Chaos in classical string dynamics in γˆ deformed AdS5×T1,1
We consider a circular string in γˆ deformed AdS5×T1,1 which is localized in the center of AdS5 and winds around the two circles of deformed T1,1. We observe chaos in the phase space of the circular string implying non-integrability of string dynamics. The chaotic behaviour in phase space is control...
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Format: | Article |
Language: | English |
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Elsevier
2016-10-01
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Series: | Physics Letters B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269316304415 |
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author | Kamal L. Panigrahi Manoranjan Samal |
author_facet | Kamal L. Panigrahi Manoranjan Samal |
author_sort | Kamal L. Panigrahi |
collection | DOAJ |
description | We consider a circular string in γˆ deformed AdS5×T1,1 which is localized in the center of AdS5 and winds around the two circles of deformed T1,1. We observe chaos in the phase space of the circular string implying non-integrability of string dynamics. The chaotic behaviour in phase space is controlled by energy as well as the deforming parameter γˆ. We further show that the point like object exhibits non-chaotic behaviour. Finally we calculate the Lyapunov exponent for both extended and point like object in support of our first result. |
first_indexed | 2024-12-21T23:30:28Z |
format | Article |
id | doaj.art-1520526b6eb44da6ae1d6af92950b558 |
institution | Directory Open Access Journal |
issn | 0370-2693 1873-2445 |
language | English |
last_indexed | 2024-12-21T23:30:28Z |
publishDate | 2016-10-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
spelling | doaj.art-1520526b6eb44da6ae1d6af92950b5582022-12-21T18:46:30ZengElsevierPhysics Letters B0370-26931873-24452016-10-01761C47548110.1016/j.physletb.2016.08.021Chaos in classical string dynamics in γˆ deformed AdS5×T1,1Kamal L. Panigrahi0Manoranjan Samal1Department of Physics, Indian Institute of Technology Kharagpur, Kharagpur-721 302, IndiaDepartment of Physics, Indian Institute of Technology Kharagpur, Kharagpur-721 302, IndiaWe consider a circular string in γˆ deformed AdS5×T1,1 which is localized in the center of AdS5 and winds around the two circles of deformed T1,1. We observe chaos in the phase space of the circular string implying non-integrability of string dynamics. The chaotic behaviour in phase space is controlled by energy as well as the deforming parameter γˆ. We further show that the point like object exhibits non-chaotic behaviour. Finally we calculate the Lyapunov exponent for both extended and point like object in support of our first result.http://www.sciencedirect.com/science/article/pii/S0370269316304415 |
spellingShingle | Kamal L. Panigrahi Manoranjan Samal Chaos in classical string dynamics in γˆ deformed AdS5×T1,1 Physics Letters B |
title | Chaos in classical string dynamics in γˆ deformed AdS5×T1,1 |
title_full | Chaos in classical string dynamics in γˆ deformed AdS5×T1,1 |
title_fullStr | Chaos in classical string dynamics in γˆ deformed AdS5×T1,1 |
title_full_unstemmed | Chaos in classical string dynamics in γˆ deformed AdS5×T1,1 |
title_short | Chaos in classical string dynamics in γˆ deformed AdS5×T1,1 |
title_sort | chaos in classical string dynamics in γ deformed ads5 t1 1 |
url | http://www.sciencedirect.com/science/article/pii/S0370269316304415 |
work_keys_str_mv | AT kamallpanigrahi chaosinclassicalstringdynamicsingˆdeformedads5t11 AT manoranjansamal chaosinclassicalstringdynamicsingˆdeformedads5t11 |