Open AccessPhase space trajectories generated under coupling between a dynamic system and a thermal reservoir
Author(s) -
Dhiräj Sinha
Publication year - 2019
Publication title -
journal of physics communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.407
H-Index - 17
ISSN - 2399-6528
DOI - 10.1088/2399-6528/ab4e8b
Subject(s) - dissipative system , trajectory , work (physics) , phase space , thermal , coupling (piping) , heat transfer , transfer function , mechanics , thermal reservoir , physics , harmonic oscillator , space (punctuation) , classical mechanics , function (biology) , harmonic , field (mathematics) , current (fluid) , degrees of freedom (physics and chemistry) , computer science , thermodynamics , mathematics , materials science , engineering , heat spreader , quantum mechanics , evolutionary biology , biology , pure mathematics , electrical engineering , metallurgy , operating system , astronomy
We analyze the phase space trajectories generated under coupling between a dynamic system and a thermal reservoir which generates a fluctuating as well as dissipative force field. We argue that the phase space trajectory of particles associated with intermediate equilibrium states under heat transfer possess a symmetric form, while the corresponding trajectory is asymmetric in energy transfer as work. The new perspective can help in developing a closed form expression of heat and work at microscopic dimensions with a few degrees of freedom. We also present a novel mathematical model of thermal reservoir as a dynamic system described using a transfer function comprising of a set of zeros. It addresses the theoretical weaknesses of current models of a thermal reservoir comprising of a collection of harmonic oscillators.