ON GLOBAL MINIMIZERS FOR A VARIATIONAL PROBLEM WITH LONG-RANGE INTERACTIONS

被引：13
作者：
Choksi, Rustum [1 ]
机构：
[1] McGill Univ, Dept Math & Stat, Montreal, PQ, Canada
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2012年 / 70卷 / 03期
关键词：
Global minimizers; long-range interactions; diblock copolymers; DIBLOCK COPOLYMER PROBLEM; VOLUME-FRACTION LIMIT; MICROPHASE SEPARATION; PHASE-DIAGRAM; ISOPERIMETRIC PROBLEM; GAMMA-CONVERGENCE; UNIFORM ENERGY; GENERAL-THEORY; STABILITY; PATTERNS;
D O I：
10.1090/S0033-569X-2012-01316-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Energy-driven pattern formation induced by competing short and long-range interactions is common in many physical systems. In these proceedings we report on certain rigorous asymptotic results concerning global minimizers of a nonlocal perturbation to the well-known Ginzburg-Landau/Cahn-Hilliard free energy. We also discuss two hybrid numerical methods for accessing the ground states of these functionals.
引用
收藏
页码：517 / 537
页数：21
相关论文
共 50 条
  • [31] On global minimizers for a mass constrained problem
    Jeanjean, Louis
    Lu, Sheng-Sen
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 61 (06)
  • [32] Epidemic spreading in networks with nonrandom long-range interactions
    Estrada, Ernesto
    Kalala-Mutombo, Franck
    Valverde-Colmeiro, Alba
    PHYSICAL REVIEW E, 2011, 84 (03)
  • [33] RADIATIVE TRANSFER WITH LONG-RANGE INTERACTIONS: REGULARITY AND ASYMPTOTICS
    Gomez, Christophe
    Pinaud, Olivier
    Ryzhik, Lenya
    MULTISCALE MODELING & SIMULATION, 2017, 15 (02) : 1048 - 1072
  • [34] Nonequilibrium statistical mechanics of systems with long-range interactions
    Levin, Yan
    Pakter, Renato
    Rizzato, Felipe B.
    Teles, Tarcisio N.
    Benetti, Fernanda P. C.
    PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2014, 535 (01): : 1 - 60
  • [35] THE VLASOV-POISSON-BOLTZMANN SYSTEM NEAR MAXWELLIANS FOR LONG-RANGE INTERACTIONS
    Wang, Lusheng
    Xiao, Qinghua
    Xiong, Linjie
    Zhao, Huijiang
    ACTA MATHEMATICA SCIENTIA, 2016, 36 (04) : 1049 - 1097
  • [36] Nonergodicity and central limit behavior for systems with long-range interactions
    Pluchino, Alessandro
    Rapisarda, Andrea
    COMPLEX SYSTEMS II, 2008, 6802
  • [37] Large deviation techniques applied to systems with long-range interactions
    Barré, J
    Bouchet, F
    Dauxois, T
    Ruffo, S
    JOURNAL OF STATISTICAL PHYSICS, 2005, 119 (3-4) : 677 - 713
  • [38] Phase diagram in the quantum XY model with long-range interactions
    J. R. de Sousa
    The European Physical Journal B - Condensed Matter and Complex Systems, 2005, 43 : 93 - 96
  • [39] The one-dimensional XXZ model with long-range interactions
    Gonçalves, LL
    Vieira, AP
    Coutinho, LPS
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2001, 226 : 601 - 602
  • [40] Statistical mechanics and dynamics of solvable models with long-range interactions
    Campa, Alessandro
    Dauxois, Thierry
    Ruffo, Stefano
    PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2009, 480 (3-6): : 57 - 159
12345