Poincare recurrence and intermittent destruction of the quantum Kelvin wave cascade in quantum turbulence

2010 ◽  
Author(s):  
George Vahala ◽  
Jeffrey Yepez ◽  
Linda Vahala ◽  
Min Soe ◽  
Sean Ziegeler
Keyword(s):  
Quantum Turbulence ◽  
Kelvin Wave ◽  
Poincare Recurrence ◽  
Poincaré Recurrence ◽  
Wave Cascade

scholarly journals Poincaré recurrence and spectral cascades in three-dimensional quantum turbulence

2011 ◽  
Vol 84 (4) ◽  
Author(s):  
George Vahala ◽  
Jeffrey Yepez ◽  
Linda Vahala ◽  
Min Soe ◽  
Bo Zhang ◽  
...  
Keyword(s):  
Quantum Turbulence ◽  
Three Dimensional ◽  
Poincare Recurrence ◽  
Poincaré Recurrence

SPECTRA OF RECURRENCE DIMENSION FOR ADIC SYSTEMS

2002 ◽  
Vol 02 (04) ◽  
pp. 599-607 ◽  
Author(s):  
VÍCTOR F. SIRVENT
Keyword(s):  
Finite Type ◽  
Subshift Of Finite Type ◽  
Poincare Recurrence ◽  
Definition Of ◽  
Poincaré Recurrence

We compute the spectra of the recurrence dimension for adic systems and sub-adic systems. This dimension is characterized by the Poincaré recurrence of the system, and known in the literature as Afraimovich–Pesin dimension. These spectra are invariant under bi-Lipschitz transformations. We show that there is a duality between the spectra of an adic system and the corresponding subshift of finite type. We also consider Billingsley-like definition of the spectra of the recurrence dimension.

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