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Ising model with non-reciprocal interactions

2024/03/11 by Agney K. Rajeev, Anil Kumar, Rajeev, Agney K. +1 · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Biological Physics (physics.bio-ph) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Opinion Dynamics and Social Influence #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2403.06875

openalex publication_date 2024/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Effective interactions that violate Newton's third law of action-reaction symmetry are common in systems where interactions are mediated by a non-equilibrium environment. Extensive Monte Carlo simulations are carried out on a two-dimensional Ising model, where the interactions are modified non-reciprocally. We demonstrate that the critical temperature decreases as the non-reciprocity increases and this decrease depends only on the magnitude of non-reciprocity. Further, travelling spin waves due to the local fluctuations in magnetisation are observed and these spin waves travel opposite to the non-reciprocity vector.

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