Particle Motion and Chaos
Joint Authors
Source
Advances in High Energy Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-11
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
In this note, we consider particle falling in the black hole with an additional potential.
Following the proposal by Susskind (2018), we study the growth rate of the particle’s Rindler momentum, which corresponds to the growth rate of the operator size in the dual chaotic system.
A general analysis near the horizon shows that the growth rate of the particle’s Rindler momentum of the particle falling with a regular potential is the same as that of the particle free falling, which saturates the chaos bound.
However, when the potential is singular, the growth rate is suppressed such that it is below the Lyapunov exponent.
It implies that the chaos suppression may be captured by an additional singular potential in the gravity side.
We further explicitly study a particle falling in hyperscaling violating spacetime to confirm the general analysis results.
Finally, we study the particle falling in AdS soliton geometry.
It also exhibits a suppression of the growth of the Rindler momentum.
It is attributed to that when the repulsive potential is introduced or the black hole horizon is absent, the particle is slowed down, and its trajectory seen by a comoving observer is timelike, which corresponds to a weak chaos system.
American Psychological Association (APA)
Zhou, Zhenhua& Wu, Jian-Pin. 2020. Particle Motion and Chaos. Advances in High Energy Physics،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1126513
Modern Language Association (MLA)
Zhou, Zhenhua& Wu, Jian-Pin. Particle Motion and Chaos. Advances in High Energy Physics No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1126513
American Medical Association (AMA)
Zhou, Zhenhua& Wu, Jian-Pin. Particle Motion and Chaos. Advances in High Energy Physics. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1126513
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1126513