Issue |
EPL
Volume 114, Number 4, May 2016
|
|
---|---|---|
Article Number | 40003 | |
Number of page(s) | 6 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/114/40003 | |
Published online | 13 June 2016 |
Joint min-max distribution and Edwards-Anderson's order parameter of the circular 1/f-noise model
1 LPTMS, CNRS, Univ. Paris-Sud, Université Paris-Saclay - 91405 Orsay, France
2 CNRS-Laboratoire de Physique Théorique de l'École Normale Supérieure - 24 rue Lhomond, 75231 Paris Cedex, France
Received: 20 April 2016
Accepted: 24 May 2016
We calculate the joint min-max distribution and the Edwards-Anderson's order parameter for the circular model of 1/f-noise. Both quantities, as well as generalisations, are obtained exactly by combining the freezing-duality conjecture and Jack-polynomial techniques. Numerical checks come with significantly improved control of finite-size effects in the glassy phase, and the results convincingly validate the freezing-duality conjecture. Application to diffusive dynamics is discussed. We also provide a formula for the pre-factor ratio of the joint/marginal Carpentier-Le Doussal tail for minimum/maximum which applies to any logarithmic random energy model.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 64.70.Q- – Theory and modeling of the glass transition
© EPLA, 2016
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.