Casimir force between integrable and chaotic pistons

We have computed numerically the Casimir force between two identical pistons inside a very long cylinder, considering different shapes for the pistons. The pistons can be considered quantum billiards, whose spectrum determines the vacuum force. The smooth part of the spectrum fixes the force at shor...

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Autores principales: Álvarez, E., Mazzitelli, F.D., Monastra, A.G., Wisniacki, D.A.
Formato: JOUR
Materias:
Casimir effects
Casimir force
Chaotic classical dynamics
Classical dynamics
Geometric quantities
Quantum billiards
Quantum chaos
Short distances
Sudden change
Vacuum force
Cylinders (shapes)
Engines
Numerical analysis
Pistons
Quantum theory
Chaotic systems
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10502947_v82_n5_p_Alvarez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_10502947_v82_n5_p_Alvarez
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spelling todo:paper_10502947_v82_n5_p_Alvarez2023-10-03T16:00:07Z Casimir force between integrable and chaotic pistons Álvarez, E. Mazzitelli, F.D. Monastra, A.G. Wisniacki, D.A. Casimir effects Casimir force Chaotic classical dynamics Classical dynamics Geometric quantities Quantum billiards Quantum chaos Short distances Sudden change Vacuum force Cylinders (shapes) Engines Numerical analysis Pistons Quantum theory Chaotic systems We have computed numerically the Casimir force between two identical pistons inside a very long cylinder, considering different shapes for the pistons. The pistons can be considered quantum billiards, whose spectrum determines the vacuum force. The smooth part of the spectrum fixes the force at short distances and depends only on geometric quantities like the area or perimeter of the piston. However, correcting terms to the force, coming from the oscillating part of the spectrum which is related to the classical dynamics of the billiard, could be qualitatively different for classically integrable or chaotic systems. We have performed a detailed numerical analysis of the corresponding Casimir force for pistons with regular and chaotic classical dynamics. For a family of stadium billiards, we have found that the correcting part of the Casimir force presents a sudden change in the transition from regular to chaotic geometries. This suggests that there could be signatures of quantum chaos in the Casimir effect. © 2010 The American Physical Society. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Monastra, A.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v82_n5_p_Alvarez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Casimir effects
Casimir force
Chaotic classical dynamics
Classical dynamics
Geometric quantities
Quantum billiards
Quantum chaos
Short distances
Sudden change
Vacuum force
Cylinders (shapes)
Engines
Numerical analysis
Pistons
Quantum theory
Chaotic systems
spellingShingle Casimir effects
Casimir force
Chaotic classical dynamics
Classical dynamics
Geometric quantities
Quantum billiards
Quantum chaos
Short distances
Sudden change
Vacuum force
Cylinders (shapes)
Engines
Numerical analysis
Pistons
Quantum theory
Chaotic systems
Álvarez, E.
Mazzitelli, F.D.
Monastra, A.G.
Wisniacki, D.A.
Casimir force between integrable and chaotic pistons
topic_facet Casimir effects
Casimir force
Chaotic classical dynamics
Classical dynamics
Geometric quantities
Quantum billiards
Quantum chaos
Short distances
Sudden change
Vacuum force
Cylinders (shapes)
Engines
Numerical analysis
Pistons
Quantum theory
Chaotic systems
description We have computed numerically the Casimir force between two identical pistons inside a very long cylinder, considering different shapes for the pistons. The pistons can be considered quantum billiards, whose spectrum determines the vacuum force. The smooth part of the spectrum fixes the force at short distances and depends only on geometric quantities like the area or perimeter of the piston. However, correcting terms to the force, coming from the oscillating part of the spectrum which is related to the classical dynamics of the billiard, could be qualitatively different for classically integrable or chaotic systems. We have performed a detailed numerical analysis of the corresponding Casimir force for pistons with regular and chaotic classical dynamics. For a family of stadium billiards, we have found that the correcting part of the Casimir force presents a sudden change in the transition from regular to chaotic geometries. This suggests that there could be signatures of quantum chaos in the Casimir effect. © 2010 The American Physical Society.
format JOUR
author Álvarez, E.
Mazzitelli, F.D.
Monastra, A.G.
Wisniacki, D.A.
author_facet Álvarez, E.
Mazzitelli, F.D.
Monastra, A.G.
Wisniacki, D.A.
author_sort Álvarez, E.
title Casimir force between integrable and chaotic pistons
title_short Casimir force between integrable and chaotic pistons
title_full Casimir force between integrable and chaotic pistons
title_fullStr Casimir force between integrable and chaotic pistons
title_full_unstemmed Casimir force between integrable and chaotic pistons
title_sort casimir force between integrable and chaotic pistons
url http://hdl.handle.net/20.500.12110/paper_10502947_v82_n5_p_Alvarez
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AT mazzitellifd casimirforcebetweenintegrableandchaoticpistons
AT monastraag casimirforcebetweenintegrableandchaoticpistons
AT wisniackida casimirforcebetweenintegrableandchaoticpistons
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