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In this paper the exact solution and correlation functions for a double-chain Ising model with multi-spin interactions and symmetric Hamiltonian density are obtained. The study employs the transfer matrix method to derive fundamental…

Statistical Mechanics · Physics 2025-11-21 Pavel Khrapov , Stepan Shchurenkov

A general analytical expression has been obtained in the diffraction approximation for the polarization of nucleons arising in the deuteron stripping reaction on nuclei at intermediate energies of the incident particles. A tabulated density…

Nuclear Theory · Physics 2018-10-23 Valery I. Kovalchuk

Polytropic models play a very important role in galactic dynamics and in the theory of stellar structure and evolution. However, in general, the solution of the Lane-Emden equation can not be given analytically but only numerically. In the…

Astrophysics · Physics 2015-06-24 F. K. Liu

We discuss several aspects of the dielectric response theory application to the density functional theory. This field has been an unceasing source of confusion during several decades. The most frequent reasons for this confusion are (a)…

Condensed Matter · Physics 2008-02-03 I. I. Mazin , R. E. Cohen

Interaction between two interpenetrating spherically symmetric charge distributions has been calculated. Limited range terms appear in addition to the Coulomb potential. Its strength increases and range decreases with reducing sizes of the…

Nuclear Theory · Physics 2009-03-20 A. Mukherji

A general approach to calculate the diabatic surfaces for electron-transfer reactions is presented, based on first-principles molecular dynamics of the active centers and their surrounding medium. The excitation energy corresponding to the…

Materials Science · Physics 2009-11-11 P. H. -L. Sit , Matteo Cococcioni , Nicola Marzari

When a $\gamma$-ray interacts in a semiconductor detector, the resulting electron-hole charge clouds drift towards their respective electrodes for signal collection. These charge clouds will expand over time due to both thermal diffusion…

Instrumentation and Methods for Astrophysics · Physics 2023-04-20 Steven E. Boggs

The Born effective charges of component atoms and phonon spectra of a tetrahedrally coordinated crystalline ice are calculated from the first principles method based on density functional theory within the generalized gradient approximation…

Materials Science · Physics 2007-05-23 W. A. Adeagbo , P. Entel

In this research we report the dielectric response of a finite temperature electron gas, electrostatically interacting with both external and self-induced plasmonic fields, in the well-known random phase approximation. The generalized…

Plasma Physics · Physics 2022-11-16 M. Akbari-Moghanjoughi

When a molecule dissociates, the exact Kohn-Sham (KS) and Pauli potentials may form step structures. Reproducing these steps correctly is central for the description of dissociation and charge-transfer processes in density functional theory…

Chemical Physics · Physics 2021-03-23 Jakub Kocák , Eli Kraisler , Axel Schild

We consider one-dimensional diffusions, with polynomial drift and diffusion coefficients, so that in particular the motion can be space-inhomogeneous, interacting via one-sided reflections. The prototypical example is the well-known model…

Probability · Mathematics 2023-07-05 Theodoros Assiotis

Charge-transfer cold Yb$^+$ + Rb collision dynamics is investigated theoretically using high-level {\it ab initio} potential energy curves, dipole moment functions and nonadiabatic coupling matrix elements. Within the scalar-relativistic…

Excitation and charge transfer in low-energy O+H collisions is studied; it is a problem of importance for modelling stellar spectra and obtaining accurate oxygen abundances in late-type stars including the Sun. The collisions have been…

Solar and Stellar Astrophysics · Physics 2018-02-28 P. S. Barklem

We calculate the Casimir interaction between a sphere and a plate, both described by the plasma model, the Drude model, or generalizations of the two models. We compare the results at both zero and finite temperatures. At asymptotically…

Statistical Mechanics · Physics 2015-05-18 Roya Zandi , Thorsten Emig , Umar Mohideen

The charge exchange reaction pp $\rightarrow$ n $\Delta^{++}$ at high energies is examined. The cross section of this reaction is estimated for RHIC and LHC energies based on data taken at the lower energies of the Intersecting Storage Ring…

High Energy Physics - Phenomenology · Physics 2013-11-06 R. Schicker , L. Jenkovszky , O. Kuprash

We study whether fine discretization (i.e., terracing) of continuous pair interactions, when used in combination with first-order mean-spherical approximation theory, can lead to a simple and general analytical strategy for predicting the…

Soft Condensed Matter · Physics 2013-10-29 Kyle B. Hollingshead , Avni Jain , Thomas M. Truskett

The complex nature of electron-electron correlations is made manifest in the very simple but non-trivial problem of two electrons confined within a sphere. The description of highly non-local correlation and self-interaction effects by…

Other Condensed Matter · Physics 2016-08-16 J. Jung , P. García-González , J. E. Alvarellos , R. W. Godby

Exact self-consistent particle-like solutions with spherical and/or cylindrical symmetry to the equations governing the interacting system of scalar, electromagnetic and gravitational fields have been obtained. As a particular case it is…

General Relativity and Quantum Cosmology · Physics 2010-05-27 Yu. P. Rybakov , B. Saha , G. N. Shikin

We present a method for incorporating image-charge effects into the description of charge transport through molecular devices. A simple model allows us to calculate the adjustment of the transport levels, due to the polarization of the…

Mesoscale and Nanoscale Physics · Physics 2015-11-23 C. J. O. Verzijl , J. A. Celis Gil , M. L. Perrin , D. Dulić , H. S. J. van der Zant , J. M. Thijssen

We analyze the mathematically rigorous BIBEE (boundary-integral based electrostatics estimation) approximation of the mixed-dielectric continuum model of molecular electrostatics, using the analytically solvable case of a spherical solute…

Computational Engineering, Finance, and Science · Computer Science 2015-05-30 Jaydeep P. Bardhan , Matthew G. Knepley
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