Particle Motion and Chaos
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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/1670362 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850177964777406464 |
|---|---|
| author | Zhenhua Zhou Jian-Pin Wu |
| author_facet | Zhenhua Zhou Jian-Pin Wu |
| author_sort | Zhenhua Zhou |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-bd007dd0a1bd40ab8c5a12e755b9e87f |
| institution | OA Journals |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-bd007dd0a1bd40ab8c5a12e755b9e87f2025-08-20T02:18:51ZengWileyAdvances in High Energy Physics1687-73571687-73652020-01-01202010.1155/2020/16703621670362Particle Motion and ChaosZhenhua Zhou0Jian-Pin Wu1School of Physics and Electronic Information, Yunnan Normal University, Kunming 650500, ChinaCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, ChinaIn 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.http://dx.doi.org/10.1155/2020/1670362 |
| spellingShingle | Zhenhua Zhou Jian-Pin Wu Particle Motion and Chaos Advances in High Energy Physics |
| title | Particle Motion and Chaos |
| title_full | Particle Motion and Chaos |
| title_fullStr | Particle Motion and Chaos |
| title_full_unstemmed | Particle Motion and Chaos |
| title_short | Particle Motion and Chaos |
| title_sort | particle motion and chaos |
| url | http://dx.doi.org/10.1155/2020/1670362 |
| work_keys_str_mv | AT zhenhuazhou particlemotionandchaos AT jianpinwu particlemotionandchaos |