Towards continuum mechanics with spontaneous violations of the second law of thermodynamics

Martin Ostoja-Starzewski, Bharath V. Raghavan

Research output: Chapter in Book/Report/Conference proceedingChapter


As dictated by modern statistical physics, the second law is to be replaced by the fluctuation theorem (FT) on very small length and/or time scales. This means that the deterministic continuum thermomechanics must be generalized to a stochastic theory allowing randomly spontaneous violations of the Clausius-Duhem inequality to take place anywhere in the material domain. This paper outlines a formulation of stochastic continuum thermomechanics, where the entropy evolves as a submartingale while the dissipation function is consistent with the FT. A summary is then given of the behavior of an atomic fluid in Couette flow, studied using a combination of kinetic theory, hydrodynamic theory, and molecular dynamics. Overall, the developed framework may be applied in many fields involving fluid flow and heat conduction on very small spatial scales.

Original languageEnglish (US)
Title of host publicationAdvanced Structured Materials
Number of pages8
StatePublished - 2018

Publication series

NameAdvanced Structured Materials
ISSN (Print)1869-8433
ISSN (Electronic)1869-8441

ASJC Scopus subject areas

  • General Materials Science


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