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Quantities associated with Casimir forces are calculated in a model wave system of one spatial dimension with Dirichlet or Neumann boundary conditions. 1)Due to zero-point fluctuations, a partition is attracted to the walls of a box if the…

量子物理 · 物理学 2009-11-07 Timothy H. Boyer

We consider the finite temperature Casimir force acting on two parallel plates in a closed cylinder with the same cross section of arbitrary shape in the presence of extra dimensions. Dirichlet boundary conditions are imposed on one plate…

高能物理 - 理论 · 物理学 2017-08-23 L. P. Teo , K. Kirsten

We study a coupled system that describes the interacting dynamics between a bulk field, confined to a finite region with timelike boundary, and a boundary observable. In our system the dynamics of the boundary observable prescribes…

高能物理 - 理论 · 物理学 2020-04-14 Benito A. Juárez-Aubry , Ricardo Weder

We consider systems confined to a $d$-dimensional slab of macroscopic lateral extension and finite thickness $L$ that undergo a continuous bulk phase transition in the limit $L\to\infty$ and are describable by an O(n) symmetrical…

统计力学 · 物理学 2007-05-23 Daniel Dantchev , H. W. Diehl , Daniel Grüneberg

Casimir forces are a manifestation of the change in the zero-point energy of the vacuum caused by the insertion of boundaries. We show how the Casimir force can be computed by consideration of the vacuum fluctuations that are suppressed by…

统计力学 · 物理学 2007-12-13 Eugene B. Kolomeisky , Joseph P. Straley

We discuss the limitations of the applicability of the Lifshitz formula to describe the temperature dependence of the Casimir force between two bulk lossy metals. These limitations follow from the finite sizes of the interacting bodies.…

其他凝聚态物理 · 物理学 2015-05-13 V. A. Yampol'skii , Sergey Savel'ev , Z. A. Mayselis , S. S. Apostolov , Franco Nori

We present both analytical and numerical results for the behaviour of the Casimir force in a Ginzburg-Landau type model of a film of a simple fluid or binary liquid mixture in which the confining surfaces are strongly adsorbing but…

统计力学 · 物理学 2018-11-06 Daniel Dantchev , Vassil Vassilev , Peter Djondjorov

In this paper, the finite temperature Casimir force acting on a two-dimensional Casimir piston due to electromagnetic field is computed. It was found that if mixed boundary conditions are assumed on the piston and its opposite wall, then…

高能物理 - 理论 · 物理学 2009-03-19 L. P. Teo

In this article, we study the finite temperature Casimir effect for scalar field with Robin boundary conditions on two parallel plates in a background spacetime that has a compact internal manifold with arbitrary geometry. The finite…

高能物理 - 理论 · 物理学 2014-11-20 L. P. Teo

We study the Casimir effect for a three dimensional system of ideal free massive Bose gas in a slab geometry with Zaremba and anti-periodic boundary conditions. It is found that for these type of boundary conditions the resulting Casimir…

统计力学 · 物理学 2018-04-09 Mir Mehedi Faruk , Shovon Biswas

We consider the vacuum energy for a scalar field subject to a frequency dependent boundary condition. The effect of a frequency cut-off is described in terms of an {\it incomplete} $\zeta$-function. The use of the Debye asymptotic expansion…

高能物理 - 理论 · 物理学 2016-08-15 H. Falomir , K. Rébora , M. Loewe

We calculate modifications to the scalar Casimir force between two parallel plates due to space-time non-commutativity. We devise a heuristic approach to overcome the difficulties of describing boundaries in non-commutative theories and…

高能物理 - 理论 · 物理学 2008-11-26 Roberto Casadio , Alessandro Gruppuso , Benjamin Harms , Octavian Micu

We study the Casimir effect in the vicinity of a quantum critical point. As a prototypical system we analyze the $d$-dimensional imperfect (mean-field) Bose gas enclosed in a slab of extension $L^{d-1}\times D$ and subject to periodic…

统计力学 · 物理学 2016-07-08 P. Jakubczyk , M. Napiórkowski , T. Sęk

We study the thermodynamic Casimir force between a spherical object and a plate. We consider the bulk universality class of the three-dimensional Ising model, which is relevant for experiments on binary mixtures. To this end, we simulate…

统计力学 · 物理学 2013-02-27 Martin Hasenbusch

The dependence of the Casimir force on material properties is important for both future applications and to gain further insight on its fundamental aspects. Here we derive a general theory of the Casimir force for low-conducting compounds,…

介观与纳米尺度物理 · 物理学 2015-05-13 E. G. Galkina , B. A. Ivanov , Sergey E. Savel'ev , V. A. Yampol'skii , Franco Nori

We investigate the Casimir effect at finite temperature for a charged scalar field in the presence of an external uniform and constant magnetic field, perpendicular to the Casimir plates. We have used a boundary condition characterized by a…

高能物理 - 理论 · 物理学 2007-05-23 M. V. Cougo-Pinto , C. Farina , J. F. M. Mendes , A. Tort

We compute Casimir forces in open geometries with edges, involving parallel as well as perpendicular semi-infinite plates. We focus on Casimir configurations which are governed by a unique dimensional scaling law with a universal…

量子物理 · 物理学 2008-11-26 Holger Gies , Klaus Klingmuller

Finite size effect in critical systems can be interpreted as universal Casimir forces. Here we compare the Casimir force for free, periodic and antiperiodic boundary conditions in the exactly calculable case of the Ising model in one and…

统计力学 · 物理学 2010-01-08 Roya Zandi , Joseph Rudnick , Aviva Shackell , Douglas Abraham

I examine the effect of trying to impose a Dirichlet boundary condition on a scalar field by coupling it to a static background. The zero point -- or Casimir -- energy of the field diverges in the limit that the background forces the field…

高能物理 - 理论 · 物理学 2009-11-10 R. L. Jaffe

The exact critical Casimir force between periodically deformed boundaries of a 2D semi-infinite strip is obtained for conformally invariant classical systems. Only two parameters (conformal charge and scaling dimension of a boundary…

统计力学 · 物理学 2015-03-03 G. Bimonte , T. Emig , M. Kardar