Heat flow

Fourier's law of conduction

${\mathbf {Q} }=-k(T)\nabla T$

where ${\mathbf {Q} }$ is the heat current, T is the temperature, and k(T) is the heat conductivity tensor of the material.

Heat flow in one dimension

• Roberto Livi and Stefano Lepri "Heat in one dimension", Nature 421 p. 327 (2003)
• Onuttom Narayan and Sriram Ramaswamy "Anomalous Heat Conduction in One-Dimensional Momentum-Conserving Systems", Physical Review Letters 89 200601 (2002)