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arXiv 1608.05136physics.chem-phcond-mat.soft
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分子液体的表面张力:格子气方法

Surface tension of molecular liquids: Lattice gas approach

A. Maslechko, K. Glavatskiy, V. Kulinskii

摘要:

利用流体与Ising模型的整体同构方法,在伊辛模型信息的基础上,得到了Lennard-Jones流体的表面张力表达式。这是在沿着相共存的温度的宽间隔中完成的,并且在2D和3D中都是有效的。在临界点附近,导出了流体表面张力的临界幅值与伊辛模型的关系。所得的表面张力的理论估计值与文献结果吻合得很好。该方法被证明为二维LJ流体的精确解的基础上的二维伊辛模型和测试的三维LJ流体。在此基础上,导出了不含拟合参数的表面张力表达式。

英文摘要:

The approach of global isomorphism between the fluid and the Ising model is applied to obtain an expression for the surface tension of the Lennard-Jones fluid on the basis of the information about the Ising model. This is done in a broad interval of temperatures along the phase coexistence, and is valid both in 2D and 3D. The relation between the critical amplitudes of the surface tension of the fluid and the Ising model is derived in the vicinity of the critical point. The obtained theoretical estimates agree well with the literature results for the surface tension. The methodology is demonstrated for the 2D LJ fluid on the basis of the exact solution of the 2D Ising model and is tested for the 3D LJ fluid. As a result, an expression for the surface tension without any fitting parameter is derived.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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