DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Foundations of stochastic time-dependent current-density functional theory for open quantum systems: Potential pitfalls and rigorous results

Authors:
;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1102075
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Name: Physical Review B Journal Volume: 87 Journal Issue: 15; Journal ID: ISSN 1098-0121
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

D’Agosta, Roberto, and Di Ventra, Massimiliano. Foundations of stochastic time-dependent current-density functional theory for open quantum systems: Potential pitfalls and rigorous results. United States: N. p., 2013. Web. doi:10.1103/PhysRevB.87.155129.
D’Agosta, Roberto, & Di Ventra, Massimiliano. Foundations of stochastic time-dependent current-density functional theory for open quantum systems: Potential pitfalls and rigorous results. United States. https://doi.org/10.1103/PhysRevB.87.155129
D’Agosta, Roberto, and Di Ventra, Massimiliano. Mon . "Foundations of stochastic time-dependent current-density functional theory for open quantum systems: Potential pitfalls and rigorous results". United States. https://doi.org/10.1103/PhysRevB.87.155129.
@article{osti_1102075,
title = {Foundations of stochastic time-dependent current-density functional theory for open quantum systems: Potential pitfalls and rigorous results},
author = {D’Agosta, Roberto and Di Ventra, Massimiliano},
abstractNote = {},
doi = {10.1103/PhysRevB.87.155129},
journal = {Physical Review B},
number = 15,
volume = 87,
place = {United States},
year = {Mon Apr 15 00:00:00 EDT 2013},
month = {Mon Apr 15 00:00:00 EDT 2013}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevB.87.155129

Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Current-Dependent Exchange-Correlation Potential for Dynamical Linear Response Theory
journal, September 1996


Electrical Transport in Nanoscale Systems
book, January 2008


A stochastic approach to open quantum systems
journal, June 2012


Mapping from Densities to Potentials in Time-Dependent Density-Functional Theory
journal, May 1999


Density Functional Theory of the Electrical Conductivity of Molecular Devices
journal, April 2005


Stochastic Time-Dependent Current-Density-Functional Theory
journal, June 2007


Boundary conditions for open quantum systems driven far from equilibrium
journal, July 1990


Ensemble Method in the Theory of Irreversibility
journal, November 1960

  • Zwanzig, Robert
  • The Journal of Chemical Physics, Vol. 33, Issue 5
  • DOI: 10.1063/1.1731409

Density-Functional Theory for Time-Dependent Systems
journal, March 1984


Density-potential mappings in quantum dynamics
journal, May 2012


Relaxation in Time-Dependent Current-Density-Functional Theory
journal, January 2006


Time-Dependent Density Functional Theory for Open Quantum Systems with Unitary Propagation
journal, January 2010


Inhomogeneous Electron Gas
journal, November 1964


Quantum Theory of the Electron Liquid
book, August 2012


Non- V -representability of currents in time-dependent many-particle systems
journal, June 2005


Stochastic quantum molecular dynamics
journal, December 2009


Diamagnetic susceptibility of a dense electron gas
journal, February 1988


Quantum Collision Current in Electronic Circuits
journal, September 2005


Time-Dependent Kohn-Sham Theory with Memory
journal, August 2005


Global fixed-point proof of time-dependent density-functional theory
journal, June 2011


Stochastic Processes in Physics and Chemistry
journal, February 1983

  • Van Kampen, N. G.; Reinhardt, William P.
  • Physics Today, Vol. 36, Issue 2
  • DOI: 10.1063/1.2915501

Mapping from current densities to vector potentials in time-dependent current density functional theory
journal, November 2004


Electronic viscosity in a quantum well: A test for the local-density approximation
journal, July 2007

  • D’Agosta, Roberto; Di Ventra, Massimiliano; Vignale, Giovanni
  • Physical Review B, Vol. 76, Issue 3
  • DOI: 10.1103/PhysRevB.76.035320

Self-Consistent Equations Including Exchange and Correlation Effects
journal, November 1965


Effective single-particle order- N scheme for the dynamics of open noninteracting many-body systems
journal, August 2008