论文标题
意见动态的随机热力学
Stochastic thermodynamics of opinion dynamics
论文作者
论文摘要
我们表明，可以在随机热力学中构建舆论形成和传播模型，从中我们可以从中构建一个无序的舆论动力学热力学。这是通过分解将意见模型定义为两个或多个过渡速率的原始过渡速率来实现的，每个过渡速率代表在不同温度下与热储层的接触，并假设能量函数。由于温度是不同的，即使在固定状态下也存在热通量，并且与熵的产生有关，熵的产生是非平衡状态的基本数量。我们将目前的框架应用于一个通用票据模型，包括方形晶格和立方晶格中的多数投票模型。通量和熵产生速率是通过数值模拟和使用对近似来计算的。
We show that models of opinion formation and dissemination in a community of individuals can be framed within stochastic thermodynamics from which we can build a nonequilibrium thermodynamics of opinion dynamics. This is accomplished by decomposing the original transition rate that defines an opinion model into two or more transition rates, each representing the contact with heat reservoirs at different temperatures, and postulating an energy function. As the temperatures are distinct, heat fluxes are present even at the stationary state and linked to the production of entropy, the fundamental quantity that characterizes nonequilibrium states. We apply the present framework to a generic-vote model including the majority-vote model in a square lattice and in a cubic lattice. The fluxes and the rate of entropy production are calculated by numerical simulation and by the use of a pair approximation.
