transport coefficients.
Cellular automata have recently attracted a lot of attention as testbeds to explore the emergence of many-body quantum chaos and hydrodynamics. We consider the Rule 54 model, one of the simplest interacting integrable models featuring two species of quasiparticles (solitons), in the presence of an integrability-breaking perturbation that allows solitons to backscatter. We study the onset of thermalization and diffusive hydrodynamics in this model, compute perturbatively the diffusion constant of tracer particles, and comment on its relation to transport coefficients.
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