Viscoelasticity of fluids with steeply repulsive potentials
Viscoelasticity of fluids with steeply repulsive potentials
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具有陡峭排斥势的流体的粘弹性
DOI：
10.1063/1.1575204
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发表时间：
2003
影响因子：
4.4
通讯作者：
D. Heyes
中科院分区：
文献类型：
--
作者：
G. Rickayzen;J. Powles;D. Heyes
我们考虑由粒子组成的流体的无限频率模量和时间相关函数，这些粒子通过一般解析形式的陡峭排斥势相互作用，φ（r）=kBT exp[−αf（r）]，其中α是势的陡度或刚度的度量。 虽然这些势有不同的解析形式，但在α→∞的陡峭排斥极限下，导出的性质变得几乎相同，并且只依赖于α和其他基本变量的值。我们所研究的所有无限频率模量都与α成正比，压力的相互作用部分仅弱地依赖于α。对于力和其他构型性质时间函数C（t），时间t可以用αt代替，即，C（t）=1−T*（αt*）2+O[（αt*）4]，其中T*=kBT/e，是约化温度，kB是玻尔兹曼常数，其中e是势能的特征能量，t* 是约化时间。我们在早期的出版物中证明了这一点，为逆幂，r-n势（其中α <$n），并在这里显示.
We consider the infinite frequency moduli and time correlation functions of fluids composed of particles that interact through a steeply repulsive potential of the general analytic form, φ(r)=kBT exp[−αf(r)], where α is a measure of the steepness or stiffness of the potential. Although these potentials have different analytical forms, in the steeply repulsive limit of α→∞, the derived properties become almost identical and are only dependent on the value of α and other basic variables. All the infinite frequency moduli which we study are proportional to α and the interaction part of the pressure is only weakly dependent on α. For the force and other configurational property time functions C(t), time t can be replaced by αt, i.e., C(t)=1−T*(αt*)2+O[(αt*)4], where T*=kBT/e, is the reduced temperature, kB is Boltzmann’s constant, where e is a characteristic energy for the potential, and t* is a reduced time. We proved this in earlier publications for an inverse power, r−n potential (where α≡n), and show here...