期刊
PHYSICAL REVIEW RESEARCH
卷 3, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.3.013124
关键词
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资金
- Imperial-TUM flagship partnership
- European Research Council advanced grant QENOCOBA under the European Union [742102]
- Royal Society
The study investigates seasonal epidemic spreading on small-world graphs and identifies a classical discrete time crystal phase through mean-field theory and numerical analysis, showing that small worldness and non-Markovianity can stabilize such a phase. This research connects recent efforts in understanding dynamical phases of matter to the long-standing problem of biennial epidemics.
We study seasonal epidemic spreading in a susceptible-infected-removed-susceptible model on small-world graphs. We derive a mean-field description that accurately captures the salient features of the model, most notably a phase transition between annual and biennial outbreaks. A numerical scaling analysis exhibits a diverging autocorrelation time in the thermodynamic limit, which confirms the presence of a classical discrete time crystalline phase. We derive the phase diagram of the model both frommean-field theory and from numerics. Our paper demonstrates that small worldness and non-Markovianity can stabilize a classical discrete time crystal, and links recent efforts to understand such dynamical phases of matter to the century-old problem of biennial epidemics.
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