Nonlocal and nonlinear effects in hyperbolic heat transfer in a two-temperature model

DOI10.1007/s00033-020-01435-0zbMath1460.80001OpenAlexW3108782422WikidataQ115609382 ScholiaQ115609382MaRDI QIDQ2219318

Maria Carla Di Domenico, Antonio Sellitto, Isabella Carlomagno

Publication date: 19 January 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01435-0

zbMATH Keywords

two-temperature modelacceleration waveheat waveelectron and phonon temperaturenanoscale thermodynamics

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shocks and related discontinuities in solid mechanics (74J40) Foundations of thermodynamics and heat transfer (80A05) Diffusive and convective heat and mass transfer, heat flow (80A19) Fermionic systems in quantum theory (81V74) Bosonic systems in quantum theory (81V73) Transport equations (35Q49)

Related Items (1)

Local versus nonlocal constitutive theories of nonequilibrium thermodynamics: the Guyer-Krumhansl equation as an example

Cites Work

• Unnamed Item
• Heat waves.
• Heat conduction in multi-temperature mixtures of fluids: the role of the average temperature
• Mesoscopic theories of heat transport in nanosystems
• Heat-pulse propagation in functionally graded thin layers
• Nonlocal thermoelasticity based on nonlocal heat conduction and nonlocal elasticity
• A hierarchy of macroscopic models for phonon transport in graphene
• Nonlinear heat-transport equation beyond Fourier law: application to heat-wave propagation in isotropic thin layers
• Method of Lagrange multipliers for exploitation of the entropy principle
• Moment model and boundary conditions for energy transport in the phonon gas
• Crossed nonlocal effects and breakdown of the Onsager symmetry relation in a thermodynamic description of thermoelectricity
• Understanding Non-equilibrium Thermodynamics
• Multi-temperature mixture of fluids
• Relationships between rational extended thermodynamics and extended irreversible thermodynamics
• Assessment of the Constant Phonon Relaxation Time Approximation in Electron–Phonon Coupling in Graphene
• Rational Extended Thermodynamics beyond the Monatomic Gas
• Charge Transport in Graphene including Thermal Effects
• Two-dimensional phonon hydrodynamics in narrow strips
• Predictive statistical mechanics. A nonequilibrium ensemble formalism

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