Powerless fluxes and forces, and change of scale in irreversible thermodynamics

M. Ostoja-Starzewski, A. Zubelewicz

Research output: Contribution to journalArticlepeer-review


We show that the dissipation function of linear processes in continuum thermomechanics may be treated as the average of the statistically fluctuating dissipation rate on either coarse or small spatial scales. The first case involves thermodynamic orthogonality due to Ziegler, while the second one involves powerless forces in a general solution of the Clausius-Duhem inequality according to Poincaré and Edelen. This formulation is demonstrated using the example of parabolic versus hyperbolic heat conduction. The existence of macroscopic powerless heat fluxes is traced here to the hidden dissipative processes at lower temporal and spatial scales.

Original languageEnglish (US)
Article number335002
JournalJournal of Physics A: Mathematical and Theoretical
Issue number33
StatePublished - Aug 19 2011

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


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