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Crossover description of transport properties for some hydrocarbons in the supercritical region. Chem Phys Lett 2022. [DOI: 10.1016/j.cplett.2022.139394] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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Crossover equation of state of a multi-component fluid mixture in the vicinity of liquid-vapor critical points. Chem Phys 2018. [DOI: 10.1016/j.chemphys.2018.05.003] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Agayan VA, Anisimov MA, Sengers JV. Crossover parametric equation of state for Ising-like systems. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2001; 64:026125. [PMID: 11497669 DOI: 10.1103/physreve.64.026125] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/19/2001] [Indexed: 05/23/2023]
Abstract
We present a parametric equation for the thermodynamic properties in the critical region of three-dimensional Ising-like systems which include fluids and fluid mixtures. The equation of state incorporates a crossover from singular Ising behavior asymptotically close to the critical point to classical (mean-field) behavior further away from the critical point, characterized by two physical crossover parameters: a coupling constant related to the strength and range of molecular interactions and a "cutoff" wave number for the critical fluctuations. In the asymptotic Ising limit, the crossover equation reproduces the most recent theoretical estimates for the universal ratios of the leading and correction-to-scaling critical amplitudes. The equation has been tested by comparing it with recent experimental thermodynamic-property data for 3He near its vapor-liquid critical point.
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Affiliation(s)
- V A Agayan
- Institute for Physical Science and Technnology and Department of Chemical Engineering, University of Maryland, College Park 20742, USA
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Bailin D, Love A. Dipolar crossover effects for uniaxial ferromagnets and ferroelectrics. ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0022-3719/10/18/027] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Elderfield DJ. Parametric representation of the dilute polymer system to O(ϵ2): crossover from Wilson-Fisher to gaussian fixed point as the Flory temperature is approached. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/13/32/013] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Mon KK, Binder K. Finite-size scaling and the crossover to mean-field critical behavior in the two-dimensional Ising model with medium-ranged interactions. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993; 48:2498-2506. [PMID: 9960883 DOI: 10.1103/physreve.48.2498] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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