AN EXACT SOLUTION OF THE DISCRETE SMOLUCHOWSKI EQUATION AND ITS CORRESPONDENCE TO THE SOLUTION OF THE CONTINUOUS EQUATION

被引：14
|
作者：
TREAT, RP
机构：
[1] Dept. of Phys., West Virginia Univ., Morgantown, WV
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 13期
关键词：
D O I：
10.1088/0305-4470/23/13/035
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
An exact, general solution of the discrete Smoluchowski equation for the kernel Kk,=A+B(k+j) is derived. Rules are given for taking the continuous limit of the discrete solution. The limit obtained is an exact, general solution of the continuous Smoluchowski equation. Examples of limits are given for specific initial distributions for the case of constant kernel.
引用
收藏
页码：3003 / 3016
页数：14
相关论文
共 50 条
  • [21] Exact solution of the Schrodinger equation
    Nilsson, Boerje
    Khrennikov, Andrei
    QUANTUM THEORY: RECONSIDERATION OF FOUNDATIONS - 4, 2007, 962 : 302 - 306
  • [22] New groundwater flow equation with its exact solution
    Atangana, A.
    Unlu, C.
    SCIENTIA IRANICA, 2016, 23 (04) : 1837 - 1843
  • [23] Exact solution of the biharmonic integral equation and its applications
    Fabrikant, VI
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2001, 81 (05): : 325 - 336
  • [24] Analytical Solution of Smoluchowski Equation in Harmonic Oscillator Potential
    SUN Xiao-Jun
    LU Xiao-Xia
    VAN Yu-Liang
    DUAN Jun-Feng
    ZHANG Jing-Shang China Institute of Atomic Energy
    Communications in Theoretical Physics, 2005, 43 (06) : 1099 - 1104
  • [25] Solution of a separable Smoluchowski equation in one spatial dimension
    Klik, I
    Yao, YD
    PHYSICAL REVIEW E, 2000, 62 (03): : 4469 - 4472
  • [26] Analytical solution of Smoluchowski equation in harmonic oscillator potential
    Sun, XJ
    Lu, XX
    Yan, YL
    Duan, JF
    Zhang, JS
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 43 (06) : 1099 - 1104
  • [27] Numerical solution of homogeneous Smoluchowski's coagulation equation
    Ranjbar, Mojtaba
    Adibi, Hojatollah
    Lakestani, Mehrdad
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (09) : 2113 - 2122
  • [28] ON AN ASYMPTOTIC SOLUTION OF SMOLUCHOWSKI DIFFUSION EQUATION IN POTENTIAL FIELDS
    DAS, AK
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1984, 79 (01): : 110 - 124
  • [29] Numerical solution of the Smoluchowski equation for a vibrofluidized granular bed
    Wildman, RD
    Huntley, JM
    Hansen, JP
    Parker, DJ
    PHYSICAL REVIEW E, 2001, 64 (05):
  • [30] PERTURBATION SOLUTION OF ONE PARTICLE GENERALIZED SMOLUCHOWSKI EQUATION
    HARRIS, S
    JOURNAL OF CHEMICAL PHYSICS, 1976, 65 (12): : 5408 - 5412
12345