Mesoscopic description of boundary effects in nanoscale heat transport

• Autorzy: F.X. Àlvarez , V.A. Cimmelli , D. Jou , A. Sellitto
• Języki publikacji: EN

Abstrakty

EN

We review some of the most important phenomena due to the phonon-wall collisions in nonlocal heat transport in nanosystems, and show how they may be described through certain slip boundary conditions in phonon hydrodynamics. Heat conduction in nanowires of different cross sections and in thin layers is analyzed, and the dependence of the thermal conductivity on the geometry, as well as on the roughness is pointed out. We also analyze the effects of the roughness of the surface of the pores on the thermal conductivity of porous silicon. Thermoelectric effects are considered as well. In memory of Professor Carlo Cercignani

Słowa kluczowe

EN

Phonon hydrodynamics; Nanosystems; Phonon-wall collisions; Effective thermal conductivity; Nonlocal heat transport

Kategorie tematyczne

• 44.10.+i: Heat conduction(see also 66.25.+g and 66.70.-f in nonelectronic transport properties of condensed matter)
• 66.70.-f: Nonelectronic thermal conduction and heat-pulse propagation in solids; thermal waves(for electronic thermal conduction in metals and alloys, see 72.15.Cz and 72.15.Eb)
• 05.70.Ln: Nonequilibrium and irreversible thermodynamics(see also 82.40.Bj Oscillations, chaos, and bifurcations in physical chemistry and chemical physics)

• 74A20: Theory of constitutive functions
• 80A20: Heat and mass transfer, heat flow
• 80A17: Thermodynamics of continua

• Wydawca: De Gruyter Open
• Czasopismo: Nanoscale Systems: Mathematical Modeling, Theory and Applications
• Rocznik: 2012
• Tom: 1
• Strony: 112-142

Daty

otrzymano

2012-10-11

poprawiono

2012-12-05

zaakceptowano

2012-12-06

online

2012-12-27

Twórcy

autor

F.X. Àlvarez

• Departament de Física, Universitat Autònoma de Barcelona,
  08193 Bellaterra, Catalonia, Spain

autor

V.A. Cimmelli

• Department of Mathematics, Computer Science and Economics,
  University of Basilicata, Campus Macchia Romana,
  85100 Potenza, Italy

autor

D. Jou

• Departament de Física, Universitat Autònoma de Barcelona,
  08193 Bellaterra, Catalonia, Spain
• Institut d’Estudis Catalans, Carme 47, Barcelona 08001,
  Catalonia, Spain

autor

A. Sellitto

• Department of Mathematics, Computer Science and Economics,
  University of Basilicata, Campus Macchia Romana,
  85100 Potenza, Italy

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Identyfikatory

DOI

10.2478/nsmmt-2012-0008