Fluctuations of the Free Energy of the Spherical Sherrington-Kirkpatrick Model

Cited 14 time in webofscience Cited 0 time in scopus
  • Hit : 382
  • Download : 0
We consider the fluctuations of the free energy for the 2-spin spherical Sherrington-Kirkpatrick model with no magnetic field. We show that the law of the fluctuations converges to the Gaussian distribution when the temperature is above the critical temperature, and to the GOE Tracy-Widom distribution when the temperature is below the critical temperature. The orders of the fluctuations are markedly different in these two regimes. A universality of the limit law is also proved
Publisher
SPRINGER
Issue Date
2016-10
Language
English
Article Type
Article
Citation

JOURNAL OF STATISTICAL PHYSICS, v.165, no.2, pp.185 - 224

ISSN
0022-4715
DOI
10.1007/s10955-016-1610-0
URI
http://hdl.handle.net/10203/214103
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 14 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0