Statistical mechanics of the shallow water system
arXiv:physics/0004056 · doi:10.1103/PhysRevE.65.026302
Abstract
We extend the formalism of the statistical theory developed for the 2D Euler equation to the case of shallow water system. Relaxation equations towards the maximum entropy state are proposed, which provide a parametrization of sub-grid scale eddies in 2D compressible turbulence.
submitted to Phys. Fluids
References in corpus (4)
Cited by in corpus (25)
- Statistical mechanics and dynamics of solvable models with long-range interactions
- Generalized thermodynamics and Fokker-Planck equations. Applications to stellar dynamics, two-dimensional turbulence and Jupiter's great red spot
- Classification of phase transitions and ensemble inequivalence, in systems with long range interactions
- Generalized thermodynamics and kinetic equations: Boltzmann, Landau, Kramers and Smoluchowski
- Dynamics and thermodynamics of axisymmetric flows: I. Theory
- Brownian theory of 2D turbulence and generalized thermodynamics
- Kinetic theory of Onsager's vortices in two-dimensional hydrodynamics
- Hyperviscosity and statistical equilibria of Euler turbulence on the torus and the sphere
- Out-of-equilibrium phase transitions in the HMF model: a closer look
- Long-range interacting systems in the unconstrained ensemble
- Statistical mechanics of two-dimensional vortices and stellar systems
- Euler-like modelling of dense granular flows: application to a rotating drum
- Phase separation of bacterial colonies in a limit of high degradation. Analogy with Jupiter's great red spot
- Phase transitions and marginal ensemble equivalence for freely evolving flows on a rotating sphere
- Concavity, Response Functions and Replica Energy
- Relaxation equations for two-dimensional turbulent flows with a prior vorticity distribution
- Equilibrium statistical mechanics and energy partition for the shallow water model
- Phase transitions in Thirring's model
- Phase transitions in the unconstrained ensemble
- Lifetime of locally stable states near a phase transition in the Thirring model
- Statistical mechanics of the shallow-water system with a prior potential vorticity distribution
- An Introduction to Large Deviations and Equilibrium Statistical Mechanics for Turbulent Flows
- Strong vorticity fluctuations and antiferromagnetic correlations in axisymmetric fluid equilibria
- Statistical equilibrium principles in 2D fluid flow: from geophysical fluids to the solar tachocline
- Modified Thirring model beyond the excluded-volume approximation