Monte Carlo study of the magnetic critical properties of the two-dimensional Ising fluid

Abstract

A two-dimensional fluid of hard spheres each having a spin $\pm 1$ and interacting via short-range Ising-like interaction is studied near the second order phase transition from the paramagnetic gas to the ferromagnetic gas phase. Monte Carlo simulation technique and the multiple histogram data analysis were used. By measuring the finite-size behaviour of several different thermodynamic quantities,we were able to locate the transition and estimate values of various static critical exponents. The values of exponents $\beta /\nu$ and $\gamma /\nu$ are close to the ones for the two-dimensional lattice Ising model. However, our result for the exponent $\nu =1.35$ is very different from the one for the Ising universality class.

6 pages, 8 figures. To appear in Phys. Rev. E

References in corpus (2)

• Tricritical universality in a two-dimensional spin fluid
• Critical Behaviour of the Randomly Spin--Diluted 2-d Ising Model --- A Grand Ensemble Approach

Cited by in corpus (4)

• Ferromagnetic phase transition in a Heisenberg fluid: Monte Carlo simulations and Fisher corrections to scaling
• Ising fluids in an external magnetic field: an integral equation approach
• Phase diagrams of classical spin fluids: the influence of an external magnetic field on the liquid-gas transition
• Corrections to scaling in systems with thermodynamic constraints