%0 Journal Article %1 D'Agosta2006 %A D'Agosta, Roberto %A Vignale, Giovanni %D 2006 %I APS %J Phys. Rev. Lett. %K (electron), current density density, entropy, exchange functional interactions many-body mechanics problems, quantum statistical theory, %N 1 %P 016405--4 %T Relaxation in Time-Dependent Current-Density-Functional Theory %U http://link.aps.org/abstract/PRL/v96/e016405 %V 96 %X We apply the time-dependent current-density-functional theory to the study of the relaxation of a closed many-electron system evolving from a nonequilibrium initial state. We show that the self-consistent unitary time evolution generated by the exchange-correlation vector potential irreversibly drives the system to equilibrium. We also show that the energy dissipated in the Kohn-Sham system, i.e., the noninteracting system whose particle and current densities coincide with those of the physical system under study, is related to the entropy production in the real system.

@article{D'Agosta2006, abstract = {We apply the time-dependent current-density-functional theory to the study of the relaxation of a closed many-electron system evolving from a nonequilibrium initial state. We show that the self-consistent unitary time evolution generated by the exchange-correlation vector potential irreversibly drives the system to equilibrium. We also show that the energy dissipated in the Kohn-Sham system, i.e., the noninteracting system whose particle and current densities coincide with those of the physical system under study, is related to the entropy production in the real system.}, added-at = {2010-01-22T12:15:18.000+0100}, author = {D'Agosta, Roberto and Vignale, Giovanni}, biburl = {https://www.bibsonomy.org/bibtex/29cea103025b6ec43818b279f8c327182/myrta}, description = {Time dependent density functional theory; Memory effects kernel; breakdown adiabatic approximation}, file = {:home/cfc/myrta/VirtualLibrary/MemoryKernel/PhysRevLett_96_016405.pdf:PDF}, interhash = {fe1bd81f529b0632a023723ad7181006}, intrahash = {9cea103025b6ec43818b279f8c327182}, journal = {Phys. Rev. Lett.}, keywords = {(electron), current density density, entropy, exchange functional interactions many-body mechanics problems, quantum statistical theory,}, month = {January}, number = 1, owner = {myrta}, pages = {016405--4}, publisher = {APS}, review = {Hard to read (to be re-read and understood for what regards the more theoretical part) numerical experiment of quantum well (confined in the z direction) prepared out of equilibrium. system relax to equilibrium (electron along z at rest) through the Coulombic interaction that couples along-z electronic degrees of freedom with xy degrees of freedom. It seems however that the transfer is not directly seen, but inferred since energy should be conserved (closed isolated system)}, timestamp = {2010-01-22T12:15:18.000+0100}, title = {Relaxation in Time-Dependent Current-Density-Functional Theory}, url = {http://link.aps.org/abstract/PRL/v96/e016405}, volume = 96, year = 2006 }