Search results for "Maxwell-Cattaneo law"

showing 3 items of 3 documents

Thermal solitons in nanotubes

2022

Starting from a recent proposal of a nonlinear Maxwell-Cattaneo equation for the heat transport with relaxational effects at nanoscale, in a special case of thermal-wave propagation we derive a nonlinear Schrodinger equation for the amplitudes of the heatflux perturbation. The complete integrability of the obtained equation is investigated in order to prove the existence of infinite conservation laws, as well as the existence of infinite exact solutions. In this regards, we have considered the simplest nontrivial solutions, namely, the bright and dark (thermal) solitons, which may be interesting for energy transport and for information transmission in phononic circuits. (c) 2022 Elsevier B.…

Complete integrabilityComputational MathematicsThermal solitonsApplied MathematicsModeling and SimulationComplete integrability; Extended Non-Equilibrium Thermodynamics; Maxwell–Cattaneo law; Nonlinear Schrödinger equation; Thermal solitonsNonlinear Schrödinger equationGeneral Physics and AstronomyNonlinear Schroedinger equation Thermal solitons Maxwell-Cattaneo law Extended Non-Equilibrium Thermodynamics Complete integrabilityMaxwell–Cattaneo lawSettore MAT/07 - Fisica MatematicaExtended Non-Equilibrium Thermodynamics
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Nonlinear Thermal Transport with Inertia in Thin Wires: Thermal Fronts and Steady States

2022

Abstract In a series of papers we have obtained results for nonlinear heat transport when thin wires exchange heat non-linearly with the surroundings, with particular attention to propagating solitons. Here we obtain and discuss new results related to the propagation of nonlinear heat fronts and some conceptual aspects referring to the application of the second principle of thermodynamics to some nonlinear steady states related to non-propagating solitons.

Nonlinear thermal frontsauxiliary equation methodMaxwell-Cattaneo lawGeneral Physics and AstronomyGeneral Chemistrynonlinear steady statesnonlinear radiative transferJournal of Non-Equilibrium Thermodynamics
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Thermal solitons along wires with flux-limited lateral exchange

2021

We obtain some exact solutions in the context of solitons, for heat conduction with inertia along a cylinder whose heat exchange with the environment is a non-linear function of the difference of temperatures of the cylinder and the environment, due to a flux-limiter behavior of the exchange. We study the consequences of heat transfer and information transfer along the wire, and we compare the situation with analogous solitons found in nonlinear lateral radiative exchange studied in some previous papers. We also find further exact solutions in terms of Weierstrass elliptic functions for the sake of completeness.

PhysicsHeat waves. Thermal solitons. Heat flux saturation. Maxwell-Cattaneo law. Radiative transfer. Auxiliary equation method. Flux limiters.media_common.quotation_subjectElliptic functionStatistical and Nonlinear PhysicsContext (language use)MechanicsInertiaThermal conductionNonlinear systemHeat transferRadiative transferCylinderMathematical Physicsmedia_common
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