随机Conway生命游戏中的热力学

IF 1.9 Q3 PHYSICS, CONDENSED MATTER
K. Pomorski, Dariusz Kotula
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引用次数: 2

摘要

元胞自动机可以利用简单规则的力量模拟许多复杂的物理现象。所提出的方法论平台表达了可编程物质的概念,牛顿运动定律就是其中的一个例子。能量被引入为“生命游戏”质量的等价物,可以被视为第一级近似。使用香农熵测度计算了各种晶格拓扑和边界条件下的温度存在和传播。这项研究提供了强有力的证据,表明尽管质量和能量守恒原理没有得到满足,熵、质量分布和温度都接近热力学平衡。此外,所描述的元胞自动机系统从正温度转变为负温度,这是稳定的,并且可以被视为处于平衡状态的系统的特征。给出了几种细胞自动机在不同边界条件下竞争给定格上最大存在性的系统动力学。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Thermodynamics in Stochastic Conway’s Game of Life
Cellular automata can simulate many complex physical phenomena using the power of simple rules. The presented methodological platform expresses the concept of programmable matter, of which Newton’s laws of motion are an example. Energy is introduced as the equivalent of the “Game of Life” mass, which can be treated as the first level of approximation. The temperature presence and propagation was calculated for various lattice topologies and boundary conditions, using the Shannon entropy measure. This study provides strong evidence that, despite the principle of mass and energy conservation not being fulfilled, the entropy, mass distribution, and temperature approach thermodynamic equilibrium. In addition, the described cellular automaton system transitions from a positive to a negative temperature, which stabilizes and can be treated as a signature of a system in equilibrium. The system dynamics is presented for a few species of cellular automata competing for maximum presence on a given lattice with different boundary conditions.
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来源期刊
Condensed Matter
Condensed Matter PHYSICS, CONDENSED MATTER-
CiteScore
2.90
自引率
11.80%
发文量
58
审稿时长
10 weeks
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