Can the Velocity Autocorrelation Function Decay Exponentially?
- 3 October 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 51 (14), 1227-1230
- https://doi.org/10.1103/physrevlett.51.1227
Abstract
For Hermitian many-body systems, admissible functions for the velocity autocorrelation function form a certain invariant of time. This property originates from a basic recurrence relation. The exponentially decaying function cannot form an invariant and therefore cannot be admissible.Keywords
This publication has 20 references indexed in Scilit:
- Solutions of the generalized Langevin equation by a method of recurrence relationsPhysical Review B, 1982
- Dynamic Form Factor, Polarizability, and Intrinsic Conductivity of a Two-Dimensional Dense Electron Gas at Zero TemperaturePhysical Review Letters, 1982
- Transport properties of stochastic Lorentz modelsReviews of Modern Physics, 1982
- Density response in an electron liquidPhysical Review B, 1978
- Theoretical and experimental studies on one-dimensional magnetic systemsAdvances in Physics, 1976
- Problem of Brownian Motion in a Periodic PotentialPhysical Review Letters, 1975
- Dynamic Properties of a One-Dimensional Heisenberg MagnetPhysical Review Letters, 1972
- Magnetic correlations and neutron scatteringReports on Progress in Physics, 1968
- Time expansion of correlation functions and the theory of slow neutron scatteringPhysica, 1966
- A Continued-Fraction Representation of the Time-Correlation FunctionsProgress of Theoretical Physics, 1965