# Far-from-equilibrium dynamics of a strongly coupled non-Abelian plasma with non-zero charge density or external magnetic field

## Abstract

Using holography, we study the evolution of a spatially homogeneous, far from equilibrium, strongly coupled N = 4 supersymmetric Yang-Mills plasma with a non-zero charge density or a background magnetic field. This gauge theory problem corresponds, in the dual gravity description, to an initial value problem in Einstein-Maxwell theory with homogeneous but anisotropic initial conditions. We explore the dependence of the equilibration process on different aspects of the initial departure from equilibrium and, while controlling for these dependencies, examine how the equilibration dynamics are affected by the presence of a non-vanishing charge density or an external magnetic field. The equilibration dynamics are remarkably insensitive to the addition of even large chemical potentials or magnetic fields; the equilibration time is set primarily by the form of the initial departure from equilibrium. For initial deviations from equilibrium which are well localized in scale, we formulate a simple model for equilibration times which agrees quite well with our results.

- Authors:

- Univ. of Washington, Seattle, WA (United States). Dept. of Physics

- Publication Date:

- Research Org.:
- Univ. of Washington, Seattle, WA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1455173

- Grant/Contract Number:
- SC0011637

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 7; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; holography and quark-gluon plasmas; gauge-gravity correspondence; AdSCFT correspondence

### Citation Formats

```
Fuini, John F., and Yaffe, Laurence G. Far-from-equilibrium dynamics of a strongly coupled non-Abelian plasma with non-zero charge density or external magnetic field. United States: N. p., 2015.
Web. doi:10.1007/JHEP07(2015)116.
```

```
Fuini, John F., & Yaffe, Laurence G. Far-from-equilibrium dynamics of a strongly coupled non-Abelian plasma with non-zero charge density or external magnetic field. United States. doi:10.1007/JHEP07(2015)116.
```

```
Fuini, John F., and Yaffe, Laurence G. Wed .
"Far-from-equilibrium dynamics of a strongly coupled non-Abelian plasma with non-zero charge density or external magnetic field". United States. doi:10.1007/JHEP07(2015)116. https://www.osti.gov/servlets/purl/1455173.
```

```
@article{osti_1455173,
```

title = {Far-from-equilibrium dynamics of a strongly coupled non-Abelian plasma with non-zero charge density or external magnetic field},

author = {Fuini, John F. and Yaffe, Laurence G.},

abstractNote = {Using holography, we study the evolution of a spatially homogeneous, far from equilibrium, strongly coupled N = 4 supersymmetric Yang-Mills plasma with a non-zero charge density or a background magnetic field. This gauge theory problem corresponds, in the dual gravity description, to an initial value problem in Einstein-Maxwell theory with homogeneous but anisotropic initial conditions. We explore the dependence of the equilibration process on different aspects of the initial departure from equilibrium and, while controlling for these dependencies, examine how the equilibration dynamics are affected by the presence of a non-vanishing charge density or an external magnetic field. The equilibration dynamics are remarkably insensitive to the addition of even large chemical potentials or magnetic fields; the equilibration time is set primarily by the form of the initial departure from equilibrium. For initial deviations from equilibrium which are well localized in scale, we formulate a simple model for equilibration times which agrees quite well with our results.},

doi = {10.1007/JHEP07(2015)116},

journal = {Journal of High Energy Physics (Online)},

number = 7,

volume = 2015,

place = {United States},

year = {2015},

month = {7}

}

*Citation information provided by*

Web of Science

Web of Science

Works referenced in this record:

##
Estimate of the Magnetic Field Strength in Heavy-Ion Collisions

journal, December 2009

- Skokov, V. V.; Illarionov, A. Yu.; Toneev, V. D.
- International Journal of Modern Physics A, Vol. 24, Issue 31

##
Why does the quark–gluon plasma at RHIC behave as a nearly ideal fluid?

journal, July 2004

- Shuryak, Edward
- Progress in Particle and Nuclear Physics, Vol. 53, Issue 1

##
Confronting LHC data with the statistical hadronization model

journal, May 2014

- Stachel, J.; Andronic, A.; Braun-Munzinger, P.
- Journal of Physics: Conference Series, Vol. 509

##
The effects of topological charge change in heavy ion collisions: “Event by event and violation”

journal, May 2008

- Kharzeev, Dmitri E.; McLerran, Larry D.; Warringa, Harmen J.
- Nuclear Physics A, Vol. 803, Issue 3-4

##
From Gauge-String Duality to Strong Interactions:A Pedestrian's Guide

journal, November 2009

- Gubser, Steven S.; Karch, Andreas
- Annual Review of Nuclear and Particle Science, Vol. 59, Issue 1

##
The statistical model in Pb–Pb collisions at the LHC

journal, May 2013

- Andronic, A.; Braun-Munzinger, P.; Redlich, K.
- Nuclear Physics A, Vol. 904-905

##
Simulation of Black Hole Collisions in Asymptotically Anti–de Sitter Spacetimes

journal, February 2015

- Bantilan, Hans; Romatschke, Paul
- Physical Review Letters, Vol. 114, Issue 8

##
Gauge theory correlators from non-critical string theory

journal, May 1998

- Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M.
- Physics Letters B, Vol. 428, Issue 1-2

##
Fully Dynamical Simulation of Central Nuclear Collisions

journal, November 2013

- van der Schee, Wilke; Romatschke, Paul; Pratt, Scott
- Physical Review Letters, Vol. 111, Issue 22

##
Holographic Vortex Liquids and Superfluid Turbulence

journal, July 2013

- Chesler, P. M.; Liu, H.; Adams, A.
- Science, Vol. 341, Issue 6144

##
Equilibration Rates in a Strongly Coupled Nonconformal Quark-Gluon Plasma

journal, June 2015

- Buchel, Alex; Heller, Michal P.; Myers, Robert C.
- Physical Review Letters, Vol. 114, Issue 25

