Blundell Thermal Physics · Problem 34.2

Non-equilibrium thermodynamics

Physics — Statistical Mechanics · thermoelectric-kinetic-coefficients

Problem

For the thermoelectric problem considered in Section 34.4, show that

\begin{aligned} L_{EE} &= T\sigma, \tag{34.65}\\ L_{ET} &= T^2\epsilon\sigma, \\ L_{TE} &= T^2\epsilon\sigma, \\ L_{TT} &= \kappa T^2 + \epsilon^2 T^3\sigma. \end{aligned}