Effective dissipation and turbulence in spectrally truncated euler flows.

Phys Rev Lett

Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, associé au CNRS et aux Universités, Paris VI et VII, France.

Published: December 2005

A new transient regime in the relaxation towards absolute equilibrium of the conservative and time-reversible 3D Euler equation with a high-wave-number spectral truncation is characterized. Large-scale dissipative effects, caused by the thermalized modes that spontaneously appear between a transition wave number and the maximum wave number, are calculated using fluctuation dissipation relations. The large-scale dynamics is found to be similar to that of high-Reynolds number Navier-Stokes equations and thus obeys (at least approximately) Kolmogorov scaling.

Download full-text PDF

Source
http://dx.doi.org/10.1103/PhysRevLett.95.264502DOI Listing

Publication Analysis

Top Keywords

wave number
8
effective dissipation
4
dissipation turbulence
4
turbulence spectrally
4
spectrally truncated
4
truncated euler
4
euler flows
4
flows transient
4
transient regime
4
regime relaxation
4

Similar Publications

Direct Observation of All-Flat Bands Phononic Metamaterials.

Phys Rev Lett

December 2024

University of Connecticut, University of Connecticut, School of Mechanical, Aerospace, and Manufacturing Engineering, Storrs, Connecticut 06269, USA and Institute of Materials Science, Storrs, Connecticut 06269, USA.

Flat lines within a band structure represent constant frequency bands for all momentum values (i.e., they maintain zero group velocity for all wave numbers).

View Article and Find Full Text PDF

Vortex states of photons, electrons, and other particles are freely propagating wave packets with helicoidal wave fronts winding around the axis of a phase vortex. A particle prepared in a vortex state carries a nonzero orbital angular momentum projection on the propagation direction, a quantum number that has never been exploited in experimental particle and nuclear physics. Low-energy vortex photons, electrons, neutrons, and helium atoms have been demonstrated in experiment and found numerous applications, and there exist proposals of boosting them to higher energies.

View Article and Find Full Text PDF

Time-Domain Bound States in the Continuum.

Phys Rev Lett

December 2024

Technion, Department of Electrical and Computer Engineering, Haifa 32000, Israel.

We present the concept of time-domain bound states in continuum. We show that a rapid judiciously designed temporal modulation of the refractive index in a spatially homogenous medium gives rise to a bound state in time, embedded in a continuum of wave numbers. Mathematically, these bound states in the continuum are closed form solutions of the Maxwell equations in time and one-dimensional space.

View Article and Find Full Text PDF

Purpose: Urinary cytokine changes may serve as biomarkers to assess treatment outcomes for interstitial cystitis/bladder pain syndrome (IC/BPS). This study analyzed the changes in urinary cytokines following various bladder therapies and explored their clinical significance in therapeutic mechanisms.

Methods: A total of 122 patients with IC/BPS treated with platelet-rich plasma (PRP), botulinum toxin-A (BoTN-A), hyaluronic acid (HA), or low-energy shock wave (LESW) were evaluated.

View Article and Find Full Text PDF

In this study, we developed terahertz (THz) metamaterial devices with attenuated total reflection (ATR) geometries for biosensing applications. This was achieved by transferring the metamaterial patterns fabricated on a polyimide film to a prism-top surface. We characterized the resonance characteristics of metasurfaces for different THz wave polarizations and gap structure orientations in the metamaterials.

View Article and Find Full Text PDF

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!