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    • https://phys.libretexts.org/Bookshelves/Thermodynamics_and_Statistical_Mechanics/Essential_Graduate_Physics_-_Statistical_Mechanics_(Likharev)/06%3A_Elements_of_Kinetics/6.05%3A_Thermoelectric_effects
      (Indeed, we may look at this expression is as at the difference between the total energy flow density, \(\mathbf{j}_{\varepsilon} = \int \varepsilon \mathbf{v}wd^3p\), and the product of the average e...(Indeed, we may look at this expression is as at the difference between the total energy flow density, \(\mathbf{j}_{\varepsilon} = \int \varepsilon \mathbf{v}wd^3p\), and the product of the average energy needed to add a particle to the system \((\mu )\) by the particle flow density, \(\mathbf{j}_n = \int \mathbf{v}wd^3p \equiv \mathbf{j}/q\).) 64 Again, at equilibrium \((w = w_0)\) the heat flow vanishes, so that \(w\) in Equation (\ref{104}) may be replaced with its perturbation \(\tilde{w}\…

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