Particle dynamics in a virtual harmonic potential

Author(s):  
Momčilo Gavrilov ◽  
Yonggun Jun ◽  
John Bechhoefer
2020 ◽  
Vol 35 (18) ◽  
pp. 2050081 ◽  
Author(s):  
Surojit Dalui ◽  
Bibhas Ranjan Majhi ◽  
Pankaj Mishra

The ongoing conjecture that the presence of horizon may induce chaos in an integrable system, is further investigated from the perspective of a uniformly accelerated frame. Particularly, we build up a model which consists of a particle (massless and chargeless) trapped in harmonic oscillator in a uniformly accelerated frame (namely Rindler observer). Here, the Rindler frame provides a Killing horizon without any intrinsic curvature to the system. This makes the present observations different from previous studies. We observe that for some particular values of parameters of the system (like acceleration, energy of the particle), the motion of the particle trapped in harmonic potential systematically goes from periodic state to the chaotic. This indicates that the existence of horizon alone, not the intrinsic curvature (i.e. the gravitational effect) in the background, is sufficient to induce the chaotic motion in the particle. We believe the present study further enlighten and balustrade the conjecture.


1998 ◽  
Vol 08 (PR6) ◽  
pp. Pr6-109-Pr6-113
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F. Sciortino ◽  
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S.-H. Chen

2019 ◽  
Author(s):  
Ting Liu ◽  
Anupam Mishra ◽  
Mohsen Torabi ◽  
Ahmed A. Hemeda ◽  
James Palko ◽  
...  

2005 ◽  
Vol 42 (3) ◽  
pp. 180-183 ◽  
Author(s):  
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U. Frieske ◽  
H. Kuhn ◽  
G. Schmid ◽  
F. Müller ◽  
...  

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