4.6 Article

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

Journal

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/42/2/025302

Keywords

-

Funding

  1. NSERC
  2. University of Toronto

Ask authors/readers for more resources

By revisiting previous definitions, we show that one can define an energy 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.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available