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.

arXiv comment19 pages, 13 figures, 2 tables

References in corpus (26)

• Gauge Theory Correlators from Non-Critical String Theory
• A bound on chaos
• Wilson loops in large N field theories
• Black holes and the butterfly effect
• Magnetic Brane Solutions in AdS
• Charged Magnetic Brane Solutions in AdS_5 and the fate of the third law of thermodynamics
• Presence of horizon makes particle motion chaotic
• Chaos in the black hole S-matrix
• Chaotic strings in AdS/CFT
• Wilson Loops in string duals of Walking and Flavored Systems
• Thermo-magnetic evolution of the QCD strong coupling
• Inverse Magnetic Catalysis in the Soft-Wall Model of AdS/QCD
• Falling Toward Charged Black Holes
• 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
• Near horizon local instability and quantum thermality
• Chaos of Wilson Loop from String Motion near Black Hole Horizon
• Polyakov loop and heavy quark entropy in strong magnetic fields from holographic black hole engineering
• When things stop falling, chaos is suppressed
• Magnetic catalysis and the chiral condensate in holographic QCD
• The fate of chaotic strings in a confining geometry
• Chaos in a $Q\bar{Q}$ system at finite temperature and baryon density
• Chaos, Diffusivity, and Spreading of Entanglement in Magnetic Branes, and the Strengthening of the Internal Interaction
• Chaos of QCD string from holography
• 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