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Open AccessJournal ArticleDOI

Phase separation in binary hard-core mixtures: An exact result

Daan Frenkel, +1 more
- 01 Jun 1992 - 
- Vol. 68, Iss: 22, pp 3363-3365
TLDR
A first-order, entropy-driven demixing transition in a simple lattice model for a hard-core mixture is proved and leads to a very simple interpretation of the entropic contribution of the solvent to the interaction parameter χ in the Flory-Huggins theory of polymer solutions.
Abstract: 
We prove the existence of a first-order, entropy-driven demixing transition in a simple lattice model for a hard-core mixture. The existence of this transition follows from the fact that this lattice model can be mapped onto an Ising model with nearest-neighbor interactions for which the phase behavior is known. The same mapping leads to a very simple interpretation of the entropic contribution of the solvent to the interaction parameter χ in the Flory-Huggins theory of polymer solutions.

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Citations
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Journal ArticleDOI

Exactly Solved Models in Statistical Mechanics

M A Moore
- 01 Apr 1983 - 
TL;DR: Baxter has inherited the mantle of Onsager who started the process by solving exactly the two-dimensional Ising model in 1944 as mentioned in this paper, and there has been a growing belief that all the twodimensional lattice statistical models will eventually be solved and that it will be Professor Baxter who solves them.
Book

Statistical Mechanics: Entropy, Order Parameters and Complexity

James P. Sethna
TL;DR: In this article, the authors introduce statistical mechanics, including random walks and emergent properties, as well as phase-space dynamics and ergodicity, including free energy and entropy.
Book ChapterDOI

Integral Equation Theories of the Structure, Thermodynamics, and Phase Transitions of Polymer Fluids

Kenneth S. Schweizer, +1 more
- 14 Mar 2007 - 
Journal ArticleDOI

Beware of density dependent pair potentials

Ard A. Louis
- 14 Oct 2002 - 
TL;DR: In this paper, the transferability and representability problems of effective pair potentials are discussed, and several pedagogical examples are illustrated by several examples, such as the mapping of charged (Debye-Huckel) and uncharged (Asakura-Oosawa) two component systems onto effective one component ones.
Journal ArticleDOI

Beware of density dependent pair potentials

Ard A. Louis
- 07 May 2002 - 
TL;DR: In this paper, it was shown that the pair potential that correctly reproduces the pair structure will not generate the right virial pressure, which can lead to an apparent dependence of thermodynamic properties on the ensemble within which they are calculated.
References
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Journal ArticleDOI

Exactly Solved Models in Statistical Mechanics

M A Moore
- 01 Apr 1983 - 
TL;DR: Baxter has inherited the mantle of Onsager who started the process by solving exactly the two-dimensional Ising model in 1944 as mentioned in this paper, and there has been a growing belief that all the twodimensional lattice statistical models will eventually be solved and that it will be Professor Baxter who solves them.