Cellular Automata and Lattice Gases

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Replacement submissions (showing 2 of 2 entries)

[1] arXiv:2406.01865 (replaced) [pdf, html, other]

Title: The influence of active agent motility on SIRS epidemiological dynamics

R. Kailasham, Aditya S. Khair

Comments: 26 pages, 20 figures

Subjects: Soft Condensed Matter (cond-mat.soft); Cellular Automata and Lattice Gases (nlin.CG); Physics and Society (physics.soc-ph)

Active Brownian disks moving in two dimensions that exchange information about their internal state stochastically are chosen to model epidemic spread in a self-propelled population of agents under the susceptible-infected-recovered-susceptible (SIRS) framework. The state of infection of an agent, or disk, governs its self-propulsion speed; consequently, the activity of the agents in the system varies in time. Two different protocols (one-to-one and one-to-many) are considered for the transmission of disease from the infected to susceptible populations. The effectiveness of the two protocols are practically identical at high values of the infection transmission rate. The one-to-many protocol, however, outperforms the one-to-one protocol at lower values of the infection transmission rate. Salient features of the macroscopic SIRS model are revisited, and compared to predictions from the agent-based model. Lastly, the motility induced phase separation in a population of such agents with a fluctuating fraction of active disks is found to be well-described by theories governing phase separation in a mixture of active and passive particles with a constant fraction of passive disks.

[2] arXiv:2407.21793 (replaced) [pdf, other]

Title: Non-equilibrium dynamics of symmetry-resolved entanglement and entanglement asymmetry: Exact asymptotics in Rule 54

Katja Klobas

Comments: 21 pages, 2 figures; Submitted to the special issue of Journal of Physics A: Mathematical and Theoretical, "Quantum-Circuit Models for Many-Body Physics Out of Equilibrium"; v2 accepted version

Subjects: Statistical Mechanics (cond-mat.stat-mech); Cellular Automata and Lattice Gases (nlin.CG); Exactly Solvable and Integrable Systems (nlin.SI); Quantum Physics (quant-ph)

Symmetry resolved entanglement and entanglement asymmetry are two measures of quantum correlations sensitive to symmetries of the system. Here we discuss their non-equilibrium dynamics in the Rule 54 cellular automaton, a simple, yet interacting, integrable model. Both quantities can be expressed in terms of the more analytically tractable "charged moments", i.e. traces of powers of a suitably deformed density matrix, via a replica trick. We express them in terms of a tensor network, which we contract in space using a system of local algebraic relations. This gives the asymptotic form for the charged moments, valid in the regime of large but finite time that is shorter than all the relevant subsystem sizes. In this regime the charge moments decay exponentially with the rate given by the leading solution to a cubic equation.