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We consider the Casimir force acting on a $d$-dimensional rectangular piston due to massless scalar field with periodic, Dirichlet and Neumann boundary conditions and electromagnetic field with perfect electric conductor and perfect…

高能物理 - 理论 · 物理学 2009-11-13 S. C. Lim , L. P. Teo

The spatial suppression of order parameter fluctuations in a critical media produces Critical Casimir forces acting on confining surfaces. This scenario is realized in a critical binary mixture near the demixing transition point that…

统计力学 · 物理学 2014-10-03 Oleg A. Vasilyev

We evaluate the Hadamard function, the vacuum expectation values (VEVs) of the field squared and the energy-momentum tensor for a massive scalar field with general curvature coupling parameter in the geometry of two parallel plates on a…

高能物理 - 理论 · 物理学 2017-04-05 E. R. Bezerra de Mello , A. A. Saharian , M. R. Setare

We study the crossover from low- to high-temperature fluctuations including critical fluctuations in confined isotropic O$(n)$-symmetric systems on the basis of a finite-size renormalization-group approach at fixed dimension $d$ introduced…

统计力学 · 物理学 2018-06-27 Volker Dohm

Using exact partition functions and finite-size corrections for the Ising model on finite square, plane triangular, and honeycomb lattices, we obtain universal finite-size scaling functions for the specific heat, the internal energy, and…

统计力学 · 物理学 2009-11-10 Ming-Chya Wu , Chin-Kun Hu , N. Sh. Izmailian

The vacuum expectation values of the energy--momentum tensor are investigated for massless scalar fields satisfying Dicichlet or Neumann boundary conditions, and for the electromagnetic field with perfect conductor boundary conditions on…

高能物理 - 理论 · 物理学 2011-07-19 R. M. Avagyan , A. A. Saharian , A. H. Yeranyan

The Wightman function and the vacuum expectation values of the field squared and of the energy-momentum tensor are obtained, for a massive scalar field with an arbitrary curvature coupling parameter, in the region between two infinite…

高能物理 - 理论 · 物理学 2013-05-29 E. Elizalde , A. A. Saharian , T. A. Vardanyan

Anisotropy effects on the finite-size critical behavior of a two-dimensional Ising model on a general triangular lattice in an infinite-strip geometry with periodic, antiperiodic, and free boundary conditions (bc) in the finite direction…

统计力学 · 物理学 2012-10-05 Boris Kastening

In this work the Casimir effect is studied for scalar fields in the presence of boundaries and under the influence of arbitrary smooth potentials of compact support. In this setting, piston configurations are analyzed in which the piston is…

高能物理 - 理论 · 物理学 2013-02-27 Matthew Beauregard , Guglielmo Fucci , Klaus Kirsten , Pedro Morales

The Casimir force between two parallel plates in the G\"odel universe is computed for a scalar field at finite temperature. It is observed that when the plates separation is comparable with the scale given by the rotation of the space-time,…

高能物理 - 理论 · 物理学 2019-08-22 Sh. Khodabakhshi , A. Shojai

We rederive the finite size scaling formula for the apparent critical temperature by using Mean Field Theory for the Ising Model above the upper critical dimension. We have also performed numerical simulations in five dimensions and our…

凝聚态物理 · 物理学 2009-10-28 Giorgio Parisi , Juan J. Ruiz-Lorenzo

The collective behaviour of statistical systems close to critical points is characterized by an extremely slow dynamics which, in the thermodynamic limit, eventually prevents them from relaxing to an equilibrium state after a change in the…

统计力学 · 物理学 2009-07-13 Andrea Gambassi

We study the spin n-point functions of the planar Ising model on a simply connected domain \Omega discretised by the square lattice \delta\mathbb{Z}^{2} under near-critical scaling limit. While the scaling limit on the full-plane \mathbb{C}…

概率论 · 数学 2019-07-09 S. C. Park

In ferromagnetic spin models above the critical temperature ($T > T_{cr}$) the partition function zeros accumulate at complex values of the magnetic field ($H_E$) with a universal behavior for the density of zeros $\rho (H) \sim | H - H_E…

统计力学 · 物理学 2009-11-13 D. Dalmazi , F. L. Sá

We investigate the finite-temperature Casimir effect for a (1+1)-dimensional scalar field interacting with a pair of delta-function potentials. We employ the canonical quantization method to compute the Casimir force and entropy,…

量子物理 · 物理学 2025-10-28 Liang Chen , Xu-Feng Zhao , Shao-Zhe Lu

We consider a real scalar field in de Sitter background and compute its thermal propagators. We propose that in a dS/CFT context, non-trivial thermal effects as seen by an 'out' observer can be encoded in the anomalous dimensions of the $d…

高能物理 - 理论 · 物理学 2023-10-10 Nikos Irges , Antonis Kalogirou , Fotis Koutroulis

The high-temperature expansion coefficients of the ordinary and the higher susceptibilities of the spin-1/2 nearest-neighbor Ising model are calculated exactly up to the 20th order for a general d-dimensional (hyper)-simple-cubical lattice.…

高能物理 - 格点 · 物理学 2012-09-21 P. Butera

Thermodynamic Casimir forces of film systems in the O$(n)$ universality classes with Dirichlet boundary conditions are studied below bulk criticality. Substantial progress is achieved in resolving the long-standing problem of describing…

统计力学 · 物理学 2014-09-30 V. Dohm

We evaluate the Casimir energy and force for a massive scalar field with general curvature coupling parameter, subject to Robin boundary conditions on two codimension-one parallel plates, located on a $(D+1)$-dimensional background…

高能物理 - 理论 · 物理学 2009-12-10 E. Elizalde , S. D. Odintsov , A. A. Saharian

In this letter, we derive the explicit exact formulas for the finite temperature Casimir force acting on a pair of parallel plates in the presence of extra compactified dimensions within the framework of Kaluza-Klein theory. Using the…

高能物理 - 理论 · 物理学 2009-02-26 L. P. Teo