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arXiv 0810.3410cond-mat.stat-mech
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确定性恒温器相空间中的不可穿透屏障

Impenetrable Barriers in Phase Space for Deterministic Thermostats

Gregory S. Ezra, Stephen Wiggins

摘要:

研究了哈密顿定常恒温器和非哈密顿定常恒温器的相空间结构之间的关系。我们表明,在哈密顿系统的反应动力学相空间结构映射到相同类型的相空间结构的非哈密顿等速运动方程的恒温哈密顿。我们的研究结果建立了一个框架,用于分析恒温器动态使用的概念和方法,在反应速率理论。

英文摘要:

We investigate the relation between the phase space structure of Hamiltonian and non-Hamiltonian deterministic thermostats. We show that phase space structures governing reaction dynamics in Hamiltonian systems map to the same type of phase space structures for the non-Hamiltonian isokinetic equations of motion for the thermostatted Hamiltonian. Our results establish a framework for analyzing thermostat dynamics using concepts and methods developed in reaction rate theory.

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