论文标题
低温差异运动运动热发动机的准线性不可逆热力学
Quasi-linear irreversible thermodynamics of a low-temperature-differential kinematic Stirling heat engine
论文作者
论文摘要
低温差异（LTD）Stirling Heat发动机能够在我们日常生活中存在的低温热储层之间以较小的温度差异操作，因此它们被认为是重要的可持续能源技术。作者最近提出了LTD运动学stirling Heat Engine的非线性动力学模型，以研究发动机的旋转机制[Y. izumida，epl \ textbf {121}，50004（2018）]。本文介绍了我们对该发动机模型的非平衡热力学分析的研究，其中引入了发动机确实工作的负载扭矩。我们证明发动机的旋转状态处于准线性响应方案中，热力学通量显示对热力学力的线性依赖性。值得注意的是，发现准线性关系的响应系数是对称的，它类似于线性不可逆热力学中的onsager对称性。基于这些关系，我们制定了发动机的最大效率。我们还阐明了准线性响应系数的对称性是通过反映了用于均衡状态的发动机弛豫动力学的Onsager动力学系数的（反）互惠来出现的。我们期望本研究为开发被描述为非线性动力学系统的自动热发动机的非平衡热力学铺平了道路。
Low-temperature-differential (LTD) Stirling heat engines are able to operate with a small temperature difference between low-temperature heat reservoirs that exist in our daily lives, and thus they are considered to be an important sustainable energy technology. The author recently proposed a nonlinear dynamics model of an LTD kinematic Stirling heat engine to study the rotational mechanism of the engine [Y. Izumida, EPL \textbf{121}, 50004 (2018)]. This paper presents our study of the nonequilibrium thermodynamics analysis of this engine model, where a load torque against which the engine does work is introduced. We demonstrate that the engine's rotational state is in a quasi-linear response regime where the thermodynamic fluxes show a linear dependency on the thermodynamic forces. Significantly, it is found that the response coefficients of the quasi-linear relations are symmetric, which is similar to Onsager symmetry in linear irreversible thermodynamics. Based on these relations, we formulate the maximum efficiency of the engine. We also elucidate that the symmetry of the quasi-linear response coefficients emerges by reflecting the (anti-)reciprocity of the Onsager kinetic coefficients identified for the relaxation dynamics of the engine in the vicinity of an equilibrium state. We expect that the present study paves the way for developing nonequilibrium thermodynamics of autonomous heat engines described as a nonlinear dynamical system.
