dorsal/arxiv
View SchemaLarge Scale Features of Rotating Forced Turbulence
| Authors | Jose Gaite, David Hochberg, Carmen Molina-Paris |
|---|---|
| Categories | |
| ArXiv ID | physics/0301071 |
| URL | https://arxiv.org/abs/physics/0301071 |
| DOI | 10.1103/PhysRevE.67.026304 |
Abstract
Large scale features of a randomly isotropically forced incompressible and unbounded rotating fluid are examined in perturbation theory. At first order in both the random force amplitude and the angular velocity we find two types of modifications to the fluid equation of motion. The first correction transforms the molecular shear viscosity into a (rotation independent) effective viscosity. The second perturbative correction leads to a new large scale non-dissipative force proportional to the fluid angular velocity in the slow rotation regime. This effective force does no net work and alters the dispersion relation of inertial waves propagating in the fluid. Both dynamically generated corrections can be identified with certain components of the most general axisymmetric ``viscosity tensor'' for a Newtonian fluid.
{
"annotation_id": "4376dba0-edaf-4ba3-af13-d51fa0e82056",
"date_created": "2026-03-02T18:00:43.298000Z",
"date_modified": "2026-03-02T18:00:43.298000Z",
"file_hash": "bd3d7567c3cbc49a55bffd7dce9c198417fd12c21fd98d8ec723ce10d66e4fd4",
"private": false,
"record": {
"abstract": "Large scale features of a randomly isotropically forced incompressible and\nunbounded rotating fluid are examined in perturbation theory. At first order in\nboth the random force amplitude and the angular velocity we find two types of\nmodifications to the fluid equation of motion. The first correction transforms\nthe molecular shear viscosity into a (rotation independent) effective\nviscosity. The second perturbative correction leads to a new large scale\nnon-dissipative force proportional to the fluid angular velocity in the slow\nrotation regime. This effective force does no net work and alters the\ndispersion relation of inertial waves propagating in the fluid. Both\ndynamically generated corrections can be identified with certain components of\nthe most general axisymmetric ``viscosity tensor\u0027\u0027 for a Newtonian fluid.",
"arxiv_id": "physics/0301071",
"authors": [
"Jose Gaite",
"David Hochberg",
"Carmen Molina-Paris"
],
"categories": [
"physics.flu-dyn",
"astro-ph",
"cond-mat",
"nlin.CD"
],
"doi": "10.1103/PhysRevE.67.026304",
"title": "Large Scale Features of Rotating Forced Turbulence",
"url": "https://arxiv.org/abs/physics/0301071"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "268f76e1-7b35-4b87-8aad-3fc4edf71e4d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}