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

Ferreira, A. L.; Korneta, W.

doi:10.1103/physreve.57.3107

Cited by 15 publications

(17 citation statements)

References 19 publications

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“…In such a situation (when ξ ≡ ξ(T * ) with T * = 8πρ * /n), Eq. (19) transforms into a complicated nonlinear equation in ρ * and must be solved numerically (the integration (17) has been carried out numerically too). The results of these computations are shown in Table I as well and marked by the superscript SC.…”

Section: Phase Separationsmentioning

confidence: 99%

Phase diagrams of classical spin fluids: The influence of an external magnetic field on the liquid-gas transition

et al. 2003

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The influence of an external magnetic field on the liquid-gas phase transition in Ising, XY, and Heisenberg spin fluid models is studied using a modified mean field theory and Gibbs ensemble Monte Carlo simulations. It is demonstrated that the theory is able to reproduce quantitatively all characteristic features of the field dependence of the critical temperature T(c)(H) for all the three models. These features include a monotonic decrease of T(c) with rising H in the case of the Ising fluid as well as a more complicated nonmonotonic behavior for the XY and Heisenberg models. The nonmonotonicity consists in a decrease of T(c) with increasing H at weak external fields, an increase of T(c) with rising H in the strong field regime, and the existence of a minimum in T(c)(H) at intermediate values of H. Analytical expressions for T(c)(H) in the large field limit are presented as well. The paramagnetic-ferromagnetic phase transition is also considered in simulations and described within the mean field theory.

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Section: Phase Separationsmentioning

confidence: 99%

Phase diagrams of classical spin fluids: The influence of an external magnetic field on the liquid-gas transition

et al. 2003

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“…It is worthwhile to note that though the Ising universality class is broad, there are exceptions as found in [7] where ν could be only 0.89 and in [8] where ν is 1.35 but in both cases γ/ν is still 1.75. In both cases, the system has only a single layer and no driving fields are present.…”

Section: Discussionmentioning

confidence: 99%

Unequal intralayer coupling in a bilayer driven lattice gas

Chng

Wang

2000

Phys. Rev. E

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The system under study is a twin-layered square lattice gas at half-filling, being driven to non-equilibrium steady states by a large, finite 'electric' field. By making intra-layer couplings unequal we were able to extend the phase diagram obtained by Hill, Zia and Schmittmann (1996) and found that the tri-critical point, which separates the phase regions of the stripped (S) phase (stable at positive interlayer interactions J 3 ), the filled-empty (FE) phase (stable at negative J 3 ) and disorder (D), is shifted even further into the negative J 3 region as the coupling traverse to the driving field increases. Many transient phases to the S phase at the S-FE boundary were found to be long-lived. We also attempted to test whether the universality class of D-FE transitions under a drive is still Ising. Simulation results suggest a value of 1.75 for the exponent γ but a value close to 2.0 for the ratio γ/ν. We speculate that the D-FE second order transition is different from Ising near criticality, where observed first-order-like transitions between FE and its "local minimum" cousin occur during each simulation run. PACS number(s): 05.50.+q, 64.60.C, 05.70.Jk.

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“…Then two of the three chemical potential conditions in Eqs. (19) and (20) can be rewritten in the equivalent form…”

Section: Phase Separationsmentioning

confidence: 99%

“…The investigations have been carried out using the mean field (MF) theory [1][2][3][4][5][6][7], the method of integral equations [8][9][10][11][12][13], as well as Monte Carlo (MC) simulation techniques [7,8,11,[14][15][16][17][18][19][20]. They dealt mainly with simplified models belonging to a so-called ideal class of spin fluids, where the attractive part of nonmagnetic interactions is absent (R = ∞).…”

Section: Introductionmentioning

confidence: 99%

Ising fluids in an external magnetic field: An integral equation approach

et al. 2004

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The phase behavior of Ising spin fluids is studied in the presence of an external magnetic field with the integral equation method. The calculations are performed on the basis of a soft mean spherical approximation using an efficient algorithm for solving the coupled set of the Ornstein-Zernike equations, the closure relations, and the external field constraint. The phase diagrams are obtained in the whole thermodynamic space including the magnetic field H for a wide class of Ising fluid models with various ratios R for the strengths of magnetic to nonmagnetic Yukawa-like interactions. The influence of varying the inverse screening lengths z 1 and z 2 , corresponding to the magnetic and nonmagnetic Yukawa parts of the potential, is investigated too. It is shown that changes in R as well as in z 1 and z 2 can lead to different topologies of the phase diagrams. In particular, depending on the value of R, the critical temperature of the liquid-gas transition either decreases monotonically, behaves nonmonotonically, or increases monotonically with increasing H. The paraferro magnetic transition is also affected by changes in R and the screening lengths. At H = 0, the Ising fluid maps onto a simple model of a symmetric nonmagnetic binary mixture. For H → ∞, it reduces to a pure nonmagnetic 1 fluid. The results are compared with available simulations and the predictions of other theoretical methods. It is demonstrated, that the mean spherical approximation appears to be more accurate compared with mean field theory, especially for systems with short ranged attraction potentials (when z 1 and z 2 are large). In the Kac limit z 1 , z 2 → +0, both approaches tend to nearly the same results. PACS number(s): 64.70. Fx, 05.70.Fh, 75.50.Mm

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

Cited by 15 publications

References 19 publications

Phase diagrams of classical spin fluids: The influence of an external magnetic field on the liquid-gas transition

Phase diagrams of classical spin fluids: The influence of an external magnetic field on the liquid-gas transition

Unequal intralayer coupling in a bilayer driven lattice gas

Ising fluids in an external magnetic field: An integral equation approach

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