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Anomalous transport and observable average in the standard map | | Lydia Bouchara
; Ouerdia Ourrad
; Sandro Vaienti
; Xavier Leoncini
; | | Date: |
2 Sep 2015 | | Abstract: | The distribution of finite time observable averages and transport in low
dimensional Hamiltonian systems is studied. Finite time observable average
distributions are computed, from which an exponent $alpha$ characteristic of
how the maximum of the distributions scales with time is extracted. To link
this exponent to transport properties, the characteristic exponent $mu(q)$ of
the time evolution of the different moments of order $q$ related to transport
are computed. As a testbed for our study the standard map is used. The
stochasticity parameter $K$ is chosen so that either phase space is mixed with
a chaotic sea and islands of stability or with only a chaotic sea. Our
observations lead to a proposition of a law relating the slope in $q=0$ of the
function $mu(q)$ with the exponent $alpha$. | | Source: | arXiv, 1509.0798 | | Services: | Forum | Review | PDF | Favorites | |
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