Wave mechanics and the adhesion approximation

@article{Short2006WaveMA,
  title={Wave mechanics and the adhesion approximation},
  author={Chris J. Short and Peter Coles},
  journal={Journal of Cosmology and Astroparticle Physics},
  year={2006},
  volume={2006},
  pages={016-016}
}
  • C. Short, P. Coles
  • Published 29 April 2006
  • Physics
  • Journal of Cosmology and Astroparticle Physics
The dynamical equations describing the evolution of a self-gravitating fluid of cold dark matter (CDM) can be written in the form of a Schrodinger equation coupled to a Poisson equation describing Newtonian gravity. It has recently been shown that, in the quasi-linear regime, the Schrodinger equation can be reduced to the exactly solvable free-particle Schrodinger equation. The free-particle Schrodinger equation forms the basis of a new approximation scheme—the free-particle approximation—that… Expand

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References

SHOWING 1-10 OF 58 REFERENCES
A wave-mechanical approach to cosmic structure formation
The dynamical equations describing the evolution of a self-gravitating fluid can be rewritten in the form of a Schrodinger equation coupled to a Poisson equation determining the gravitationalExpand
Adhesive gravitational clustering
The notion of adhesion has been advanced for the phenomenon of stabilization of large-scale structure emerging from gravitational instability of a cold medium. Recently, the physical origin ofExpand
Hydrodynamic approach to the evolution of cosmological structures
A hydrodynamic formulation of the evolution of large-scale structure in the Universe is presented. It relies on the spatially coarse-grained description of the dynamical evolution of a many-bodyExpand
Using the Schrodinger equation to simulate collisionless matter
A new numerical technique for following the evolution of collisionless matter under the influence of gravity is proposed. Matter is modeled as a Schrodinger field obeying the coupled Schrodinger andExpand
Modeling collisionless matter in general relativity: A new numerical technique
We propose a new numerical technique for following the evolution of a self-gravitating collisionless system in general relativity. Matter is modeled as a scalar field obeying the coupled Klein-GordonExpand
Modeling multi-stream flow in collisionless matter: approximations for large-scale structure beyond shell-crossing
The generally held view that a model of large-scale structure, formed by collisionless matter in the Universe, can be based on the matter model "dust" fails in the presence of multi- stream flow,Expand
Study of corrections to the dust model via perturbation theory
This work reports on the application of the Eulerian perturbation theory to a recently proposed model of cosmological structure formation by gravitational instability. Its physical meaning isExpand
Approximation methods for non-linear gravitational clustering
We discuss various analytical approximation methods for following the evolution of cosmological density perturbations into the strong (i.e. nonlinear) clustering regime. We start by giving a thoroughExpand
The origin of spatial intermittency in the galaxy distribution
The dynamical equations describing the evolution of a self-gravitating fluid can be rewritten in the form of a Schrodinger equation coupled to a Poisson equation determining the gravitationalExpand
Coherent structures in the universe and the adhesion model
An adhesion model is used to study the formation process of large-scale structures due to nonlinear gravitational growth of small initial fluctuations in the universe dominated by dark matter. TheExpand
...
1
2
3
4
5
...