Relaxation properties of the mixmaster universe

Details Relaxation properties of the mixmaster universe Relaxation properties of the mixmaster universe

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phla..121..390m&link_type=abstract

Physics Letters A, Volume 121, Issue 8-9, p. 390-394.

Physics

10

Scientific paper

We apply the Sinai-Ruell-Bowen theory of the thermodynamic formalism to a two-dimensional invertible map S of the unit square arising as an approximate Poincaré map of the mixmaster universe. The relaxation properties of the dynamical system defined by S are thereby related to correlation properties of a one-dimensional lattice spin system where the spin variable can take values in the set N of natural numbers. The spectrum of the transfer operator of this spin system determines the relaxation time of the map S.
Heisenberg Fellow.

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