Effect of an external magnetic field on the gas-liquid transition in the Heisenberg spin fluid

Sokolovska, T. G.; Sokolovskii, R. O.

doi:10.1103/physreve.59.r3819

Cited by 30 publications

(22 citation statements)

References 14 publications

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“…It takes into account pair correlations between particles in spin space, which are completely ignored by the MF approach. Previous integral equation studies on magnetic fluids have been restricted exclusively to ideal systems with Heisenberg spin interactions in the absence of an external field [8,9] or only included a few nonzero field values [10][11][12][13]. No integral equation calculations have been performed for nonideal spin fluids at H = 0, even within the well-known Ising model.…”

Section: Introductionmentioning

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%

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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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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2004

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“…! of the bulk nematic can be found from the anisotropic Ornstein-Zernike (OZ) equation for a pure nematic, and the Lovett equation [6,9,10].…”

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confidence: 99%

Surface-Induced Ordering of Nematics in an External Field: The Strong Influence of Tilted Walls

Patey

2004

Phys. Rev. Lett.

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Microscopic theory is used to investigate surface-induced order in a model nematic subjected to an external orienting field. The wall-particle interaction tends to orient particles perpendicular to the surface. It is shown that if the wall is tilted at approximately 45 degrees to the field, the reorientational effects can be an order of magnitude larger than those observed for perpendicular or parallel orientations. The surprising observation is associated with the breaking of a particular bulk symmetry. A possible practical application of the tilted geometry is briefly discussed.

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“…having the chance to participate in this field with him over several years. Many aspects of such systems have been studied with different methods to get a more or less complete picture of the model and to understand the behavior of real systems [1][2][3][4][5][6][7]. The phase diagram of a magnetic liquid may show different topologies.…”

Section: Introductionmentioning

confidence: 99%