中国物理B ›› 2011, Vol. 20 ›› Issue (2): 20510-020510.doi: 10.1088/1674-1056/20/2/020510

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Lattice Boltzmann simulation for the energy and entropy of excitable systems

刘慕仁1, 邓敏艺2, 唐国宁2, 孔令江2   

  1. (1)College of Physics and Electronic Engineering, Guangxi Teachers Education University, Nanning 530001, China; (2)College of Physics and Technology, Guangxi Normal University, Guilin 541004, China
  • 收稿日期:2010-03-01 修回日期:2010-10-21 出版日期:2011-02-15 发布日期:2011-02-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10765002, 10562001 and 81060307).

Lattice Boltzmann simulation for the energy and entropy of excitable systems

Deng Min-Yi(邓敏艺)a)†,Tang Guo-Ning(唐国宁)a), Kong Ling-Jiang(孔令江)a),and Liu Mu-Ren(刘慕仁) b)   

  1. a College of Physics and Technology, Guangxi Normal University, Guilin 541004, China; b College of Physics and Electronic Engineering, Guangxi Teachers Education University, Nanning 530001, China
  • Received:2010-03-01 Revised:2010-10-21 Online:2011-02-15 Published:2011-02-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10765002, 10562001 and 81060307).

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摘要： The internal energy and the spatiotemporal entropy of excitable systems are investigated with the lattice Boltzmann method. The numerical results show that the breakup of spiral wave is attributed to the inadequate supply of energy, i.e., the internal energy of system is smaller than the energy of self-sustained spiral wave. It is observed that the average internal energy of a regular wave state reduces with its spatiotemporal entropy decreasing. Interestingly, although the energy difference between two regular wave states is very small, the different states can be distinguished obviously due to the large difference between their spatiotemporal entropies. In addition, when the unstable spiral wave converts into the spatiotemporal chaos, the internal energy of system decreases, while the spatiotemporal entropy increases, which behaves as the thermodynamic entropy in an isolated system.

关键词: lattice Boltzmann method, energy, entropy, spiral wave

Abstract: The internal energy and the spatiotemporal entropy of excitable systems are investigated with the lattice Boltzmann method. The numerical results show that the breakup of spiral wave is attributed to the inadequate supply of energy, i.e., the internal energy of system is smaller than the energy of self-sustained spiral wave. It is observed that the average internal energy of a regular wave state reduces with its spatiotemporal entropy decreasing. Interestingly, although the energy difference between two regular wave states is very small, the different states can be distinguished obviously due to the large difference between their spatiotemporal entropies. In addition, when the unstable spiral wave converts into the spatiotemporal chaos, the internal energy of system decreases, while the spatiotemporal entropy increases, which behaves as the thermodynamic entropy in an isolated system.

Key words: lattice Boltzmann method, energy, entropy, spiral wave

中图分类号:  (Lattice theory and statistics)

  • 05.50.+q
05.10.-a (Computational methods in statistical physics and nonlinear dynamics) 05.45.-a (Nonlinear dynamics and chaos)