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In order to improve the teaching of the course of statistical physics in universities, in this article we introduce nonextensive statistics, a new statistical theory about complex systems. We study the two modification coefficients a and b…

General Physics · Physics 2018-09-12 Lining Zheng , Jiulin Du

We give a method to compute the smooth part of the density of states in a semi-classical expansion, when the Hamiltonian contains a Coulomb potential and non-cartesian coordinates are appropriate. We apply this method to the case of the…

Chaotic Dynamics · Physics 2009-11-11 Hervé Kunz , Thierry Schuepbach , Marc-André Dupertuis

Within the framework of macroscopic quantum electrodynamics, the resonant van der Waals potential experienced by an excited two-level atom near a planar magneto-electric two-layer system consisting of a slab of left-handed material and a…

Quantum Physics · Physics 2009-02-17 Agnes Sambale , Stefan Yoshi Buhmann , Dirk-Gunnar Welsch , Ho Trung Dung

A systematic study of the leading isotropic van der Waals coefficients for the alkali-metal atom + molecule and molecule + molecule systems is presented. Dipole moments and static and dynamic dipole polarizabilities are calculated employing…

Atomic Physics · Physics 2013-02-22 P. S. Zuchowski , M. Kosicki , M. Kodrycka , P. Soldan

The hydrogen atom is supposed to be described by a generalization of Schr\"{o}dinger equation, in which the Hamiltonian depends on an iterated Laplacian and a Coulomb-like potential $r^{-\beta}$. Starting from previously obtained solutions…

Quantum Physics · Physics 2024-03-25 Francisco Caruso , Vitor Oguri , Felipe Silveira

The hydrodynamic attractor is a concept that describes universal equilibration behavior in which systems lose microscopic details before hydrodynamics becomes applicable. We propose a setup to observe hydrodynamic attractors in ultracold…

Quantum Gases · Physics 2025-06-18 Keisuke Fujii , Tilman Enss

We propose a practical approach to spin-polarized systems within the van der Waals density functional (vdW-DF). The method was applied to a gas phase oxygen molecule and a parallel (H-type) pair of oxygen molecules. It was found that vdW-DF…

Materials Science · Physics 2013-10-16 Masao Obata , Makoto Nakamura , Ikutaro Hamada , Tatsuki Oda

The complete set of 2nd, 3rd and 4th order van der Waals coefficients, C_n up to n=32 for the H(1s)-H(1s) dimer are computed using pseudo-states to evaluate the appropriate sum rules. A study of the convergence pattern for n<=16 indicates…

Atomic Physics · Physics 2007-05-23 J. Mitroy , M. W. J. Bromley

A local approximation for dynamic polarizability leads to a nonlocal functional for the long-range dispersion interaction energy via an imaginary-frequency integral. We analyze several local polarizability approximations and argue that the…

Chemical Physics · Physics 2015-03-17 Oleg A. Vydrov , Troy Van Voorhis

We propose an extension of the law of corresponding states that can be applied to systems - such as colloidal suspensions - that have widely different ranges of attractive interactions. We argue that, for such systems, the ``reduced''…

Soft Condensed Matter · Physics 2009-10-31 Massimo G. Noro , Daan Frenkel

We generalize derivation of partition functions of the grand canonical ensemble for the multicomponent van der Waals gas of interacting particles by hardcore potentials to the case of the attractive large-distance mean field. The formulas…

High Energy Physics - Phenomenology · Physics 2019-09-19 Yaroslav Krivenko-Emetov

At long distances interactions between neutral ground state atoms can be described by the Van der Waals potential V(r) =-C6/r^6-C8/r^8 - ... . In the ultra-cold regime atom-atom scattering is dominated by s-waves phase shifts given by an…

Other Condensed Matter · Physics 2013-05-29 A. Calle Cordon , E. Ruiz Arriola

The van der Waals potential of two atoms in the presence of an arbitrary arrangement of dispersing and absorbing magnetodielectric bodies is studied. Starting from a polarizable atom placed within a given geometry, its interaction with a…

Quantum Physics · Physics 2007-09-11 Stefan Yoshi Buhmann , Hassan Safari , Ho Trung Dung , Dirk-Gunnar Welsch

The percolation of a liquid through a porous material is investigated with the help of equations of the Onsager type. An expression is derived for the molecular attraction, starting from Sutherland's potential approximation to the van der…

Other Condensed Matter · Physics 2015-05-13 D. Mostacci , V. Molinari , M. Premuda

Recently, a system with uniformly hyperbolic attractor of Smale-Williams type has been suggested [Kuznetsov, Phys. Rev. Lett., 95, 144101, 2005]. This system consists of two coupled non-autonomous van der Pol oscillators and admits simple…

Chaotic Dynamics · Physics 2008-04-24 Pavel V. Kuptsov , Sergey P. Kuznetsov , Igor R. Sataev

This contribution briefly reviews some recent work demonstrating the partial breakdown of the colloidal fluid <--> atomic fluid analogy. The success of liquid state theory for atomic fluids stems in part from the van der Waals picture,…

Soft Condensed Matter · Physics 2009-11-07 A. A. Louis

We survey the theory of attractors of nonlinear Hamiltonian partial differential equations since its appearance in 1990. These are results on global attraction to stationary states, to solitons and to stationary orbits, on adiabatic…

Analysis of PDEs · Mathematics 2023-01-02 Andrew Comech , Alexander Komech , Elena Kopylova

In principle, density functional theory yields the correct ground-state densities and energies of electronic systems under the action of a static external potential. However, traditional approximations fail to include Van der Waals energies…

Condensed Matter · Physics 2016-08-31 Walter Kohn , Yigal Meir , Dmitrii E. Makarov

In a framework for long-range density-functional theory we present a unified full-field treatment of the asymptotic van der Waals interaction for atoms, molecules, surfaces, and other objects. The only input needed consists of the electron…

Condensed Matter · Physics 2009-10-31 Erika Hult , Henrik Rydberg , Bengt I. Lundqvist , David C. Langreth

We present a formula for the body-assisted van der Waals interaction potential between two atoms, one or both being prepared in an excited energy eigenstate. The presence of arbitrary arrangement for material environment is taken into…

Quantum Physics · Physics 2015-01-12 Hassan Safari , Mohammad Reza Karimpour