# Chiral Instabilities and the Onset of Chiral Turbulence in QED Plasmas

## Abstract

We present a first principles study of chiral plasma instabilities and the onset of chiral turbulence in QED plasmas with strong gauge matter interaction ( ${e}^{2}{N}_{f}=64$), far from equilibrium. By performing classical-statistical lattice simulations of the microscopic theory, we show that the generation of strong helical magnetic fields from a helicity imbalance in the fermion sector proceeds via three distinct phases. During the initial linear instability regime the helicity imbalance of the fermion sector causes an exponential growth (damping) of magnetic field modes with right- (left-) handed polarization, for which we extract the characteristic growth (damping) rates. Secondary growth of unstable modes accelerates the helicity transfer from fermions to gauge fields and ultimately leads to the emergence of a self-similar scaling regime characteristic of a decaying turbulence, where magnetic helicity is efficiently transferred to macroscopic length scales. Within this turbulent regime, the evolution of magnetic helicity spectrum can be described by an infrared power spectrum with spectral exponent $\kappa =10.2\pm 0.5$ and dynamical scaling exponents $\alpha =1.14\pm 0.50$ and $\beta =0.37\pm 0.13$.

- Authors:

- Publication Date:

- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); HEP Center for Computational Excellence; SOLLVE Exascale Computing Project; European Research Council (ERC); German Research Foundation (DFG); Government of India; Institute of Mathematical Sciences

- OSTI Identifier:
- 1619873

- Alternate Identifier(s):
- OSTI ID: 1616441

- Report Number(s):
- BNL-213870-2020-JAAM

Journal ID: ISSN 0031-9007; PRLTAO; 191604

- Grant/Contract Number:
- SC0012704; AC02-05CH11231; KA24001022; 17-SC-20-SC; ERC-2015-CoG-681707

- Resource Type:
- Published Article

- Journal Name:
- Physical Review Letters

- Additional Journal Information:
- Journal Name: Physical Review Letters Journal Volume: 124 Journal Issue: 19; Journal ID: ISSN 0031-9007

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 79 ASTRONOMY AND ASTROPHYSICS

### Citation Formats

```
Mace, Mark, Mueller, Niklas, Schlichting, Sören, and Sharma, Sayantan. Chiral Instabilities and the Onset of Chiral Turbulence in QED Plasmas. United States: N. p., 2020.
Web. doi:10.1103/PhysRevLett.124.191604.
```

```
Mace, Mark, Mueller, Niklas, Schlichting, Sören, & Sharma, Sayantan. Chiral Instabilities and the Onset of Chiral Turbulence in QED Plasmas. United States. doi:https://doi.org/10.1103/PhysRevLett.124.191604
```

```
Mace, Mark, Mueller, Niklas, Schlichting, Sören, and Sharma, Sayantan. Fri .
"Chiral Instabilities and the Onset of Chiral Turbulence in QED Plasmas". United States. doi:https://doi.org/10.1103/PhysRevLett.124.191604.
```

```
@article{osti_1619873,
```

title = {Chiral Instabilities and the Onset of Chiral Turbulence in QED Plasmas},

author = {Mace, Mark and Mueller, Niklas and Schlichting, Sören and Sharma, Sayantan},

abstractNote = {We present a first principles study of chiral plasma instabilities and the onset of chiral turbulence in QED plasmas with strong gauge matter interaction (e2Nf=64), far from equilibrium. By performing classical-statistical lattice simulations of the microscopic theory, we show that the generation of strong helical magnetic fields from a helicity imbalance in the fermion sector proceeds via three distinct phases. During the initial linear instability regime the helicity imbalance of the fermion sector causes an exponential growth (damping) of magnetic field modes with right- (left-) handed polarization, for which we extract the characteristic growth (damping) rates. Secondary growth of unstable modes accelerates the helicity transfer from fermions to gauge fields and ultimately leads to the emergence of a self-similar scaling regime characteristic of a decaying turbulence, where magnetic helicity is efficiently transferred to macroscopic length scales. Within this turbulent regime, the evolution of magnetic helicity spectrum can be described by an infrared power spectrum with spectral exponent κ=10.2±0.5 and dynamical scaling exponents α=1.14±0.50 and β=0.37±0.13.},

doi = {10.1103/PhysRevLett.124.191604},

journal = {Physical Review Letters},

number = 19,

volume = 124,

place = {United States},

year = {2020},

month = {5}

}

DOI: https://doi.org/10.1103/PhysRevLett.124.191604

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