On local Hamiltonians and dissipative systems

被引：3
|
作者：
Castagnino, M.
Gadella, M.
Lara, L. P.
机构：
[1] Univ Valladolid, Fac Ciencias, Dept Fis Teor, E-47011 Valladolid, Spain
[2] Consejo Nacl Invest Cient & Tecn, Inst Fis Rosario & Astron & Fis Espacio, RA-1428 Buenos Aires, DF, Argentina
[3] UNR, Fac Ciencias Exactas Ingn & Agrimensura, Rosario, Argentina
来源：
CHAOS SOLITONS & FRACTALS | 2006年 / 30卷 / 03期
关键词：
D O I：
10.1016/j.chaos.2006.03.094
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a type of one-dimensional dynamical systems on the corresponding two-dimensional phase space. By using arguments related to the existence of integrating factors for Pfaff equations, we show that some one-dimensional non-Hamiltonian systems like dissipative systems, admit a Hamiltonian description by sectors on the phase plane. This picture is not uniquely defined and is coordinate dependent. A simple example is exhaustively discussed. The method, is not always applicable to systems with higher dimensions. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：542 / 551
页数：10
相关论文
共 50 条
  • [31] DISSIPATIVE SYSTEMS
    NICOLIS, G
    [J]. REPORTS ON PROGRESS IN PHYSICS, 1986, 49 (08) : 873 - 949
  • [32] LOCAL (CLASSICAL) AND GLOBAL BIFURCATIONS IN NONLINEAR, NONGRADIENT AUTONOMOUS DISSIPATIVE STRUCTURAL SYSTEMS
    KOUNADIS, AN
    SIMITSES, GJ
    [J]. JOURNAL OF SOUND AND VIBRATION, 1993, 160 (03) : 417 - 432
  • [33] Phase space theory for open quantum systems with local and collective dissipative processes
    Merkel, Konrad
    Link, Valentin
    Luoma, Kimmo
    Strunz, Walter T.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2021, 54 (03)
  • [34] INSTABILITY OF A LOCAL DISSIPATIVE EQUILIBRIUM
    SALEEM, H
    YU, MY
    [J]. PHYSICA SCRIPTA, 1993, 47 (01): : 109 - 110
  • [35] LOCAL HAMILTONIANS FOR INTEGRABLE QUANTUM MODELS ON A LATTICE
    TARASOV, VO
    TAKHTADZHYAN, LA
    FADDEEV, LD
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 1983, 57 (02) : 1059 - 1073
  • [36] Quantum noise generated by local random Hamiltonians
    Markiewicz, Marcin
    Puchala, Zbigniew
    de Rosier, Anna
    Laskowski, Wieslaw
    Zyczkowski, Karol
    [J]. PHYSICAL REVIEW A, 2017, 95 (03)
  • [37] NON-LOCAL INTERACTIONS IN RENORMALIZED HAMILTONIANS
    Glazek, Stanislaw D.
    [J]. ACTA PHYSICA POLONICA B, 2010, 41 (12): : 2669 - 2683
  • [38] PEPS as unique ground states of local Hamiltonians
    Perez-Garcia, D.
    Verstraete, F.
    Wolf, M. M.
    Cirac, J. I.
    [J]. QUANTUM INFORMATION & COMPUTATION, 2008, 8 (6-7) : 650 - 663
  • [39] Universal eigenstate entanglement of chaotic local Hamiltonians
    Huang, Yichen
    [J]. NUCLEAR PHYSICS B, 2019, 938 : 594 - 604
  • [40] MODEL HAMILTONIANS FOR LOCAL QUANTUM FIELD THEORY
    WILSON, KG
    [J]. PHYSICAL REVIEW, 1965, 140 (2B): : B445 - &
12345