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Chaotic dynamics of a suspended string in a gravitational background with magnetic field
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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 Poincar\'e 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.
Forward citations
Cited by 2 Pith papers
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Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD
In a holographic QCD model, chaotic string dynamics appear only for unstable configurations near the horizon, and magnetic field and chemical potential affect chaos oppositely in string and Einstein frames.
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Comparative study of the butterfly velocity in holographic QCD models at finite temperature and chemical potential
Using three independent holographic methods, the authors obtain matching butterfly velocities for four QCD-like models and find a universal increase with temperature and decrease with chemical potential.
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