##
Magnetic brane solutions in AdS

journal, October 2009

- D'Hoker, Eric; Kraus, Per
- Journal of High Energy Physics, Vol. 2009, Issue 10

##
Horizon Formation and Far-from-Equilibrium Isotropization in a Supersymmetric Yang-Mills Plasma

journal, May 2009

- Chesler, Paul M.; Yaffe, Laurence G.
- Physical Review Letters, Vol. 102, Issue 21

##
What RHIC experiments and theory tell us about properties of quark–gluon plasma?

journal, March 2005

- Shuryak, Edward
- Nuclear Physics A, Vol. 750, Issue 1

##
Holographic thermalization of charged operators

journal, May 2015

- Giordano, Alejandro; Grandi, Nicolás E.; Silva, Guillermo A.
- Journal of High Energy Physics, Vol. 2015, Issue 5

##
Anti de Sitter space and holography

journal, January 1998

- Witten, Edward
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2

##
Viscosity, Black Holes, and Quantum Field Theory

journal, November 2007

- Son, Dam T.; Starinets, Andrei O.
- Annual Review of Nuclear and Particle Science, Vol. 57, Issue 1

##
Strong Coupling Isotropization of Non-Abelian Plasmas Simplified

journal, May 2012

- Heller, Michal P.; Mateos, David; van der Schee, Wilke
- Physical Review Letters, Vol. 108, Issue 19

##
The QCD equation of state in background magnetic fields

journal, August 2014

- Bali, G. S.; Bruckmann, F.; Endrődi, G.
- Journal of High Energy Physics, Vol. 2014, Issue 8

##
Correlation functions in the CFTd/AdSd+1 correspondence

journal, April 1999

- Freedman, Daniel Z.; Mathur, Samir D.; Matusis, Alec
- Nuclear Physics B, Vol. 546, Issue 1-2

##
Holography and Colliding Gravitational Shock Waves in Asymptotically $\mathrm{Ad}{\mathbf{S}}_{5}$ Spacetime

journal, January 2011

- Chesler, Paul M.; Yaffe, Laurence G.
- Physical Review Letters, Vol. 106, Issue 2

##
Holographic thermalization with chemical potential

journal, September 2012

- Caceres, Elena; Kundu, Arnab
- Journal of High Energy Physics, Vol. 2012, Issue 9

##
Transport coefficients in high temperature gauge theories, 2. Beyond leading log

journal, May 2003

- Arnold, Peter; Moore, Guy D.; Yaffe, Laurence G.
- Journal of High Energy Physics, Vol. 2003, Issue 05

##
Holographic Turbulence

journal, April 2014

- Adams, Allan; Chesler, Paul M.; Liu, Hong
- Physical Review Letters, Vol. 112, Issue 15

##
Large N field theories, string theory and gravity

journal, January 2000

- Aharony, Ofer; Gubser, Steven S.; Maldacena, Juan
- Physics Reports, Vol. 323, Issue 3-4

##
The holographic Weyl anomaly

journal, July 1998

- Henningson, M.; Skenderis, K.
- Journal of High Energy Physics, Vol. 1998, Issue 07

##
Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes

journal, July 2014

- Chesler, Paul M.; Yaffe, Laurence G.
- Journal of High Energy Physics, Vol. 2014, Issue 7

##
Debye screening in strongly coupled Script N = 4 supersymmetric Yang-Mills plasma

journal, August 2007

- Bak, Dongsu; Karch, Andreas; Yaffe, Laurence G.
- Journal of High Energy Physics, Vol. 2007, Issue 08

##
Weak field collapse in AdS: introducing a charge density

journal, June 2015

- Caceres, Elena; Kundu, Arnab; Pedraza, Juan F.
- Journal of High Energy Physics, Vol. 2015, Issue 6

##
Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence

journal, March 2001

- de Haro, Sebastian; Skenderis, Kostas; Solodukhin, Sergey N.
- Communications in Mathematical Physics, Vol. 217, Issue 3

##
Holographic isotropization linearized

journal, September 2013

- Heller, Michal P.; Mateos, David; van der Schee, Wilke
- Journal of High Energy Physics, Vol. 2013, Issue 9

##
Longitudinal Coherence in a Holographic Model of Asymmetric Collisions

journal, June 2014

- Casalderrey-Solana, Jorge; Heller, Michal P.; Mateos, David
- Physical Review Letters, Vol. 112, Issue 22

##
Real-Time Dynamics of the Chiral Magnetic Effect

journal, May 2010

- Fukushima, Kenji; Kharzeev, Dmitri E.; Warringa, Harmen J.
- Physical Review Letters, Vol. 104, Issue 21

##
Charged magnetic brane solutions in AdS5 and the fate of the third law of thermodynamics

journal, March 2010

- D’Hoker, Eric; Kraus, Per
- Journal of High Energy Physics, Vol. 2010, Issue 3

##
From Full Stopping to Transparency in a Holographic Model of Heavy Ion Collisions

journal, October 2013

- Casalderrey-Solana, Jorge; Heller, Michal P.; Mateos, David
- Physical Review Letters, Vol. 111, Issue 18

##
Quark–hadron phase transition in a magnetic field

journal, June 2008

- Agasian, N. O.; Fedorov, S. M.
- Physics Letters B, Vol. 663, Issue 5

##
Thermalization with a chemical potential from AdS spaces

journal, July 2012

- Galante, Damián; Schvellinger, Martin
- Journal of High Energy Physics, Vol. 2012, Issue 7