# Plasma Instabilities in an Anisotropically Expanding Geometry

## Abstract

We study (3+1)D kinetic (Boltzmann-Vlasov) equations for relativistic plasma particles in a one dimensionally expanding geometry motivated by ultrarelativistic heavy-ion collisions. We set up local equations in terms of Yang-Mills potentials and auxiliary fields that allow simulations of hard- (expanding-) loop dynamics on a lattice. We determine numerically the evolution of plasma instabilities in the linear (Abelian) regime and also derive their late-time behavior analytically, which is consistent with recent numerical results on the evolution of the so-called melting color-glass condensate. We also find a significant delay in the onset of growth of plasma instabilities which are triggered by small rapidity fluctuations, even when the initial state is highly anisotropic.

- Authors:

- Fakultaet fuer Physik, Universitaet Bielefeld, D-33501 Bielefeld (Germany)
- Institut fuer Theoretische Physik, Technische Universitaet Wien, Wiedner Hauptstrasse 8-10, A-1040 Vienna (Austria)

- Publication Date:

- OSTI Identifier:
- 20861517

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review Letters; Journal Volume: 97; Journal Issue: 25; Other Information: DOI: 10.1103/PhysRevLett.97.252301; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANISOTROPY; BOLTZMANN-VLASOV EQUATION; EVOLUTION; FOUR-DIMENSIONAL CALCULATIONS; GEOMETRY; GLASS; HEAVY ION REACTIONS; MELTING; ONE-DIMENSIONAL CALCULATIONS; PARTICLE RAPIDITY; PLASMA INSTABILITY; PLASMA SIMULATION; POTENTIALS; RELATIVISTIC PLASMA; RELATIVISTIC RANGE; YANG-MILLS THEORY

### Citation Formats

```
Romatschke, Paul, and Rebhan, Anton.
```*Plasma Instabilities in an Anisotropically Expanding Geometry*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVLETT.97.252301.

```
Romatschke, Paul, & Rebhan, Anton.
```*Plasma Instabilities in an Anisotropically Expanding Geometry*. United States. doi:10.1103/PHYSREVLETT.97.252301.

```
Romatschke, Paul, and Rebhan, Anton. Fri .
"Plasma Instabilities in an Anisotropically Expanding Geometry". United States.
doi:10.1103/PHYSREVLETT.97.252301.
```

```
@article{osti_20861517,
```

title = {Plasma Instabilities in an Anisotropically Expanding Geometry},

author = {Romatschke, Paul and Rebhan, Anton},

abstractNote = {We study (3+1)D kinetic (Boltzmann-Vlasov) equations for relativistic plasma particles in a one dimensionally expanding geometry motivated by ultrarelativistic heavy-ion collisions. We set up local equations in terms of Yang-Mills potentials and auxiliary fields that allow simulations of hard- (expanding-) loop dynamics on a lattice. We determine numerically the evolution of plasma instabilities in the linear (Abelian) regime and also derive their late-time behavior analytically, which is consistent with recent numerical results on the evolution of the so-called melting color-glass condensate. We also find a significant delay in the onset of growth of plasma instabilities which are triggered by small rapidity fluctuations, even when the initial state is highly anisotropic.},

doi = {10.1103/PHYSREVLETT.97.252301},

journal = {Physical Review Letters},

number = 25,

volume = 97,

place = {United States},

year = {Fri Dec 22 00:00:00 EST 2006},

month = {Fri Dec 22 00:00:00 EST 2006}

}