论文标题
细胞流体模型的状态方程，并允许阶参数的高斯波动
Equation of state of a cell fluid model with allowance for Gaussian fluctuations of the order parameter
论文作者
论文摘要
该论文致力于开发细胞流体模型的临界行为的显微镜描述，并允许从具有波矢量的非零值的集体变量贡献。数学描述是在经过改进的摩尔斯电位的情况下，在超临界温度范围（$ t> t_c $）中执行的，并具有额外的排斥相互作用。该方法在此开发用于构建系统状态通过使用订单参数波动的高斯分布来构建系统状态的方程，在较大密度和温度的临界点附近是有效的。对于相对温度的各种固定值，在有没有考虑上述贡献的情况下，绘制了系统的压力作为化学电位和密度的函数。与零模式近似的结果相比，这些贡献的作用微不足道的作用被指示为温度$ t> t_c $。在$ t <t_c $时，它们更为重要。
The paper is devoted to the development of a microscopic description of the critical behavior of a cell fluid model with allowance for the contributions from collective variables with nonzero values of the wave vector. The mathematical description is performed in the supercritical temperature range ($T>T_c$) in the case of a modified Morse potential with additional repulsive interaction. The method, developed here for constructing the equation of state of the system by using the Gaussian distribution of the order parameter fluctuations, is valid beyond the immediate vicinity of the critical point for a wide range of density and temperature. The pressure of the system as a function of chemical potential and density is plotted for various fixed values of the relative temperature, both with and without considering the above-mentioned contributions. Compared with the results of the zero-mode approximation, the insignificant role of these contributions is indicated for temperatures $T>T_c$. At $T<T_c$, they are more significant.
