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SUMMARY:Umberto Zerbinati
DTSTART:20251112T080000Z
DTEND:20251112T090000Z
DTSTAMP:20260422T122105Z
UID:MathMAC/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathMAC/43/"
 >A Kinetic Interpretation of Thermochemical Restrictions of Continua</a>\n
 by Umberto Zerbinati as part of Modelling of materials - theory\, model re
 duction and efficient numerical methods (UNCE MathMAC)\n\n\nAbstract\nIn t
 heir seminal work\, Rajagopal and Srinivasa established how the second law
  of thermodynamics\, expressed through the Clausius–Duhem inequality\, i
 mposes powerful restrictions on the constitutive equations of continua\, o
 ften allowing one to determine the constitutive relations of a material. T
 his talk explores a kinetic interpretation of such thermochemical restrict
 ions. The analysis of the entropy balance naturally yields a kinetic analo
 gue of the Clausius–Duhem inequality\, while the H-theorem provides a mi
 croscopic justification of the second law. In the hydrodynamic limit\, a C
 hapman–Enskog expansion demonstrates how the classical constitutive rela
 tions of continuum mechanics—such as the Euler equations and the ideal g
 as law—arise as zeroth-order approximations that maximize entropy produc
 tion. We hope that this kinetic perspective offers a new interpretation of
  the thermomechanical restrictions introduced by Rajagopal and collaborato
 rs\, clarifying their origin within the statistical description of particl
 e systems.\n
LOCATION:https://researchseminars.org/talk/MathMAC/43/
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