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Spin transport driven by the temperature gradient in ferromagnetic metals isstudied based on a microscopic theory. It is shown that the temperaturegradient works as an effective field equivalent to the electric field as forboth the spin current generation and the spin relaxation torque. The thermallydriven contribution of the spin current and the relaxation torque are thusproportional to $\nabla T$ and $\nabla^2 T$, respectively.

Theory of spin transport induced by the temperature gradient