On an exact solution of master equations for the model of reversible growth

被引:5
|
作者
Dubrovsky, VG
机构
[1] Institute of Analytical Engineering, Russian Academy of Science, St. Petersburg
关键词
D O I
10.1007/BF02070679
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The set of master equations for the monomer quasi-chemical reversible-growth model in a heterogeneous open medium material is studied. The exact solution to the master equations is obtained for the case where the velocity constants for the growth and decay reactions are linear in the particle number. It is shown that the model under consideration is canonically invariant w.r.t. the Polya distribution with a time-dependent mean size of the clusters.
引用
收藏
页码:1110 / 1118
页数:9
相关论文
共 50 条
  • [1] EXACT SOLUTION OF THE EXCITON MODEL MASTER EQUATIONS FOR NUCLEAR-REACTIONS
    GUPTA, SK
    CHATTERJEE, A
    [J]. BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1979, 24 (07): : 885 - 885
  • [2] ON EXACT MASTER EQUATIONS
    FULINSKI, A
    KRAMARCZYK, WJ
    [J]. PHYSICA, 1968, 39 (04): : 575 - +
  • [3] EXACT AND ASYMPTOTIC MASTER EQUATIONS
    PYTTE, A
    [J]. PHYSICS OF FLUIDS, 1968, 11 (03) : 522 - &
  • [4] EXACT SOLUTION OF MASTER-EQUATIONS FOR A SIMPLE-MODEL OF SELF-ORGANIZED BIOLOGICAL EVOLUTION
    PISMAK, YM
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (11): : 3109 - 3115
  • [5] SOLUTION OF FRIEDRICHS MODEL THROUGH EXACT MARKOVIAN MASTER EQUATION
    FRANKOWICZ, M
    JEDRZEJEK, C
    [J]. ACTA PHYSICA POLONICA A, 1978, 54 (02) : 123 - 130
  • [6] Limitations on the utility of exact master equations
    Ford, GW
    O'Connell, RF
    [J]. ANNALS OF PHYSICS, 2005, 319 (02) : 348 - 363
  • [7] EXACT SOLUTION OF LIFSHITZ EQUATIONS GOVERNING GROWTH OF FLUCTUATIONS IN COSMOLOGY
    ADAMS, PJ
    CANUTO, V
    [J]. PHYSICAL REVIEW D, 1975, 12 (12): : 3793 - 3799
  • [8] SOLUTION OF MARKOVIAN MASTER EQUATIONS
    GORTZ, R
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1976, 9 (07): : 1089 - 1092
  • [9] GENERALIZED MASTER EQUATIONS EXACT IN BORN APPROXIMATION
    BONIFACIO, R
    LUGIATO, LA
    [J]. LETTERE AL NUOVO CIMENTO, 1975, 14 (14): : 532 - 536
  • [10] Exact quantum master equations for Markoffian systems
    Stefanescu, E
    Sterian, P
    [J]. OPTICAL ENGINEERING, 1996, 35 (06) : 1573 - 1575