Thermodynamic properties of a polydisperse system.
نویسندگان
چکیده
We use the virial theorem to derive a closed analytic form of the Helmholtz free energy for a polydisperse system of sticky hard spheres (SHS) within the mean spherical model (MSM). To this end we calculate the free energy of the MSM for an N-component mixture of SHS via the virial route and apply to it-after imposing a Lorentz-Berthelot type rule on the interactions-the stochastic (i.e., polydisperse) limit. The resulting excess free energy of this polydisperse system is of the truncatable moment free energy format. We also discuss the compressibility and the energy routes.
منابع مشابه
Thermodynamic Limit for Polydisperse Fluids
We examine the thermodynamic limit of fluids of hard core particles that are polydisperse in size and shape. In addition, particles may interact magnetically. Free energy of such systems is a random variable because it depends on the choice of particles. We prove that the thermodynamic limit exists with probability 1, and is independent of the choice of particles. Our proof applies to polydispe...
متن کاملDissertation Structure , thermodynamics and phase behavior of a polydisperse colloidal mixture
In this work we have studied the thermodynamic properties and the phase transitions of simple polydisperse systems, where we direct our attention on the fluid phases only. In our study we have treated a polydisperse system as a n-component mixture in the limit n → ∞ where the particle diameters are distributed continously within a range [σmin, σmax] and the concentrations of the various particl...
متن کاملStructure and thermodynamic properties of a polydisperse fluid in contact with a polydisperse matrix
We present expressions that allow the determination of the structural and thermodynamic properties of a polydisperse liquid mixture in contact with a polydisperse matrix; polydispersity of the fluid and of the matrix are described by distribution functions ff ( ) and fm ( ), where and characterize the size of the fluid and of the matrix particles. The formalism is based on the replica trick (to...
متن کاملSolution of the mean spherical approximation for polydisperse multi-Yukawa hard-sphere fluid mixture using orthogonal polynomial expansions.
The Blum-Hoye [J. Stat. Phys. 19 317 (1978)] solution of the mean spherical approximation for a multicomponent multi-Yukawa hard-sphere fluid is extended to a polydisperse multi-Yukawa hard-sphere fluid. Our extension is based on the application of the orthogonal polynomial expansion method of Lado [Phys. Rev. E 54, 4411 (1996)]. Closed form analytical expressions for the structural and thermod...
متن کاملThe Thermodynamic Properties of Polarized Metallic Nanowire in the Presence of Magnetic Field
In this article, the second quantization method has been used to investigate some thermodynamic properties of spin-polarized metallic nanowire in the presence of magnetic field at zero temperature. We have been observed that in different magnetic field, the equilibrium energy of system increases as the density increases. The spin-polarization parameter corresponding to the equilibrium state of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 64 3 Pt 1 شماره
صفحات -
تاریخ انتشار 2001