Free energies in the presence of electric and magnetic fields

Details Free energies in the presence of electric and magnetic fields Free energies in the presence of electric and magnetic fields

2004-08-11

arxiv.org/abs/cond-mat/0408259v1

Am. J. Phys. 73, 293 (2005)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1119/1.1819934

We discuss different free energies for materials in static electric and magnetic fields. We explain what the corresponding Hamiltonians are, and describe which choice gives rise to which result for the free energy change, dF, in the thermodynamic identity. We also discuss which Hamiltonian is the most appropriate for calculations using statistical mechanics, as well as the relationship between the various free energies and the "Landau function", which has to be minimized to determine the equilibrium polarization or magnetization, and is central to Landau's theory of second order phase transitions.

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