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Conservative and dissipative phenomena in thermodynamical systems stability

机译：热力学系统稳定性的保守和耗散现象

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Abstract: The entropy production of thermodynamical systems with reversible (conservative) and irreversible (dissipative) phenomena is used as a Lyapunov candidate function to address stability properties. First, based on the conjugated variables of the extensive properties, the dissipative and conservative phenomena are identified, then, the dynamic behavior of entropy production is obtained. Based on the properties of the entropy function Hessian, it is found that dissipative phenomena contribute to stability and attraction of the thermodynamical equilibrium. In particular, when only dissipative phenomena are present, the entropy production is a Lyapunov function that guarantees global or local stability, depending on the nonlinearities. Complex behaviors, for instance transitory increments of the entropy production, are due to both conservative phenomena and, far from equilibrium, non linearities of dissipative phenomena. Finally, a case study consisting in a gas-piston system is presented to illustrate these ideas.
机译：摘要：具有可逆（保守）和不可逆（耗散）现象的热力学系统的熵产生被用作Lyapunov候选函数，以解决稳定性问题。首先，基于广义性质的共轭变量，确定了耗散和保守现象，然后获得了熵产生的动态行为。基于熵函数Hessian的性质，发现耗散现象有助于热力学平衡的稳定性和吸引力。特别是，当仅存在耗散现象时，取决于非线性，熵产生是一个Lyapunov函数，可以保证全局或局部稳定性。复杂的行为，例如熵产生的瞬时增量，是由于既有保守现象，又有远非均衡的，耗散现象的非线性所致。最后，提出了一个由气体-活塞系统组成的案例研究来说明这些想法。

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