论文标题
具有多级大差异结构的随机种群过程的内在和外在热力学
Intrinsic and extrinsic thermodynamics for stochastic population processes with multi-level large-deviation structure
论文作者
论文摘要
一组核心特征被列出为热力学描述的本质,该特征源自具有时间尺度层次结构的系统中的大差异特性,但它们取决于\ emph {not},取决于托管过程中的底物中的保护定律或显微镜的可逆性。最基本的要素是与大差熵有关的宏观材料的概念,以及对相互作用子系统之间对不可逆性的贡献的分解,这是对经典和随机热力学中热概念的依赖的起源。自然的分解显示为相对熵和管家熵率,该距离分别定义了系统的\ textIt {密集}热力学和\ textIt {广泛}的热力学载体将系统嵌入系统的上下文中。密集和广泛的组件都是瞬时系统固定状态的Hartley信息的功能,该信息是信息\ emph {abion}系统过程对其对不可逆性的贡献的关节效应。结果是针对随机化学反应网络得出的,其中包括对管家熵率的legendre二元性,以热力学地表征与详细体重相反的限制的均等基础上完全反抗的过程。这项工作旨在鼓励针对基于规则的系统和生活状态开发固有的热力学描述,这些描述并非被认为是对热流的还原性解释。
A set of core features is set forth as the essence of a thermodynamic description, which derive from large-deviation properties in systems with hierarchies of timescales, but which are \emph{not} dependent upon conservation laws or microscopic reversibility in the substrate hosting the process. The most fundamental elements are the concept of a macrostate in relation to the large-deviation entropy, and the decomposition of contributions to irreversibility among interacting subsystems, which is the origin of the dependence on a concept of heat in both classical and stochastic thermodynamics. A natural decomposition is shown to exist, into a relative entropy and a housekeeping entropy rate, which define respectively the \textit{intensive} thermodynamics of a system and an \textit{extensive} thermodynamic vector embedding the system in its context. Both intensive and extensive components are functions of Hartley information of the momentary system stationary state, which is information \emph{about} the joint effect of system processes on its contribution to irreversibility. Results are derived for stochastic Chemical Reaction Networks, including a Legendre duality for the housekeeping entropy rate to thermodynamically characterize fully-irreversible processes on an equal footing with those at the opposite limit of detailed-balance. The work is meant to encourage development of inherent thermodynamic descriptions for rule-based systems and the living state, which are not conceived as reductive explanations to heat flows.