Chaotic dynamics of a suspended string in a gravitational background with magnetic field

Abstract

We study the effects of a magnetic field on the chaotic dynamics of a string with endpoints on the boundary of an asymptotically AdS${}_5$ space with black hole. We study Poincaré sections and compute the Lyapunov exponents for the string perturbed from the static configuration, for two different orientations, with position of the endpoints on the boundary orthogonal and parallel to the magnetic field. We find that the magnetic field stabilizes the string dynamics, with the largest Lyapunov exponent remaining below the Maldacena-Shenker-Stanford bound.

19 pages, 13 figures, 2 tables

References in corpus (6)

• Chaos in the black hole S-matrix
• Inverse Magnetic Catalysis in the Soft-Wall Model of AdS/QCD
• Holographic Anisotropic Model for Heavy Quarks in Anisotropic Hot Dense QGP with External Magnetic Field
• Stability of strings dual to flux tubes between static quarks in N=4 SYM
• Quarkonium dissociation in a far-from-equilibrium holographic setup
• Configuration entropy and stability of bottomonium radial excitations in a plasma with magnetic fields

Cited by in corpus (6)

• Interplay between the Lyapunov exponents and phase transitions of charged AdS black holes
• Magnetic Catalysis in Holographic Model with Two Types of Anisotropy for Heavy Quarks
• Anisotropic and frame dependent chaos of suspended strings from a dynamical holographic QCD model with magnetic field
• Bound on Lyapunov exponent in Kerr-Newman-de Sitter black holes by a charged particle
• Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD
• Classical and quantum chaos of closed strings on a charged confining holographic background