Journal of Statistical Physics

, Volume 114, Issue 3–4, pp 1115–1125 | Cite as

Static and Time Dependent Density Functional Theory with Internal Degrees of Freedom: Merits and Limitations Demonstrated for the Potts Model

  • S. Heinrichs
  • W. Dieterich
  • P. Maass
  • H. L. Frisch

Abstract

We present an extension of the density-functional theory (DFT) formalism for lattice gases to systems with internal degrees of freedom. In order to test approximations commonly used in DFT approaches, we investigate the statics and dynamics of occupation (density) profiles in the one-dimensional Potts model. In particular, by taking the exact functional for this model we can directly evaluate the quality of the local equilibrium approximation used in time-dependent density-functional theory (TDFT). Excellent agreement is found in comparison with Monte Carlo simulations. Finally, principal limitations of TDFT are demonstrated.

density functional theory local equilibrium approximation non-equilibrium dynamics potts model lattice gas kinetics 

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Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • S. Heinrichs
    • 1
  • W. Dieterich
    • 1
  • P. Maass
    • 2
  • H. L. Frisch
    • 3
  1. 1.Fachbereich PhysikUniversität KonstanzKonstanzGermany
  2. 2.Institut für PhysikTechnische Universität IlmenauIlmenauGermany
  3. 3.Department of ChemistrySUNY at AlbanyAlbanyNew York

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