6533b828fe1ef96bd1288f29

RESEARCH PRODUCT

Heat solitons and thermal transfer of information along thin wires

J. BafaluyMichele SciaccaDavid JouDavid JouF. X. Alvarez

subject

Fluid Flow and Transfer ProcessesPhysicsInformation transferThermal solitonsMechanical EngineeringCharacteristic equation02 engineering and technologyThermal transferMechanics021001 nanoscience & nanotechnologyCondensed Matter Physics01 natural sciences010305 fluids & plasmasHeat wave0103 physical sciencesHeat transferRadiative transferRadiative transferCylinderInitial value problemSolitonMaxwell–Cattaneo law0210 nano-technologySettore MAT/07 - Fisica MatematicaAuxiliary equation method

description

Abstract The aim of this paper is to consider soliton propagation of heat signals 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 and whose heat transfer along the system is described by the Maxwell–Cattaneo equation. To find the soliton solutions we use the auxiliary equation method. Our motivation is to obtain and compare the speed of propagation, the maximum rate of information transfer, and the energy necessary for the transfer of one bit of information for different solitons, by assuming that a localized soliton may carry a bit of information. It is shown that a given total power (energy/time) may be used either to send a few bits in a fast way, or many bits in a slower way. This may be controlled by choosing the initial condition imposed at one end of the wire.

https://doi.org/10.1016/j.ijheatmasstransfer.2020.119809