2010/04/12 by Nuno Crokidakis · 23 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Critical exponent #Critical point (mathematics) #Ferromagnetism #Ising model #Lattice (music) #Markov Chains and Monte Carlo Methods #Mathematics #Monte Carlo method #Non-equilibrium thermodynamics #Paramagnetism #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum mechanics #Scaling #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #Tricritical point #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.81.041138
published in Physical Review E 81(4), 041138 (American Physical Society) · 14 pages, 7 figures, accepted for publication in Phys. Rev. E
arxiv created 2010/04/12 · openalex publication_date 2010/04/30 · arxiv updated 2015/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 perform 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.