Cooperative sequential adsorption models on a Cayley tree: analytical results and applications

被引：5
|
作者：
Mazilu, D. A. [1 ]
Mazilu, I. [1 ]
Seredinski, A. M. [1 ]
Kim, V. O. [1 ]
Simpson, B. M. [1 ]
Banks, W. E. [1 ]
机构：
[1] Washington & Lee Univ, Dept Phys & Engn, Lexington, VA 24450 USA
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2012年
基金：
美国国家科学基金会;
关键词：
solvable lattice models; stochastic particle dynamics (theory); thin film deposition (theory); pattern formation (theory); FILMS;
D O I：
10.1088/1742-5468/2012/09/P09002
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We present a class of cooperative sequential adsorption models on a Cayley tree with constant and variable attachment rates and their possible applications for ionic self-assembly of thin films and drug encapsulation of nanoparticles. Using the empty interval method, and generalizing results known from reaction diffusion processes on Cayley trees, we calculate a variety of quantities such as time-dependent surface coverage and time-dependent probabilities of certain particle configurations.
引用
收藏
页数：22
相关论文
共 50 条
  • [1] Probabilistic Models Motivated by Cooperative Sequential Adsorption
    Shcherbakov, Vadim
    [J]. MARKOV PROCESSES AND RELATED FIELDS, 2023, 29 (04)
  • [2] Autonomous models on a Cayley tree
    Khorrami, Mohammad
    Aghamohammadi, Amir
    [J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2014,
  • [3] MODELS OF CLUSTER GROWTH ON THE CAYLEY TREE
    VANNIMENUS, J
    NICKEL, B
    HAKIM, V
    [J]. PHYSICAL REVIEW B, 1984, 30 (01) : 391 - 399
  • [4] RANDOM AND COOPERATIVE SEQUENTIAL ADSORPTION
    EVANS, JW
    [J]. REVIEWS OF MODERN PHYSICS, 1993, 65 (04) : 1281 - 1329
  • [5] Multilayer Cooperative Sequential Adsorption
    E. K. O. Hellén
    P. Szelestey
    M. J. Alava
    [J]. Journal of Statistical Physics, 2000, 98 : 265 - 280
  • [6] Multilayer cooperative sequential adsorption
    Hellén, EKO
    Szelestey, P
    Alava, MJ
    [J]. JOURNAL OF STATISTICAL PHYSICS, 2000, 98 (1-2) : 265 - 280
  • [7] Lattice Models on Cayley Tree with Competing Interactions
    Ganikhodjaev, Nasir
    Rodzhan, Mohd Hirzie Bin Mohd
    [J]. JURNAL FIZIK MALAYSIA, 2018, 39 (02): : 20041 - 20049
  • [8] On unordered phases of certain models on a Cayley tree
    Ganikhodzhaev, NN
    Rozikov, UA
    [J]. SBORNIK MATHEMATICS, 1999, 190 (1-2) : 193 - 203
  • [9] Gibbs measures for SOS models on a Cayley tree
    Rozikov, U. A.
    Suhov, Y. M.
    [J]. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2006, 9 (03) : 471 - 488
  • [10] Cooperative sequential adsorption on heterogeneous substrates
    Ciacera, M
    Zgrablich, G
    [J]. SURFACES, VACUUM, AND THEIR APPLICATIONS, 1996, (378): : 593 - 596
12345