Holographic isotropization linearized

Heller, Michał; Matéos, David; Schee, Wilke van der; Triana, Miquel

doi:10.1007/jhep09(2013)026

Cited by 80 publications

(147 citation statements)

References 37 publications

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“…We find that only disturbances in the geometry originating deep in the bulk, very close to the horizon, generate significant nonlinearities. This is broadly consistent with earlier work [8,9]. However, for a very wide variety of initial disturbances, including ones which generate extremely large pressure anisotropies, we find remarkably little nonlinearity in the equilibration dynamics, often below the part-per-mille level.…”

Section: Jhep07(2015)116supporting

confidence: 92%

“…In this paper, we extend previous work on the dynamics of homogeneous but anisotropic N = 4 SYM plasma [7][8][9]. We examine the influence on the equilibration dynamics of a non-zero global U(1) charge density, or a background magnetic field.…”

Section: Jhep07(2015)116mentioning

confidence: 87%

“…These include homogeneous isotropization [7][8][9], colliding shock waves [10][11][12][13][14][15], and turbulence in two-dimensional fluids [16,17]. A detailed presentation of the methods used in most of these works is available [18].…”

Section: Jhep07(2015)116mentioning

confidence: 99%

“…17 For results from an exploration of a broader range of initial anisotropy profiles, in the case of vanishing charge density and magnetic field, see ref. [9].…”

Section: Initial Datamentioning

confidence: 99%

“…(See refs. [8,9,49] for related discussion.) It should be noted that reasonably good agreement between linearized dynamics and full nonlinear evolution was previously reported in ref.…”

Section: Jhep07(2015)116mentioning

confidence: 99%

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

Fuini

Yaffe

2015

J. High Energ. Phys.

144

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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.

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Section: Jhep07(2015)116supporting

confidence: 92%

Section: Jhep07(2015)116mentioning

confidence: 87%

Section: Jhep07(2015)116mentioning

confidence: 99%

“…17 For results from an exploration of a broader range of initial anisotropy profiles, in the case of vanishing charge density and magnetic field, see ref. [9].…”

Section: Initial Datamentioning

confidence: 99%

“…(See refs. [8,9,49] for related discussion.) It should be noted that reasonably good agreement between linearized dynamics and full nonlinear evolution was previously reported in ref.…”

Section: Jhep07(2015)116mentioning

confidence: 99%

See 3 more Smart Citations

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

Fuini

Yaffe

2015

J. High Energ. Phys.

144

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The search for alignment of board gender diversity, the adoption of environmental management systems, and the association with firm performance in Asian firms

Rehman

Orij

Khan

2020

Corp Soc Responsibility Env

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This study examines how board gender diversity can address the challenges to adopt environment management systems (EMS) to improve firm performance. Firstly, drawing on gender socialization and diversity theories, higher board gender diversity motivates firms to adopt EMS. Empirical evidence shows that firms with gender diverse boards are greener. Secondly, the study investigates the maxim that green pays to be green. The empirical findings highlight a positive and statistically significant but economically modest link between EMS and firm financial performance. However, the inclusion of board gender diversity as moderator significantly improves the relationship between EMS and firm performance. In addition, CEO gender is linked to better performance only in firms with low female board diversity. The findings strongly recommend higher board gender diversity as a mechanism to address the challenges of EMS and firm performance simultaneously. The findings are robust to controlling for propensity score matching technique and are different in different approaches.

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Dynamics of phase separation from holography

Attems

Bea

Casalderrey-Solana

et al. 2020

J. High Energ. Phys.

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We use holography to develop a physical picture of the real-time evolution of the spinodal instability of a four-dimensional, strongly-coupled gauge theory with a firstorder, thermal phase transition. We numerically solve Einstein's equations to follow the evolution, in which we identify four generic stages: A first, linear stage in which the instability grows exponentially; a second, non-linear stage in which peaks and/or phase domains are formed; a third stage in which these structures merge; and a fourth stage in which the system finally relaxes to a static, phase-separated configuration. On the gravity side the latter is described by a static, stable, inhomogeneous horizon. We conjecture and provide evidence that all static, non-phase separated configurations in large enough boxes are dynamically unstable. We show that all four stages are well described by the constitutive relations of second-order hydrodynamics that include all second-order gradients that are purely spatial in the local rest frame. In contrast, a Müller-Israel-Stewart-type formulation of hydrodynamics fails to provide a good description for two reasons. First, it misses some large, purely-spatial gradient corrections. Second, several second-order transport coefficients in this formulation, including the relaxation times τ π and τ Π , diverge at the points where the speed of sound vanishes.

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Holographic isotropization linearized

Cited by 80 publications

References 37 publications

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

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

The search for alignment of board gender diversity, the adoption of environmental management systems, and the association with firm performance in Asian firms

Dynamics of phase separation from holography

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