- Slippage and Boundary Layer Probed in an Almost Ideal Gas by a Nanomechanical Oscillator

M. Defoort et al., Phys. Rev. Lett.**113**, 136101 (2014) - Evidence for the role of normal-state electrons in nanoelectromechanical damping mechanisms at very low temperatures

K.J. Lulla et al., Phys. Rev. Lett.**110**, 177206 (2013) - Phase Diagram of the Topological Superfluid
^{3}He Confined in a Nanoscale Slab Geometry

L.V. Levitin et al., Science**340**, 841-844 (2013) - Energy and angular momentum balance in wall-bounded quantum turbulence at very low temperatures

J.J. Hosio et al., Nature Commun.**4**, 1614 (2013) - Evidence for Helical Nuclear Spin Order in GaAs Quantum Wires

C.P. Scheller et al., Phys. Rev. Lett.**112**, 066801 (2013) - Observation of a roton collective mode in a two-dimensional Fermi liquid

H. Godfrin et al., Nature**483**, 576 (2012) - The Josephson heat interferometer

F. Giazotto, M.J. Martinez-Perez, Nature**492**, 401 (2012)

## Discrete and mesoscopic regimes of finite-size wave turbulence

*V. S. L’vov and S. Nazarenko*

Bounding volume results in discreteness of eigenmodes in wave systems. This leads to a depletion or complete loss of wave resonances (three-wave, four-wave, etc.), which has a strong effect on *wave turbulence* (WT) i.e., on the statistical behavior of broadband sets of weakly nonlinear waves. This paper describes three different regimes of WT realizable for different levels of the wave excitations: *discrete, mesoscopic and kinetic WT*. *Discrete WT* comprises chaotic dynamics of interacting wave “clusters” consisting of discrete (often finite) number of connected resonant wave triads (or quarters). *Kinetic WT* refers to the infinite-box theory, described by well-known wave-kinetic equations. *Mesoscopic WT* is a regime in which either the discrete and the kinetic evolutions alternate or when none of these two types is purely realized. We argue that in mesoscopic systems the wave spectrum experiences a *sandpile* behavior. Importantly, the mesoscopic regime is realized for a *broad range* of wave amplitudes which typically spans over several orders on magnitude, and not just for a particular intermediate level.

*Phys. Rev. E*

**82**, 056322 (2010)doi:

*10.1103/PhysRevE.82.056322*