Patsahan O
Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Street, 79011 Lviv, Ukraine.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jun;89(6):062143. doi: 10.1103/PhysRevE.89.062143. Epub 2014 Jun 30.
We study the effects of an interaction range on the gas-liquid phase diagram and the crossover behavior of a simple model of ionic fluids: an equimolar binary mixture of equisized hard spheres interacting through screened Coulomb potentials which are repulsive between particles of the same species and attractive between particles of different species. Using the collective variables theory, we find explicit expressions for the relevant coefficients of the effective φ{4} Ginzburg-Landau Hamiltonian in a one-loop approximation. Within the framework of this approximation, we calculate the critical parameters and gas-liquid phase diagrams for varying inverse screening length z. Both the critical temperature scaled by the Yukawa potential contact value and the critical density rapidly decrease with an increase of the interaction range (a decrease of z) and then for z<0.05 they slowly approach the values found for a restricted primitive model (RPM). We find that gas-liquid coexistence region reduces with an increase of z and completely vanishes at z≃2.78. Our results clearly show that an increase in the interaction range leads to a decrease of the crossover temperature. For z≃0.01, the crossover temperature is the same as for the RPM.
一种等摩尔二元混合物,由大小相等的硬球组成,通过屏蔽库仑势相互作用,同种粒子之间相互排斥,异种粒子之间相互吸引。利用集体变量理论,我们在单圈近似下找到了有效φ⁴金兹堡 - 朗道哈密顿量相关系数的显式表达式。在该近似框架内,我们计算了不同反屏蔽长度z下的临界参数和气液相图。由汤川势接触值缩放的临界温度和临界密度都随着相互作用范围的增加(z的减小)而迅速降低,然后对于z < 0.05,它们缓慢趋近于受限原始模型(RPM)所得到的值。我们发现气液共存区域随着z的增加而减小,并在z≃2.78时完全消失。我们的结果清楚地表明,相互作用范围的增加会导致交叉温度降低。对于z≃0.01,交叉温度与RPM的相同。