Heat flux operator, current conservation and the formal Fourier's law

Details Heat flux operator, current conservation and the formal Fourier's law Heat flux operator, current conservation and the formal Fourier's law

2008-04-21

arxiv.org/abs/0804.3371v1

J. Phys. A: Math. Theor. 42 025302 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1088/1751-8113/42/2/025302

By revisiting previous definitions of the heat current operator, we show that one can define a heat current operator that satisfies the continuity equation for a general Hamiltonian in one dimension. This expression is useful for studying electronic, phononic and photonic energy flow in linear systems and in hybrid structures. The definition allows us to deduce the necessary conditions that result in current conservation for general-statistics systems. The discrete form of the Fourier's Law of heat conduction naturally emerges in the present definition.

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