One-Particle Representation of Heat Conduction Described within the Scope of the Second Law

@article{Jesudason2016OneParticleRO,
  title={One-Particle Representation of Heat Conduction Described within the Scope of the Second Law},
  author={Christopher Gunaseelan Jesudason},
  journal={PLoS ONE},
  year={2016},
  volume={11}
}
The Carnot cycle and its deduction of maximum conversion efficiency of heat inputted and outputted isothermally at different temperatures necessitated the construction of isothermal and adiabatic pathways within the cycle that were mechanically “reversible”, leading eventually to the Kelvin-Clausius development of the entropy function S with differential dS=dq/T such that ∮CdS=0 where the heat absorption occurs at the isothermal paths of the elementary Carnot cycle. Another required condition… 

Figures and Tables from this paper

Second Law Considerations in Fourier Heat Conduction of a Lattice Chain in Relation to Intermolecular Potentials
Two aspects of conductive heat are focused here (i) the nature of conductive heat, defined as that form of energy that is transferred as a result of a temperature difference and (ii) the nature of

References

SHOWING 1-10 OF 155 REFERENCES
Energy transport and detailed verification of Fourier heat law in a chain of colliding harmonic oscillators
The authors study a simple nonlinear classical Hamiltonian system with positive K-entropy, a model for heat conduction, and they find that it obeys the Fourier heat law. Numerical simulation of its
Thermal rectification and thermal resistive phase cross over in exponential mass graded materials
Abstract Concept of the functional graded materials (FGMs) has been explored by considering exponential mass variation along the chain of anharmonic oscillators in the study of heat transport at low
The thermodynamics of systems in a steady statea)
A rigorous thermodynamic theory of steady‐state systems is developed by generalizing the methods which were used by Clausius and Kelvin in the development of classical thermodynamics (thermostatics).
An Energy Interconversion Principle Applied in Reaction dynamics for the determination of equilibrium standard states
AbstractChemical and other reaction theories involving thermodynamical equilibrium states utilize statistical mechanical equilibrium density distributions. Here, a definition of heat-work
Statistical mechanical theory for steady-state systems. III. Heat flow in a Lennard-Jones fluid.
  • P. Attard
  • Physics, Engineering
    The Journal of chemical physics
  • 2005
TLDR
A statistical mechanical theory for heat flow is developed based upon the second entropy for dynamical transitions between energy moment macrostates, and a new expression for the thermal conductivity is derived and shown to converge to its asymptotic value faster than the traditional Green-Kubo expression.
II. The Second Law in Relation to Thermal Radiative Transfer
Planck introduced the quantum hypothesis from his Blackbody radiation studies, where he and subsequent workers opined that classical mechanics and electrodynamical theories could not account for the
Properties of a Harmonic Crystal in a Stationary Nonequilibrium State
The stationary nonequilibrium Gibbsian ensemble representing a harmonic crystal in contact with several idealized heat reservoirs at different temperatures is shown to have a Gaussian r space
Some Consequences of an Analysis of the Kelvin-Clausius Entropy Formulation Based on Traditional Axiomatics
TLDR
It is deduced that the Clausius analysis leading to the law of increasing entropy does not follow from the given axioms but it can be proved that for irreversible transitions, the total entropy change of the system and thermal reservoirs is not negative, even for the case when the reservoirs are not at the same temperature as the system during heat transfer.
Criteria for local equilibrium in a system with transport of heat and mass
Nonequilibrium molecular dynamics is used to compute the coupled heat and mass transport in a binary isotope mixture of particles interacting with a Lennard-Jones/spline potential. Two different
...
...