Integrability breaking in the Rule 54 cellular automaton

Javier Lopez-Piqueres, Sarang Gopalakrishnan, Romain Vasseur

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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.

Original languageEnglish (US)
Article number234005
JournalJournal of Physics A: Mathematical and Theoretical
Issue number23
StatePublished - Jun 10 2022
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy


  • cellular automata
  • hydrodynamics
  • integrability breaking


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