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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…

Statistical Mechanics · Physics 2024-03-12 Agney K. Rajeev , A. V. Anil Kumar

Non-reciprocal interactions are a generic feature of non-equilibrium systems. We define a non-reciprocal generalization of the kinetic Ising model in one spatial dimension. We solve the model exactly using two different approaches for…

Statistical Mechanics · Physics 2025-04-02 Gabriel Artur Weiderpass , Mayur Sharma , Savdeep Sethi

We present a general framework for incorporating non-reciprocal interactions into the Ising model with Glauber dynamics, without requiring multiple species. We then focus on a model with vision-cone type interactions. We solve it in a fully…

Statistical Mechanics · Physics 2025-05-09 Adrià Garcés , Demian Levis

Systems with nonreciprocal interactions generically display time-dependent states. These are routinely observed in finite systems, from neuroscience to active matter, in which globally ordered oscillations exist. However, the stability of…

Statistical Mechanics · Physics 2025-04-01 Yael Avni , Michel Fruchart , David Martin , Daniel Seara , Vincenzo Vitelli

A wide range of non-equilibrium phenomena in nature involve non-reciprocal interactions. To understand the novel behaviors that can emerge in such systems, finding tractable models is essential. With this goal, we introduce a non-reciprocal…

Statistical Mechanics · Physics 2024-11-04 Gabriel Weiderpass , Mayur Sharma , Savdeep Sethi

We introduce a model of interacting lattices at different resolutions driven by the two-dimensional Ising dynamics with a nearest-neighbor interaction. We study this model both with tools borrowed from equilibrium statistical mechanics as…

Statistical Mechanics · Physics 2015-12-15 Davide Faranda , Martin Mihelich , Berengere Dubrulle

We study the critical behavior and the out-of-equilibrium dynamics of a two-dimensional Ising model with non-static interactions. In our model, bonds are dynamically changing according to a majority rule depending on the set of closest…

Statistical Mechanics · Physics 2014-12-10 Oscar A. Pinto , Federico Romá , Sebastian Bustingorry

Nonequilibrium wetting transitions are observed in Monte Carlo simulations of a kinetic spin system in the absence of a detailed balance condition with respect to an energy functional. A nonthermal model is proposed starting from a…

Statistical Mechanics · Physics 2015-05-27 Jef Hooyberghs , Joseph O. Indekeu

A generalization of the compressible Ising model in which spins are hosted on an elastic $D$-dimensional lattice embedded in $d>D$ dimensions is studied. Two critical systems interact when temperature is tuned to the Ising transition point,…

Statistical Mechanics · Physics 2024-10-03 Abigail Plummer

Nonreciprocal interactions in many-body systems lead to time-dependent states, commonly observed in biological, chemical, and ecological systems. The stability of these states in the thermodynamic limit and the critical behavior of the…

Statistical Mechanics · Physics 2025-04-01 Yael Avni , Michel Fruchart , David Martin , Daniel Seara , Vincenzo Vitelli

Non-reciprocal systems have been shown to sustain time-dependent patterns, most prominently travelling waves. The transition into these time-dependent states generally breaks time-translational invariance, representing a clear deviation…

Statistical Mechanics · Physics 2026-05-13 Emir Sezik , Gunnar Pruessner

We consider the critical behavior of two-dimensional layered Ising models where the exchange couplings between neighboring layers follow hierarchical sequences. The perturbation caused by the non-periodicity could be irrelevant, relevant or…

Condensed Matter · Physics 2009-10-28 Ferenc Igloi , Peter Lajko , Ferenc Szalma

We study dimensional crossover in Ising systems at complex temperatures by comparing three types of system: the infinite isotropic 2D Ising model; the infinite anisotropic 2D Ising model; and Ising ladders with a finite number of legs. In…

Statistical Mechanics · Physics 2020-04-22 Sankhya Basu , Chris A. Hooley , Vadim Oganesyan

A two-temperature lattice gas model with repulsive nearest-neighbour interactions is studied using Monte Carlo simulations and dynamical mean-field approximation. The evolution of the two-dimensional, half-filled system is described by an…

Statistical Mechanics · Physics 2009-10-30 Attila Szolnoki

We consider a model for thermal contact through a diathermal interface between two macroscopic bodies at different temperatures: an Ising spin chain with nearest neighbor interactions is endowed with a Glauber dynamics with different…

Statistical Mechanics · Physics 2018-05-09 M. Bauer , F. Cornu

Studies of QCD phase transition signals are often conducted under spatially uniform temperature conditions. However, the influence of spatial temperature gradients on the signals emerging at the phase interface in the fireball generated by…

High Energy Physics - Phenomenology · Physics 2026-03-06 Lijia Jiang , Tao Yang , Jun-Hui Zheng

We study a class of 2D non-equilibrium Ising models based on competing dynamics induced by contact with heat-baths at two different temperatures. We make a comparative study of the non-equilibrium versions of Metropolis, heat bath/Glauber…

Condensed Matter · Physics 2009-10-22 P. Tamayo , F. J. Alexander , R. Gupta

We analyze changes in the thermodynamic properties of a spin system when it passes from the classical two-dimensional Ising model to the spin glass model, where spin-spin interactions are random in their values and signs. Formally, the…

Disordered Systems and Neural Networks · Physics 2020-02-06 Boris Kryzhanovsky , Magomed Malsagov , Iakov Karandashev

We present a direct experimental investigation of the thermal ordering in an artificial analogue of an asymmetric two dimensional Ising system composed of a rectangular array of nano-fabricated magnetostatically interacting islands. During…

We derive exact renormalization-group recursion relations for an Ising model, in the presence of external fields, with ferromagnetic nearest-neighbor interactions on Migdal-Kadanoff hierarchical lattices. We consider layered distributions…

Statistical Mechanics · Physics 2009-10-31 Angsula Ghosh , T. A. S. Haddad , S. R. Salinas
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