STATISTICS OF EXPERIMENTS ON CLUSTER FORMATION AND TRANSPORT IN A GRAVITATIONAL-FIELD

被引:4
作者
MYERSON, AS
IZMAILOV, AF
机构
[1] Department of Chemical Engineering, Polytechnic University, Six Metrotech Center, Brooklyn, NY, 11201
关键词
D O I
10.1088/0022-3727/26/8B/019
中图分类号
O59 [应用物理学];
学科分类号
摘要
Metastable state relaxation in a gravitational field is investigated in the case of non-critical binary solutions. A relaxation description is presented in terms of the time-dependent Ginzburg-Landau formalism for a non-conserved order parameter. A new ansatz for solution of the corresponding partial nonlinear stochastic differential equation is discussed. It is proved that, for the supersaturated solution under consideration, the metastable state relaxation in a gravitational field leads to formation of solute concentration gradients due to the sedimentation of subcritical solute clusters. The pure discussion of the possible methods to compare theoretical results and experimental data related to solute sedimentation in a gravitational field is presented. It is shown that in order to describe these experiments it is necessary to deal both with the value of the solute concentration gradient and with its formation rate. The stochastic nature of the sedimentation process is shown.
引用
收藏
页码:B123 / B127
页数:5
相关论文
共 15 条
[1]  
[Anonymous], 1983, PHASE TRANSITIONS CR
[2]   FREE ENERGY OF A NONUNIFORM SYSTEM .3. NUCLEATION IN A 2-COMPONENT INCOMPRESSIBLE FLUID [J].
CAHN, JW ;
HILLIARD, JE .
JOURNAL OF CHEMICAL PHYSICS, 1959, 31 (03) :688-699
[3]  
CHANG YC, 1984, IND CRYSTALLIZATION
[4]   CLUSTER SIZE ESTIMATION IN BINARY SUPERSATURATED SOLUTIONS [J].
GINDE, RM ;
MYERSON, AS .
JOURNAL OF CRYSTAL GROWTH, 1992, 116 (1-2) :41-47
[5]  
GINZBURG VL, 1965, COLLECTED PAPERS LD
[6]  
Isihara A, 1971, STAT PHYS
[7]   CONCENTRATION GRADIENT FORMATION IN SUPERSATURATED VERTICAL COLUMNS .1. FOKKER-PLANCK APPROXIMATION [J].
IZMAILOV, AF ;
MYERSON, AS .
JOURNAL OF CRYSTAL GROWTH, 1992, 121 (04) :723-732
[8]   METASTABLE STATE RELAXATION IN A GRAVITATIONAL-FIELD [J].
IZMAILOV, AF ;
MYERSON, AS .
PHYSICA A, 1992, 183 (04) :549-562
[9]  
IZMAILOV AF, 1992, PHYSICA A, V192, P85
[10]  
IZMAILOV AF, 1992, J PHYS A, V26, P2061