Demixing in isotropic binary mixtures of rodlike macromolecules

被引:16
作者
Hemmer, PC [1 ]
机构
[1] Norges Tekn Nat Vitenskapelige Univ, Inst Fys, N-7491 Trondheim, Norway
关键词
colloids; phase transitions; binary mixtures; hard rods;
D O I
10.1023/A:1018671107958
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A binary mixture of long rigid rods of diameters D-i and lengths L-i (i = 1, 2) may demix into two isotropic phases. and we give necessary conditions on the molecular size parameters for this transition to exist. These conditions imply th;lt the two diameters must be sufficiently unequal, D-2/D-1 > (9/7+4/7 root 2)(2), or D-2/D-1 < (9/7-4/7 root 2)(2), while the length ratio is limited to an interval f_(D-2/D-1) < L-2/L-1 < f(+)(D-2/D-1). The functions f(+/-) are given explicitly.
引用
收藏
页码:3 / 11
页数:9
相关论文
共 12 条
[1]   PHASE-SEPARATION OF ASYMMETRIC BINARY HARD-SPHERE FLUIDS [J].
BIBEN, T ;
HANSEN, JP .
PHYSICAL REVIEW LETTERS, 1991, 66 (17) :2215-2218
[2]  
Birshtein T. M., 1988, Polymer Sci. U.S.S.R, V30, P316, DOI [10.1016/0032-3950(88)90125-6, DOI 10.1016/0032-3950(88)90125-6]
[3]  
Hemmer PC, 1999, MOL PHYS, V96, P1153, DOI 10.1080/00268979909483059
[4]   BIFURCATION IN ONSAGER MODEL OF ISOTROPIC-NEMATIC TRANSITION [J].
KAYSER, RF ;
RAVECHE, HJ .
PHYSICAL REVIEW A, 1978, 17 (06) :2067-2072
[5]   ON THE ISOTROPIC-LIQUID CRYSTAL PHASE-SEPARATION IN A SOLUTION OF RODLIKE PARTICLES OF DIFFERENT LENGTHS [J].
LEKKERKERKER, HNW ;
COULON, P ;
VANDERHAEGEN, R ;
DEBLIECK, R .
JOURNAL OF CHEMICAL PHYSICS, 1984, 80 (07) :3427-3433
[6]   THEORY OF THE ISOTROPIC LIQUID-CRYSTAL PHASE-SEPARATION FOR A SOLUTION OF BIDISPERSE RODLIKE MACROMOLECULES [J].
ODIJK, T ;
LEKKERKERKER, HNW .
JOURNAL OF PHYSICAL CHEMISTRY, 1985, 89 (10) :2090-2096
[8]   Phase behaviour of a symmetric binary mixture of hard rods [J].
Sear, RP ;
Mulder, BM .
JOURNAL OF CHEMICAL PHYSICS, 1996, 105 (17) :7727-7734
[9]   THEORY FOR THE PHASE-BEHAVIOR OF A MIXTURE OF A RODLIKE COLLOID AND A RODLIKE POLYMER [J].
SEAR, RP ;
JACKSON, G .
JOURNAL OF CHEMICAL PHYSICS, 1995, 103 (19) :8684-8693
[10]  
van Roij R, 1998, PHYSICA A, V261, P374, DOI 10.1016/S0378-4371(98)00429-4