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We study analytically and numerically dynamics and eigenstates of two electrons with Coulomb repulsion on a tight-binding lattice in one and two dimensions. The total energy and momentum of electrons are conserved and we show that for a…

Superconductivity · Physics 2020-06-18 Klaus M. Frahm , Dima L. Shepelyansky

We construct the complementary short-range correlation relativistic local-density-approximation functional to be used in relativistic range-separated density-functional theory based on a Dirac-Coulomb Hamiltonian in the no-pair…

Chemical Physics · Physics 2021-05-26 Julien Paquier , Julien Toulouse

We describe geometrically contact Lagrangian systems under impulsive forces and constraints, as well as instantaneous nonholonomic constraints which are not uniform along the configuration space. In both situations, the vector field…

Mathematical Physics · Physics 2023-01-24 Leonardo J. Colombo , Manuel de León , Asier López-Gordón

It is proposed a Lagrangian for the quasi-rigid extended charged particle, which consists of a bare point particle term plus the standard electromagnetic minimal coupling. The quasi-rigid motion is imposed as a constraint. The extension of…

High Energy Physics - Theory · Physics 2008-11-26 Rodrigo Medina

The effect of long-ranged Coulomb interaction on the low energy properties (momentum distribution function, density of states, electron spectral function, and $4k_F$ correlation function) of one-dimensional electron systems is determined…

Strongly Correlated Electrons · Physics 2009-10-31 D. W. Wang , A. J. Millis , S. Das Sarma

We study a one-dimensional fluid of hard-rods interacting each other via binary inelastic collisions and a short ranged square-well potential. Upon tuning the depth and the sign of the well, we investigate the interplay between dissipation…

Statistical Mechanics · Physics 2009-11-11 Umberto Marini-Bettolo-Marconi , Maurizio Natali , Giulio Costantini , Fabio Cecconi

The covalent-like characteristics of hydrogen bonds offer a new perspective on intermolecular interactions. Here, using density functional theory and post-Hartree-Fock methods, we reveal that there are two bonding molecular orbitals (MOs)…

Atomic and Molecular Clusters · Physics 2015-07-09 Bo Wang , Wanrun Jiang , Xing Dai , Yang Gao , Zhigang Wang , Rui-Qin Zhang

Highly accurate results from frequency measurements on neutral hydrogen molecules H_2, HD and D_2 as well as the HD^+ ion can be interpreted in terms of constraints on possible fifth-force interactions. Where the hydrogen atom is a probe…

Atomic Physics · Physics 2015-06-15 E. J. Salumbides , J. C. J. Koelemeij , J. Komasa , K. Pachucki , K. S. E. Eikema , W. Ubachs

Hydrodynamic interactions between particles confined in a liquid-filled linear channel are known to be screened beyond a distance comparable to the channel width. Using a simple analytical theory and lattice-Boltzmann simulations, we show…

Soft Condensed Matter · Physics 2010-07-06 Derek Frydel , Haim Diamant

Reactive cross-sections for the collision of open shell S(^1D) atoms with ortho- and para-hydrogen, in the kinetic energy range 1-120 K, have been calculated using the hyperspherical quantum reactive scattering method developed by Launay et…

Chemical Physics · Physics 2017-09-13 Manuel Lara , F. Dayou , J. -M. Launay

We study the connection between Lagrangian and Hamiltonian descriptions of closed/open dynamics, for a collection of particles with quadratic interaction (closed system) and a sub-collection of particles with linear damping (open system).…

Classical Physics · Physics 2018-09-18 Farhang Haddad Farshi , Fernando Jiménez , Sina Ober-Blöbaum

Infrared pump-probe spectroscopy provides detailed information on the dynamics of hydrogen-bonded liquids. Due to dissipation of the absorbed pump pulse energy, also thermal equilibration dynamics contributes to the observed signal.…

Chemical Physics · Physics 2019-06-05 Riccardo Dettori , Michele Ceriotti , Johannes Hunger , Luciano Colombo , Davide Donadio

There is growing evidence that slow dynamics and dynamic heterogeneity possess structural signatures in glass-forming liquids. However, even in the weakly frustrated glass-forming liquids, whether or not the dynamic heterogeneity has a…

Soft Condensed Matter · Physics 2015-06-11 Wen-Sheng Xu , Zhao-Yan Sun , Li-Jia An

The thermodynamics of a homopolymeric chain with both Van der Waals and highly-directional hydrogen bond interaction is studied. The effect of hydrogen bonds is to reduce dramatically the entropy of low-lying states and to give raise to…

Condensed Matter · Physics 2009-10-31 J. Borg , M. H. Jensen , K. Sneppen , G. Tiana

Universal properties of the Coulomb interaction energy apply to all many-electron systems. Bounds on the exchange-correlation energy, inparticular, are important for the construction of improved density functionals. Here we investigate one…

Chemical Physics · Physics 2015-05-13 Mariana M. Odashima , K. Capelle

The influence of long-range Coulomb forces on the persistent current of a pinned Wigner crystal-ring is considered. A simple method is proposed for how to take into account Coulomb effects for the macroscopic quantum tunneling of the Wigner…

Condensed Matter · Physics 2016-08-14 I. V. Krive , P. Sandström , R. I. Shekhter , M. Jonson

The prototypical Hydrogen bond in water dimer and Hydrogen bonds in the protonated water dimer, in other small molecules, in water cyclic clusters, and in ice, covering a wide range of bond strengths, are theoretically investigated by…

Chemical Physics · Physics 2017-08-02 Pier Luigi Silvestrelli

Using numerical simulations we studied the long time relaxation of the hopping conductivity. Even though no modern computation is able to simulate the behavior of a large size system over minutes or hours so as to observe the relaxation,…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. N. Tsigankov , E. Pazy , B. D. Laikhtman , A. L. Efros

Hydrogen bonding plays a crucial role in biology and technology, yet it remains poorly understood and quantified despite its fundamental importance. Traditional models, which describe hydrogen bonds as electrostatic interactions between…

We show that the contact dynamics obtained from the Herglotz variational principle can be described as a constrained nonholonomic or vakonomic ordinary Lagrangian system depending on a dissipative variable with an adequate choice of one…

Mathematical Physics · Physics 2022-02-02 Manuel de León , Manuel Laínz , Miguel C. Muñoz-Lecanda , Narciso Román-Roy