有哪些信誉好的足球投注网站temporal asymmetry, entropic irreversibility, and finite-time thermodynamics from parmenides–einstein time-reversal symmetry to the heraclitan entropic arrow of time时间不对称,热力学熵的不可逆性,限定时间从逆时对称parmenides-einstein heraclitan熵的时间之箭.pdfVIP
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temporal asymmetry, entropic irreversibility, and finite-time thermodynamics from parmenides–einstein time-reversal symmetry to the heraclitan entropic arrow of time时间不对称,热力学熵的不可逆性,限定时间从逆时对称parmenides-einstein heraclitan熵的时间之箭
Entropy 2012, 14, 407-455; doi:10.3390/ OPEN ACCESS entropy ISSN 1099-4300 /journal/entropy Article Temporal Asymmetry, Entropic Irreversibility, and Finite-Time Thermodynamics: From Parmenides–Einstein Time-Reversal Symmetry to the Heraclitan Entropic Arrow of Time Wassim M. Haddad The School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA; E-Mail: wm.haddad@; Tel.: +1-404-894-1078; Fax: +1-404-894-2760 Received: 3 February 2012 / Accepted: 17 February 2012 / Published: 28 February 2012 Abstract: In this paper, we combine the two universalisms of thermodynamics and dynamical systems theory to develop a dynamical system formalism for classical thermodynamics. Specifically, using a compartmental dynamical system energy flow model we develop a state-space dynamical system model that captures the key aspects of thermodynamics, including its fundamental laws. In addition, we establish the existence of a unique, continuously differentiable global entropy function for our dynamical system model, and using Lyapunov stability theory we show that the proposed thermodynamic model has finite-time convergent trajectories to Lyapunov stable equilibria determined by the system initial energies. Finally, using the system entropy, we establish the absence ´ of Poincare recurrence for our thermodynamic model and develop clear and rigorous connections between irreversibili
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