APPLICATION OF CONTINUOUS THERMODYNAMICS TO THE STABILITY OF POLYMER SYSTEMS .4.

被引:11
作者
BERGMANN, J [1 ]
TEICHERT, H [1 ]
KEHLEN, H [1 ]
RATZSCH, MT [1 ]
机构
[1] TECHN UNIV MERSEBURG,INST PHYS CHEM,O-4200 MERSEBURG,GERMANY
来源
JOURNAL OF MACROMOLECULAR SCIENCE-PURE AND APPLIED CHEMISTRY | 1992年 / 29卷 / 4-5期
关键词
D O I
10.1080/10101329208052167
中图分类号
O63 [高分子化学(高聚物)];
学科分类号
070305 ; 080501 ; 081704 ;
摘要
A method for establishing in the framework of continuous thermodynamics the stability criteria for multiple critical states of increasing order is presented. The method applies to a relatively general class of Gibbs free energy relations for polymer solutions: The function replacing the chi-term in the classic Flory-Huggins theory is permitted to depend on a finite number of moments of the polymer distribution so as to embrace most Gibbs free energy relations used in practice. In this way, determinant criteria for multiple critical states are formulated that are analogous in structure to those in traditional (discrete) thermodynamics. However, the dimension of the determinants is reduced from N (number of polymer species) to n (number of moments taken into account).
引用
收藏
页码:371 / 379
页数:9
相关论文
共 12 条
[1]   SPINODAL EQUATION FOR POLYDISPERSE POLYMER-SOLUTIONS [J].
BEERBAUM, S ;
BERGMANN, J ;
KEHLEN, H ;
RATZSCH, MT .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1986, 406 (1830) :63-73
[2]   CRITICAL-POINT EQUATIONS FOR POLYDISPERSE POLYMER-SOLUTIONS [J].
BEERBAUM, S ;
BERGMANN, J ;
KEHLEN, H ;
RATZSCH, MT .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1987, 414 (1846) :103-110
[3]   APPLICATION OF CONTINUOUS THERMODYNAMICS TO THE STABILITY OF POLYMER SYSTEMS .2. [J].
BEERBAUM, S ;
BERGMANN, J ;
KEHLEN, H ;
RATZSCH, MT .
JOURNAL OF MACROMOLECULAR SCIENCE-CHEMISTRY, 1987, A24 (12) :1445-1463
[4]  
BERGMANN J, 1990, Z PHYS CHEM-LEIPZIG, V271, P869
[5]   STABILITY STUDIES WITH THE AID OF CONTINUOUS THERMODYNAMICS [J].
BERGMANN, J ;
KEHLEN, H ;
RATZSCH, MT .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1985, 65 (08) :343-353
[6]  
BROWARZIK D, 1990, J MACROMOL SCI CHEM, VA27, P549
[7]   PULSE-INDUCED CRITICAL SCATTERING AND THE CHARACTERIZATION OF POLYMER SAMPLES [J].
GALINA, H ;
GORDON, M ;
IRVINE, P ;
KLEINTJENS, LA .
PURE AND APPLIED CHEMISTRY, 1982, 54 (02) :365-377
[8]   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
[9]  
IRVINE P, 1979, THESIS U ESSEX
[10]   MULTIPHASE EQUILIBRIA IN SOLUTIONS OF POLYDISPERSE HOMOPOLYMERS .4. 3-PHASE AND 4-PHASE SEPARATIONS IN QUATERNARY SYSTEMS [J].
SOLC, K ;
BATTJES, K .
MACROMOLECULES, 1985, 18 (02) :220-231