Admitting spontaneous violations of the Second Law in continuum thermomechanics

Research output: Contribution to journalArticle

Abstract

We survey new extensions of continuum mechanics incorporating spontaneous violations of the Second Law (SL), which involve the viscous flow and heat conduction. First, following an account of the Fluctuation Theorem (FT) of statistical mechanics that generalizes the SL, the irreversible entropy is shown to evolve as a submartingale. Next, a stochastic thermomechanics is formulated consistent with the FT, which, according to a revision of classical axioms of continuum mechanics, must be set up on random fields. This development leads to a reformulation of thermoviscous fluids and inelastic solids. These two unconventional constitutive behaviors may jointly occur in nano-poromechanics.

Original languageEnglish (US)
Article number78
JournalEntropy
Volume19
Issue number2
DOIs
StatePublished - Feb 21 2017

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continuum mechanics
theorems
continuums
thermodynamics
viscous flow
axioms
statistical mechanics
conductive heat transfer
entropy
conduction
fluids

Keywords

  • Continuum mechanics
  • Fluctuation theorem
  • Second law violations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Admitting spontaneous violations of the Second Law in continuum thermomechanics. / Ostoja-Starzewski, Martin.

In: Entropy, Vol. 19, No. 2, 78, 21.02.2017.

Research output: Contribution to journalArticle

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