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The new combined formulas have been established for the complex and real rotation-angular functions arising in the evaluation of two-center overlap integrals over arbitrary atomic orbitals in molecular coordinate system. These formulas can…

Chemical Physics · Physics 2013-02-12 I. I. Guseinov

The Casimir force has been computed exactly for only a few simple geometries, such as infinite plates, cylinders, and spheres. We show that a parabolic cylinder, for which analytic solutions to the Helmholtz equation are available, is…

We introduce a method for computing quantum mechanical forces through surface integrals over the stress tensor within the framework of density functional theory. This approach avoids the inaccuracies of traditional force calculations using…

Chemical Physics · Physics 2025-01-31 Moritz Gubler , Jonas A. Finkler , Stig Rune Jensen , Stefan Goedecker , Luca Frediani

We calculate the Casimir-Lifshitz pressure in a system consisting of two different 1D dielectric lamellar gratings having two different temperatures and immersed in an environment having a third temperature. The calculation of the pressure…

Quantum Physics · Physics 2015-06-22 Antonio Noto , Riccardo Messina , Brahim Guizal , Mauro Antezza

The interaction between drifting carriers and traveling electromagnetic waves is considered within the context of the classical Boltzmann transport equation to compute the Casimir-Lifshitz force between media with small density of charge…

Quantum Physics · Physics 2015-05-13 Diego A. R. Dalvit , Steve K. Lamoreaux

Intraband and interband contributions to the current-driven spin-orbit torque in magnetic materials lacking inversion symmetry are theoretically studied using Kubo formula. In addition to the current-driven field-like torque ${\bf T}_{\rm…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Hang Li , H. Gao , Liviu P. Zârbo , K. Výborný , Xuhui Wang , Ion Garate , Fatih Doǧan , A. Čejchan , Jairo Sinova , T. Jungwirth , Aurélien Manchon

This work examines the physical effect of the edge-induced acoustic radiation force and torque on an acoustically radiating circular source, located near a rigid corner. Assuming harmonic (linear) radiating waves of the source, vibrating in…

Classical Physics · Physics 2019-12-03 F. G. Mitri

Based on a perturbative approach, a series expansion in susceptibility function of the medium is obtained for the Casimir force between arbitrary shaped objects immersed in a scalar or vector fluctuating field in arbitrary dimensions.…

Quantum Physics · Physics 2015-06-05 Fardin Kheirandish , Marjan Jafari

We present several closed-form expressions of useful mass distributions. These include the potentials and accelerations of circular rings and arcs, the potentials of uniform density rings and arcs at arbitrary eccentricities, and the…

Earth and Planetary Astrophysics · Physics 2025-12-19 Zachary Murray

We develop an exact method for computing the Casimir energy between arbitrary compact objects, either dielectrics or perfect conductors. The energy is obtained as an interaction between multipoles, generated by quantum current fluctuations.…

Statistical Mechanics · Physics 2008-11-26 T. Emig , N. Graham , R. L. Jaffe , M. Kardar

In this paper, dedicated to Johan H{\o}ye on the occasion of his 70th birthday, we examine manifestations of Casimir torque in the weak-coupling approximation, which allows exact calculations so that comparison with the universally…

High Energy Physics - Theory · Physics 2013-09-03 Kimball A. Milton , Prachi Parashar , William Long

We discuss the recent result by Xiang Chen (Int. J. Mod. Phys. 27(14) 1350066 (2013)) and show that the formula obtained for the Casimir torque in the systems of two isotropic rotating particles (plates) is incorrect.

Other Condensed Matter · Physics 2014-03-24 Arthur Kyasov , George Dedkov

We introduce a novel computational approach for the investigation of complex correlated electron materials which makes it possible to evaluate interatomic forces and thereby determine atomic displacements and structural transformations…

Strongly Correlated Electrons · Physics 2014-04-24 I. Leonov , V. I. Anisimov , D. Vollhardt

The Casimir pressure is calculated between parallel metal plates, containing the materials Au, Cu, or Al. Our motivation for making this calculation is the need of comparing theoretical predictions, based on the Lifshitz formula, with…

Quantum Physics · Physics 2009-11-11 V. S. Bentsen , R. Herikstad , S. Skriudalen , I. Brevik , J. S. Høye

The design of structures submitted to aerodynamic loads usually requires the development of specific computational models considering fluid-structure interactions. Models using structural frame elements are developed in several relevant…

Fluid Dynamics · Physics 2022-04-25 Mauricio C. Vanzulli , Jorge M. Pérez Zerpa

The paper extends the formulation of a 2D geometrically exact beam element proposed in our previous paper [1] to curved elastic beams. This formulation is based on equilibrium equations in their integrated form, combined with the kinematic…

Computational Engineering, Finance, and Science · Computer Science 2022-10-06 Martin Horák , Emma La Malfa Ribolla , Milan Jirásek

The standard expression of the high-temperature Casimir force between perfect conductors is obtained by imposing macroscopic boundary conditions on the electromagnetic field at metallic interfaces. This force is twice larger than that…

Statistical Mechanics · Physics 2009-11-11 P. R. Buenzli , Ph. A. Martin

Transmission-line waveguides can mediate long-range fluctuation-induced forces between neutral objects. We present two approaches for the description of these forces between electric components embedded in transmission-line circuits. The…

Quantum Physics · Physics 2017-06-14 Ephraim Shahmoon

Within the scattering theoretical approach, the Casimir force is obtained numerically by an evaluation of the round trip of an electromagnetic wave between the objects involved. Recently [Hartmann M et al. 2017, Phys. Rev. Lett. 119 043901]…

Quantum Physics · Physics 2018-10-17 Michael Hartmann , Gert-Ludwig Ingold , Paulo A. Maia Neto

We develop a discretized theory of thermal Casimir interactions to numerically calculate the interactions between fluctuating dielectrics. From a constrained partition function we derive a surface free energy, while handling divergences…

Statistical Mechanics · Physics 2009-11-13 S. Pasquali , F. Nitti , A. C. Maggs
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