TY - JOUR
T1 - Continuum mechanics versus violations of the second law of thermodynamics
AU - Ostoja-Starzewski, Martin
AU - Venkatesh Raghavan, Bharath
N1 - Publisher Copyright:
© 2016, Copyright © Taylor & Francis Group, LLC.
PY - 2016/6/2
Y1 - 2016/6/2
N2 - Spontaneous, random violations of the second law become relevant as the length and/or timescales become very small. Modern statistical physics tells us that the second law then needs to be replaced by the fluctuation theorem and, mathematically, the irreversible entropy evolves as a submartingale. This is illustrated on the Couette flow of a molecular fluid. On the continuum level, such phenomena lead to a framework of thermomechanics relying on stochastic (rather than deterministic) functionals of energy and entropy, which are applied in heat diffusion and thermoelasticity settings. Counterintuitive thermomechanical behaviors are also discussed in (1) the evolution of acceleration wavefronts of nanoscale thickness and (2) the fluid mechanics which has to enter a permeability model of a poroelastic medium with nanoscale pores.
AB - Spontaneous, random violations of the second law become relevant as the length and/or timescales become very small. Modern statistical physics tells us that the second law then needs to be replaced by the fluctuation theorem and, mathematically, the irreversible entropy evolves as a submartingale. This is illustrated on the Couette flow of a molecular fluid. On the continuum level, such phenomena lead to a framework of thermomechanics relying on stochastic (rather than deterministic) functionals of energy and entropy, which are applied in heat diffusion and thermoelasticity settings. Counterintuitive thermomechanical behaviors are also discussed in (1) the evolution of acceleration wavefronts of nanoscale thickness and (2) the fluid mechanics which has to enter a permeability model of a poroelastic medium with nanoscale pores.
KW - Continuum thermomechanics
KW - dissipation
KW - fluctuation theorem
KW - second law violations
KW - submartingale
KW - wavefront
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U2 - 10.1080/01495739.2016.1169140
DO - 10.1080/01495739.2016.1169140
M3 - Article
AN - SCOPUS:84975767855
SN - 0149-5739
VL - 39
SP - 734
EP - 749
JO - Journal of Thermal Stresses
JF - Journal of Thermal Stresses
IS - 6
ER -