arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.00283cond-mat.stat-mech
收藏

分子场与流体统计场论。界面现象的应用

Molecular fields and statistical field theory of fluids. Application to interface phenomena

Nikolai V. Brilliantov, J. Miguel Rubi, Yury A. Budkov

摘要:

利用积分变换,得到了流体统计场论的场论哈密顿量及其系数的微观表达式。将这种方法应用于汽液界面,我们得到了表面张力随温度、密度和分子间势参数变化的显式解析表达式。我们还表明,一个明确的物理解释可能会给正式的统计领域所产生的积分变换-它可能与一体的局部微观潜力。理论的结果,没有任何特设或拟合参数是在一个很好的协议与可用的模拟数据。

英文摘要:

Using the integral transformation, the field-theoretical Hamiltonian of the statistical field theory of fluids is obtained, along with the microscopic expressions for the coefficients of the Hamiltonian. Applying this approach to the liquid-vapor interface, we derive an explicit analytical expression for the surface tension in terms of temperature, density and parameters of inter-molecular potential. We also demonstrate that a clear physical interpretation may be given to the formal statistical field arising in the integral transformation - it may be associated with the one-body local microscopic potential. The results of the theory, lacking any ad-hoc or fitting parameters are in a good agreement with available simulation data.

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。

↑