Event-Driven Power-Law Relaxation in Weak Turbulence

Description:

This article discusses event-driven power-law relaxation in weak turbulence.

Creator(s):
Creation Date: January 5, 2009
Partner(s):
UNT College of Arts and Sciences
Collection(s):
UNT Scholarly Works
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Creator (Author):
Silvestri, Ludovico

Università di Pisa

Creator (Author):
Fronzoni, Leone

Università di Pisa

Creator (Author):
Grigolini, Paolo

Universitá di Pisa; University of North Texas; Area della Ricerca del CNR

Creator (Author):
Allegrini, Paolo

Università di Pisa

Publisher Info:
Publisher Name: American Physical Society
Place of Publication: [College Park, Maryland]
Date(s):
  • Creation: January 5, 2009
Description:

This article discusses event-driven power-law relaxation in weak turbulence.

Degree:
Department: Physics
Note:

Copyright 2009 American Physical Society. The following article appeared in Physical Review Letters, 102:1; http://prl.aps.org/abstract/PRL/v102/i1/e014502

Note:

Abstract: We characterize the spectral properties of weak turbulence in a liquid crystal sample driven by an external electric field, as a function of the applied voltage, and we find a 1/f noise spectrum S(f) ∝ 1/fn within the whole range 0< ɳ <2. We theoretically explore the hypothesis that the system complexity is driven by non-Poisson events resetting the system through creation and annihilation of coherent structures, retaining no memory of previous history (crucial events). The authors study the time asymptotic regime by means of the density ψ(τ) of the time distances between two crucial events, yielding ɳ = 3 - μ, where μ is defined through the long-time form ψ(τ) ∝ 1/τµ, with 1 < µ < 3. The system regression to equilibrium after an abrupt voltage change experimentally confirms the theory, proving violations of the ordinary linear response theory for both ɳ > 1 and ɳ < 1.

Physical Description:

4 p.

Language(s):
Subject(s):
Keyword(s): weak turbulence | linear responses
Source: Physical Review Letters, 2009, College Park: American Physical Society
Partner:
UNT College of Arts and Sciences
Collection:
UNT Scholarly Works
Identifier:
  • DOI: 10.1103/PhysRevLett.102014502 |
  • ARK: ark:/67531/metadc40395
Resource Type: Article
Format: Text
Rights:
Access: Public
Citation:
Publication Title: Physical Review Letters
Volume: 102
Issue: 1
Peer Reviewed: Yes