Cluster dynamics modelling of materials: A new hybrid deterministic/stochastic coupling approach

被引:14
|
作者
Terrier, Pierre [1 ,2 ]
Athenes, Manuel [2 ]
Jourdan, Thomas [2 ]
Adjanor, Gilles [3 ]
Stoltz, Gabriel [1 ]
机构
[1] Univ Paris Est, CERMICS ENPC, INRIA, F-77455 Marne La Vallee, France
[2] Univ Paris Saclay, CEA, DEN Serv Rech Met Phys, F-91191 Gif Sur Yvette, France
[3] EDF R&D, Dept Mat & Mecan Composants, F-77250 Moret Sur Loing, France
关键词
Cluster dynamics; Fokker-Planck equation; Langevin dynamics; Markov process; Stochastic simulations; RADIATION-DAMAGE; GROUPING METHOD; LARGE NUMBER; EQUATION; NUCLEATION; SIMULATION; ALLOYS;
D O I
10.1016/j.jcp.2017.08.015
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Deterministic simulations of the rate equations governing cluster dynamics in materials are limited by the number of equations to integrate. Stochastic simulations are limited by the high frequency of certain events. We propose a coupling method combining deterministic and stochastic approaches. It allows handling different time scale phenomena for cluster dynamics. This method, based on a splitting of the dynamics, is generic and we highlight two different hybrid deterministic/stochastic methods. These coupling schemes are highly parallelizable and specifically designed to treat large size cluster problems. The proof of concept is made on a simple model of vacancy clustering under thermal ageing. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码:280 / 295
页数:16
相关论文
共 50 条
  • [21] Hybrid deterministic and stochastic approach for efficient atomistic simulations at long time scales
    Tiwary, Pratyush
    van de Walle, Axel
    PHYSICAL REVIEW B, 2011, 84 (10):
  • [22] A hybrid stochastic-deterministic approach to explore multiple infection and evolution in HIV
    Kreger, Jesse H.
    Komarova, Natalia
    Wodarz, Dominik H.
    PLOS COMPUTATIONAL BIOLOGY, 2021, 17 (12)
  • [23] Hybrid stochastic approach for the modelling and analysis of fire safety systems
    Villani, Emilia
    Kaneshiro, Percy Igei
    Miyagi, Paulo Eigi
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (06) : 1123 - 1149
  • [24] Unifying deterministic and stochastic ecological dynamics via a landscape-flux approach
    Xu, Li
    Patterson, Denis
    Staver, Ann Carla
    Levin, Simon Asher
    Wang, Jin
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2021, 118 (24)
  • [25] A hybrid modelling approach for prediction of UCS of rock materials
    Xue, Xinhua
    Wei, Yufeng
    COMPTES RENDUS MECANIQUE, 2020, 348 (03): : 235 - 243
  • [26] Coupling of concurrent macroscopic and microscopic traffic flow models using hybrid stochastic and deterministic disaggregation
    Poschinger, A
    Kates, R
    Keller, H
    TRANSPORTATION AND TRAFFIC THEORY IN THE 21ST CENTURY, 2002, : 583 - 605
  • [27] Joint Deterministic and Stochastic Approach to Cash Balance Modelling: a Cash Model Specification and Verification
    Szpulak, Aleksandra
    Michael, Tomasz
    EUROPEAN FINANCIAL SYSTEM 2016: PROCEEDINGS OF THE 13TH INTERNATIONAL SCIENTIFIC CONFERENCE, 2016, : 808 - 815
  • [28] Coupling crystal plasticity and stochastic cluster dynamics models of irradiation damage in tungsten
    Yu, Qianran
    Chatterjee, Sabyasachi
    Roche, Kenneth J.
    Po, Giacomo
    Marian, Jaime
    MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING, 2021, 29 (05)
  • [29] A stochastic approach to modelling and understanding hillslope runoff connectivity dynamics
    Janzen, Daryl
    McDonnell, Jeffrey J.
    ECOLOGICAL MODELLING, 2015, 298 : 64 - 74
  • [30] New hybrid stochastic-deterministic technique for fast registration of dermatological images
    S. A. Pavlopoulos
    Medical and Biological Engineering and Computing, 2004, 42 : 777 - 786