6533b823fe1ef96bd127e090
RESEARCH PRODUCT
Thermal solitons in nanotubes
M. SciaccaI. CarlomagnoA. Sellittosubject
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 Thermodynamicsdescription
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.V. All rights reserved.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-08-01 |