Lattice Boltzmann simulation for the energy and entropy of excitable systems |
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| Authors: | Deng Min-Yi Tang Guo-Ning Kong Ling-Jiang and Liu Mu-Ren |
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| Affiliation: | College of Physics and Technology, Guangxi Normal University, Guilin 541004, China; College of Physics and Electronic Engineering, Guangxi Teachers Education University, Nanning 530001, China |
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| 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. |
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| Keywords: | lattice Boltzmann method energy entropy spiral wave |
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