Transport Coefficients in a Transient State

  • R. Kutner
  • P. Pendzig
  • D. Knödler
Part of the NATO ASI Series book series (NSSB, volume 360)

Abstract

We extended the linear response analysis to calculate the complex dynamic mobility/conductivity for a system in a transient state relaxing to equilibrium. This analysis has a meaning in the intermediate time and frequency region in solvation dynamics, for example, in electrolyte systems or in diffusion of an adatom adsorbed on a surface as well as in pump-probe experiments in the molecular and solid state area when laser field sources of high intensities axe used. As a test model, we assumed a single-particle one-dimensional random walk on a lattice in an inhomogeneous periodic potential, where the transient state is created by a nonequilibrium initial probability distribution. In the frame of this model, we derived formulas for the above mentioned dynamic quantities. A time- and frequency-dependent diffusion coefficient was also studied. The extension of the calculations to higher dimensions is straightforward although more tedious. As a striking effect, we found a non-monotonic frequency and time dependence of transport coefficients. To verify this effect, numerical simulations were performed by exact enumeration and by the Monte Carlo method for a one-dimensional random walk of a single ion in cutoff Coulomb potential wells.

Keywords

Random Walk Transport Coefficient Dynamic Mobility State Initial Condition Fixed Initial Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • R. Kutner
    • 1
  • P. Pendzig
    • 2
  • D. Knödler
    • 2
  1. 1.Department of PhysicsWarsaw UniversityWarsawPoland
  2. 2.Fakultät für PhysikUniversität KonstanzKonstanzGermany

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