The Open Thermodynamics Journal
2008, 2 : 22-24Published online 2008 April 8. DOI: 10.2174/1874396X00802010022
Publisher ID: TOTHERJ-2-22
Hamiltonian Formulation of Heat Conduction: Integral Transform Method Approach
The University of Edinburgh,
School of Engineering and Electronics, King’s Buildings, Mayfield Road,
Edinburgh EH9 3JL, United Kingdom.
ABSTRACT
The Hamiltonian formulation of heat conduction is derived using the integral transform method approach, in comparison with the conventional Hamiltonian formulation in the physical space of the variables temperature and heat flux. An analogy with the relativistic motion of a particle is briefly discussed.