A method is proposed for the calculation of diffusion constants for one-dimensional maps exhibiting deterministic diffusion. The procedure is based on harmonic inversion and uses a known relation between the diffusion constant and the periodic orbits of a map. The method is tested on an example map for which results calculated by different other techniques are available for comparison.
Description
Deterministic diffusion in one-dimensional maps—calculation of diffusion constants by harmonic inversion of periodic orbit sums - ScienceDirect
%0 Journal Article
%1 WEIBERT2001120
%A Weibert, Kirsten
%A Main, Jörg
%A Wunner, Günter
%D 2001
%J Physics Letters A
%K main_itp1
%N 1
%P 120 - 124
%R https://doi.org/10.1016/S0375-9601(01)00785-X
%T Deterministic diffusion in one-dimensional maps—calculation of diffusion constants by harmonic inversion of periodic orbit sums
%U http://www.sciencedirect.com/science/article/pii/S037596010100785X
%V 292
%X A method is proposed for the calculation of diffusion constants for one-dimensional maps exhibiting deterministic diffusion. The procedure is based on harmonic inversion and uses a known relation between the diffusion constant and the periodic orbits of a map. The method is tested on an example map for which results calculated by different other techniques are available for comparison.
@article{WEIBERT2001120,
abstract = {A method is proposed for the calculation of diffusion constants for one-dimensional maps exhibiting deterministic diffusion. The procedure is based on harmonic inversion and uses a known relation between the diffusion constant and the periodic orbits of a map. The method is tested on an example map for which results calculated by different other techniques are available for comparison.},
added-at = {2018-12-04T23:41:07.000+0100},
author = {Weibert, Kirsten and Main, Jörg and Wunner, Günter},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2cca171d7188b89db5c1b9924210dae00/rbardak},
description = {Deterministic diffusion in one-dimensional maps—calculation of diffusion constants by harmonic inversion of periodic orbit sums - ScienceDirect},
doi = {https://doi.org/10.1016/S0375-9601(01)00785-X},
interhash = {762b57f24168f5c62c58edbeb8c17d94},
intrahash = {cca171d7188b89db5c1b9924210dae00},
issn = {0375-9601},
journal = {Physics Letters A},
keywords = {main_itp1},
number = 1,
pages = {120 - 124},
timestamp = {2018-12-04T22:41:07.000+0100},
title = {Deterministic diffusion in one-dimensional maps—calculation of diffusion constants by harmonic inversion of periodic orbit sums},
url = {http://www.sciencedirect.com/science/article/pii/S037596010100785X},
volume = 292,
year = 2001
}