Projected free energies for polydisperse phase equilibria

被引：100

作者：

Sollich, P ^{[1
]}

Cates, ME ^{[1
]}

机构：

[1] Univ Edinburgh, Dept Phys & Astron, Edinburgh EH9 3JZ, Midlothian, Scotland

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 80卷 / 07期

关键词：

D O I：

10.1103/PhysRevLett.80.1365

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A "polydisperse" system has an infinite number of conserved densities. We give a rational procedure for projecting its infinite-dimensional free energy surface onto a subspace comprising a finite number of linear combinations of densities ("moments"), in which the phase behavior is then found as usual. If the excess free energy of the system depends only on the moments used, exact cloud, shadow, and spinodal curves result; two-phase and multiphase regions are approximate, but refinable indefinitely by adding extra moments. The approach is computationally robust and gives new geometrical insights into the thermodynamics of polydispersity.

引用

页码：1365 / 1368

页数：4

共 22 条

[11] PHASE-EQUILIBRIA IN POLYDISPERSE FLUIDS [J].

GUALTIERI, JA ;

KINCAID, JM ;

MORRISON, G .

JOURNAL OF CHEMICAL PHYSICS, 1982, 77 (01) :521-536

[12] APPLICATION OF A REDUCTION METHOD TO PHASE-EQUILIBRIA CALCULATIONS [J].

HENDRIKS, EM ;

VANBERGEN, ARD .

FLUID PHASE EQUILIBRIA, 1992, 74 :17-34

[13] REDUCTION THEOREM FOR PHASE-EQUILIBRIUM PROBLEMS [J].

HENDRIKS, EM .

INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 1988, 27 (09) :1728-1732

[14] TRUNCATION THEOREMS FOR SPINODALS AND CRITICAL-POINTS OF MEAN-FIELD MODELS FOR POLYDISPERSE POLYMER-SOLUTIONS [J].

IRVINE, P ;

GORDON, M .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1981, 375 (1762) :397-408

[15] EFFICIENT COMPUTATION OF PHASE-EQUILIBRIA IN POLYDISPERSE POLYMER-SOLUTIONS USING R-EQUIVALENT DELTA-FUNCTION MOLECULAR-WEIGHT DISTRIBUTIONS [J].

IRVINE, PA ;

KENNEDY, JW .

MACROMOLECULES, 1982, 15 (02) :473-482

[16] PHASE-TRANSITIONS IN RANDOM COPOLYMERS [J].

NESARIKAR, A ;

DELACRUZ, MO ;

CRIST, B .

JOURNAL OF CHEMICAL PHYSICS, 1993, 98 (09) :7385-7397

[17]

RATZSCH MT, 1991, ADV POLYM SCI, V98, P49

[18] POLYDISPERSE SYSTEMS - STATISTICAL THERMODYNAMICS, WITH APPLICATIONS TO SEVERAL MODELS INCLUDING HARD AND PERMEABLE SPHERES [J].

SALACUSE, JJ ;

STELL, G .

JOURNAL OF CHEMICAL PHYSICS, 1982, 77 (07) :3714-3725

[19] PHASE-EQUILIBRIUM CALCULATIONS FOR CONTINUOUS AND SEMICONTINUOUS MIXTURES [J].

SHIBATA, SK ;

SANDLER, SI ;

BEHRENS, RA .

CHEMICAL ENGINEERING SCIENCE, 1987, 42 (08) :1977-1988

[20] Liquid-liquid phase separation in multicomponent polymer systems .26. Blends of two polydisperse polymers [J].

Solc, K ;

Koningsveld, R .

COLLECTION OF CZECHOSLOVAK CHEMICAL COMMUNICATIONS, 1995, 60 (10) :1689-1718

← 1 2 3 →