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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | https://arxiv.org/abs/2603.27256 |
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| _version_ | 1866915897143197696 |
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| author | Dumer, R. A. Godoy, M. Mendes, J. F. F. |
| author_facet | Dumer, R. A. Godoy, M. Mendes, J. F. F. |
| contents | We introduce a rejection-free continuous-time kinetic Monte Carlo framework to study stochastic systems governed by multiple concurrent dynamical mechanisms. In this approach, the relative activity of each dynamical channel emerges self-consistently from the instantaneous configuration through its transition rates. As an illustration, we investigate a driven antiferromagnetic Ising model on a square lattice combining conservative Katz-Lebowitz-Spohn exchanges and nonconserving Glauber single-spin flips. We show that the coexistence of these dynamics qualitatively reshapes the nonequilibrium phase diagram in the temperature-field plane, stabilizing antiferromagnetic order in regions where the driving field would otherwise destroy it. Near the zero-temperature limit, the phase boundary follows a power-law scaling $T\sim|E-E_c|$ with an exponent close to unity. At intermediate temperatures, the transition belongs to the two-dimensional Ising universality class, while at low temperatures it remains continuous, with the order-parameter exponent approaching zero. Our results demonstrate that allowing competing dynamical channels to coevolve with the system can fundamentally alter its critical properties, revealing collective behavior hidden in single-dynamics descriptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27256 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Emergent Competition Between Dynamical Channels in Nonequilibrium Systems Dumer, R. A. Godoy, M. Mendes, J. F. F. Statistical Mechanics 82M31 I.6.6 We introduce a rejection-free continuous-time kinetic Monte Carlo framework to study stochastic systems governed by multiple concurrent dynamical mechanisms. In this approach, the relative activity of each dynamical channel emerges self-consistently from the instantaneous configuration through its transition rates. As an illustration, we investigate a driven antiferromagnetic Ising model on a square lattice combining conservative Katz-Lebowitz-Spohn exchanges and nonconserving Glauber single-spin flips. We show that the coexistence of these dynamics qualitatively reshapes the nonequilibrium phase diagram in the temperature-field plane, stabilizing antiferromagnetic order in regions where the driving field would otherwise destroy it. Near the zero-temperature limit, the phase boundary follows a power-law scaling $T\sim|E-E_c|$ with an exponent close to unity. At intermediate temperatures, the transition belongs to the two-dimensional Ising universality class, while at low temperatures it remains continuous, with the order-parameter exponent approaching zero. Our results demonstrate that allowing competing dynamical channels to coevolve with the system can fundamentally alter its critical properties, revealing collective behavior hidden in single-dynamics descriptions. |
| title | Emergent Competition Between Dynamical Channels in Nonequilibrium Systems |
| topic | Statistical Mechanics 82M31 I.6.6 |
| url | https://arxiv.org/abs/2603.27256 |