# Nonequilibrium phase transitions and tricriticality in a three-dimensional lattice system with random-field competing kinetics

Source: [Nonequilibrium phase transitions and tricriticality in a three-dimensional lattice system with random-field competing kinetics](<https://www.sota2.com/research/paper/68fa2f4b1e209131ce86aa59>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T17:27:53.167Z

Authors: Nuno Crokidakis

Published: 2010-04-12T21:37:52.000Z

## Abstract

We study a nonequilibrium Ising model that stochastically evolves under the simultaneous operation of several spin-flip mechanisms. In other words, the local magnetic fields change sign randomly with time due to competing kinetics. This dynamics models a fast and random diffusion of disorder that takes place in dilute metallic alloys when magnetic ions diffuse. We performe Monte Carlo simulations on cubic lattices up to L=60. The system exhibits ferromagnetic and paramagnetic steady states. Our results predict first-order transitions at low temperatures and large disorder strengths, which correspond to the existence of a nonequilibrium tricritical point at finite temperature.  By means of standard finite-size scaling equations, we estimate the critical exponents in the low-field region, for which our simulations uphold continuous phase transitions.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1004.2065>)

[PDF](<https://arxiv.org/pdf/1004.2065.pdf>)