We investigate with numerical methods the scaling of the relaxation time to equipartion in the celebrated Fermi--Pasta--Ulam model. Our numerical results strongly suggest that the time increases exponentially with an inverse power of the specific energy. Such a scaling appears to remain valid in the thermodynamic limit.
Exponentially stable manifolds in the neighbourhood of elliptic equilibria / A. Giorgilli, D. Muraro. - In: BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B. - ISSN 0392-4041. - 9:1(2006), pp. 1-20.
Exponentially stable manifolds in the neighbourhood of elliptic equilibria
A. GiorgilliPrimo
;D. MuraroUltimo
2006
Abstract
We investigate with numerical methods the scaling of the relaxation time to equipartion in the celebrated Fermi--Pasta--Ulam model. Our numerical results strongly suggest that the time increases exponentially with an inverse power of the specific energy. Such a scaling appears to remain valid in the thermodynamic limit.
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