Temporal asymmetry, entropic irreversibility, and finite-time thermodynamics: From parmenides-einstein time-reversal symmetry to the heraclitan entropic arrow of time

Entropy

Volumn 14, Issue 3, 2012, Pages 407-455

  Haddad, Wassim M ^a  

^a Georgia Institute of Technology   (United States)

Author keywords

Arrow of time; Energy; Entropy; Finite time semistability; Interconnected systems; Irreversibility; Poincar recurrence; Relativistic thermodynamics; State space formalism

Indexed keywords

EID: 84861131285     PISSN: None     EISSN: 10994300     Source Type: Journal    
DOI: 10.3390/e14030407     Document Type: Article

References (51)

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39. +.
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42. It can be argued here that a more appropriate terminology is assumptions rather than axioms since, as will be seen, these are statements taken to be true and used as premises in order to infer certain results, but may not otherwise be accepted. However, as we will see, these statements are equivalent (within our formulation) to the stipulated postulates of the zeroth and second laws of thermodynamics involving transitivity of a thermal equilibrium and heat flowing from hotter to colder bodies, and as such we refer to them as axioms.
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51. The differential operator notation in ν(x) is standard differential geometric notation used to write coordinate expressions for vector fields. This notation is based on the fact that there is a one-to-one correspondence between first-order linear differential operators on real-valued functions and vector fields.