Relaxation in time-dependent current-density functional theory
arXiv:cond-mat/0508175 · doi:10.1103/PhysRevLett.96.016405
Abstract
We apply the time-dependent current-density functional theory to the study of the relaxation of a closed many-electron system evolving from an non-equilibrium initial state. We show that the self-consistent unitary time evolution generated by the time dependent exchange-correlation vector potential irreversibly drives the system to equilibrium. We also show that the energy dissipated in the Kohn-Sham system is related to the entropy production in the real system.
4 pages, 2 figures, Revtex4. Submitted to Physical Review Letters
References in corpus (1)
Cited by in corpus (24)
- Progress in Time-Dependent Density-Functional Theory
- Ab Initio Simulation of Electrical Currents Induced by Ultrafast Laser Excitation of Dielectric Materials
- Time-dependent density-functional theory beyond the adiabatic approximation: insights from a two-electron model system
- Bound states in ab initio approaches to quantum transport: A time-dependent formulation
- Current-dependent exchange-correlation potential for non-local absorption in quantum hydrodynamic theory
- Stochastic Time-Dependent Current-Density-Functional Theory
- Time-Dependent Density Functional Theory for Open Quantum Systems with Unitary Propagation
- Non-adiabatic electron dynamics in time-dependent density-functional theory
- Electrons as probes of dynamics in molecules and clusters : a contribution from Time Dependent Density Functional Theory
- Exact time-dependent exchange-correlation potential in electron scattering processes
- Non-Adiabatic Approximations in Time-Dependent Density Functional Theory: Progress and Prospects
- Relaxation and dephasing in open quantum systems time-dependent density functional theory: Properties of exact functionals from an exactly-solvable model system
- Performance of a non-empirical meta-GGA density functional for excitation energies
- Towards a dynamical approach to the calculation of the figure of merit of thermoelectric nanoscale devices
- Time-Dependent Density Functional Theory of Open Quantum Systems in the Linear-Response Regime
- The generator coordinate method in time-dependent density-functional theory: memory made simple
- Non-equilibrium correlation dynamics in the one-dimensional Fermi-Hubbard model: A testbed for the two-particle reduced density matrix theory
- Thermoelectric transport within density functional theory
- Electronic viscosity in a quantum well: A test for the local density approximation
- Foundations of stochastic time-dependent current-density functional theory for open quantum systems: Potential pitfalls and rigorous results
- Exact non-adiabatic part of the Kohn-Sham potential and its fluidic approximation
- Observation of molecular dipole excitations by attosecond self-streaking
- Dissipation and spontaneous emission in quantum electrodynamical density functional theory based on optimized effective potential: A proof of concept study
- Nonadiabatic time-dependent density-functional theory at the cost of adiabatic local density approximation