Entropy production: evolution criteria, robustness and fractal dimension

被引:0
|
作者
Betancourt-Mar, J. A. [1 ]
Rodriguez-Ricard, M. [2 ]
Mansilla, R. [3 ]
Cocho, G. [4 ]
Nieto-Villar, J. M. [1 ,5 ,6 ]
机构
[1] Mexican Inst Complex Syst, Tamaulipas, Mexico
[2] Univ La Habana, Fac Matemat & Comp, Dept Ecuac Diferenciales, Havana 10400, Cuba
[3] Univ Nacl Autonoma Mexico, Ctr Invest Interdisciplinarias Ciencias & Humanid, Mexico City 04510, DF, Mexico
[4] Univ Nacl Autonoma Mexico, Dept Sistemas Complejos, Inst Fis, Mexico City 04510, DF, Mexico
[5] Univ Havana, Fac Chem, MV Lomonosov Chem Div, Dept Chem Phys, Havana 10400, Cuba
[6] Univ Havana, Fac Phys, H Poincare Grp Complex Syst, Havana 10400, Cuba
关键词
Irreversible thermodynamics; complex systems; fractal dimension; CHAOS;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It was proved through Rossler model, where the funnel case is more robust tan spiral chaos, the entropy production per unit time is a Lyapunov's function on the space of the control system parameters. It was established the conjecture of entropy production fractal dimension. The current theoretical framework will hopefully provide a better understanding of the relationship between thermodynamics and nonlinear dynamics and contribute to unify theses through complex systems theory.
引用
收藏
页码:164 / 167
页数:4
相关论文
共 50 条
  • [21] Informational entropy and fractal dimension as criteria of self-organization of fracture systems in fault zones (based on physical modeling results)
    Bornyakov, SA
    Gladkov, AS
    Adamovich, AN
    Matrosov, VA
    Klepikov, VA
    DOKLADY EARTH SCIENCES, 2003, 391 (05) : 766 - 768
  • [22] Entropy Production in a Fractal System with Diffusive Dynamics
    Zola, Rafael S.
    Lenzi, Ervin K.
    da Silva, Luciano R.
    Lenzi, Marcelo K.
    ENTROPY, 2023, 25 (12)
  • [23] Information entropy and fractal dimension as the criteria of self-organization of rupture systems in fault zones (from the data of physical simulation)
    Bornyakov, S.A.
    Gladkov, A.S.
    Adamovich, A.N.
    Matrosov, V.A.
    Klepikov, V.A.
    Doklady Akademii Nauk, 2003, 391 (02) : 250 - 254
  • [24] Diffusion on fractal phase spaces and entropy production
    Lemke, N
    de Almeida, RMC
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 340 (1-3) : 309 - 315
  • [25] The Minkowski dimension and critical effects in fractal evolution of defects
    Cetera, A
    CHAOS SOLITONS & FRACTALS, 2001, 12 (03) : 475 - 482
  • [26] Fractal dimension evolution of microcrack net in disordered materials
    Politecnico di Torino, Torino, Italy
    Theor Appl Fract Mech, 1 (73-81):
  • [27] Evolution of the fractal dimension of granular materials in fragmentation tests
    Bouzeboudja, Aldjia
    Melbouci, Bachir
    Bouzeboudja, Houria
    GRANULAR MATTER, 2022, 24 (02)
  • [28] Evolution of the fractal dimension of granular materials in fragmentation tests
    Aldjia Bouzeboudja
    Bachir Melbouci
    Houria Bouzeboudja
    Granular Matter, 2022, 24
  • [29] Fractal dimension evolution of microcrack net in disordered materials
    Carpinteri, A
    Yang, GP
    THEORETICAL AND APPLIED FRACTURE MECHANICS, 1996, 25 (01) : 73 - 81
  • [30] Grammatical evolution to design fractal curves with a given dimension
    Ortega, A
    Dalhoum, AA
    Alfonseca, M
    IBM JOURNAL OF RESEARCH AND DEVELOPMENT, 2003, 47 (04) : 483 - 493