Statistical-Mechanical Theory of Irreversible Processes. II. Response to Thermal Disturbance

Limited validity of the Kubo formula for thermal conduction in modular quantum systems

“…There simply is no external field which could exert a force on heat, heat is always driven by an energy density (temperature) gradient as described by (1b). Nevertheless, as will also be sketched below, there have been attempts to apply the derivation of (1a) to thermal conduction which eventually implies the application of the KF also in this case 1,2,3,4 . Let us briefly recall the derivation of the KF.…”

“…dτ Tr{ρ 0ĵ (0)ĵ(t + iτ )}, (2) whereρ 0 is the Gibbsian equilibrium state, V the volume and L(ω) is the response coefficient which describes the conductivity at frequency ω.…”

Communications: On the linear response of mechanical systems with constraints

“…We come to our main result that generalizes the classical result of Green 1 and Kubo 2,3 for Hamiltonian systems to nonHamiltonian systems of the form ͑1͒.…”

Dynamic spin-current generation in hybrid structures by sound wave

“…There are few possible ways for taking such perturbations into account. The response of a weakly nonequilibrium system on a thermal type perturbation can be represented as a Fourier transforms of the time correlation functions of the operators for corresponding flows with statistically equilibrium system state [48]. The admittances of this type structure is similar to the expressions for kinetic coefficients, emerging in the equilibrium systems theory as a reaction on mechanical type perturbation, which are representable in the form of an additional summand in the Hamiltonian of the system.…”