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It is well understood that the studies of correlations between produced particles, the effects of coherence and chaoticity, an estimation of particle emitting source size play an important role in high energy physics [1]. First of all, we…

High Energy Physics - Phenomenology · Physics 2010-05-04 G. A. Kozlov

Coherent propagation of two interacting particles in $1d$ weak random potential is considered. An accurate estimate of the matrix element of interaction in the basis of localized states leads to mapping onto the relevant matrix model. This…

Statistical Mechanics · Physics 2009-10-28 I. V. Ponomarev , P. G. Silvestrov

In this note, we study two-point correlation functions of modular Hamiltonians. We show that in general quantum systems, these correlators obey properties similar to those of von Neumann entropy and capacity of entanglement, both of which…

High Energy Physics - Theory · Physics 2025-06-13 Mathew W. Bub , Allic Sivaramakrishnan

The general formula for the interaction potential between two point electric charges which contains the lowest order corrections to the vacuum polarization is derived and investigated. Analytical derivation of this formula is based on the…

Mathematical Physics · Physics 2013-10-08 Alexei M. Frolov

Strongly interacting systems appear in several areas of physics and are characterized by attractive interactions that can almost, or just barely, loosely bind two particles. Although this definition is made at the two-body level, this gives…

Atomic Physics · Physics 2024-07-03 Lucas Madeira

We study particle systems with singular pairwise interactions and non-vanishing diffusion in the mean-field scaling. A classical approach to describing corrections to mean-field behavior is through the analysis of correlation functions. For…

Analysis of PDEs · Mathematics 2025-10-03 Mitia Duerinckx , Pierre-Emmanuel Jabin

This paper discusses the elastic behavior of a very long crosslinked polyelectrolyte chain (Debye-H\"uckel chain), which is weakly charged. Therefore the response of the crosslinked chain (network) on an external constant force $f$ acting…

Soft Condensed Matter · Physics 2009-10-30 J. Wilder , T. A. Vilgis

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

The exactly solvable model of two indistinguishable quantum particles (bosons or fermions) confined in a one-dimensional harmonic trap and interacting via finite-range soft-core interaction is presented and many properties of the system are…

Quantum Gases · Physics 2018-01-09 Przemysław Kościk , Tomasz Sowiński

As is well known in electrolyte theory, electrostatic fields are attenuated by the presence of mobile charges in the solution. This seems to limit the possibility of an electrostatic repulsion model of biological interactions such as cell…

Biological Physics · Physics 2012-01-04 Eshel Faraggi

Three-body distribution functions in classical fluids have been theoretically investigated many times, but have never been measured directly. We present experimental three-point correlation functions that are computed from particle…

Soft Condensed Matter · Physics 2009-11-10 Carsten Russ , Klaus Zahn , Hans-Hennig von Grunberg

We study momentum distributions and short-range correlation probabilities in $A$=2 and $A$=3 systems. First, we show results with phenomenological and meson-theoretic two- and three-nucleon forces to verify consistency with previous similar…

Nuclear Theory · Physics 2019-03-27 L. E. Marcucci , F. Sammarruca , M. Viviani , R. Machleidt

We consider an overdamped Brownian particle moving in a confining asymptotically logarithmic potential, which supports a normalized Boltzmann equilibrium density. We derive analytical expressions for the two-time correlation function and…

Statistical Mechanics · Physics 2012-05-21 A. Dechant , E. Lutz , D. A. Kessler , E. Barkai

Understanding the short-range nucleon-nucleon interaction is essential for the interpretation of correlation femtoscopy measurements in high-energy hadronic and nuclear collisions. We present an analytical treatment of the strong…

Nuclear Theory · Physics 2026-02-12 Gleb Romanenko , Francesca Bellini

Dipole-dipole interaction is a long-range interaction, hence we could expect that the self-consistent field approximation might be applied. In most cases it is correct, but dipolar BECs reveal a surprise. Structure of the self-consistent…

Quantum Gases · Physics 2014-11-03 Pavel A. Andreev

Recently, a method was developed for implementing arbitrary short-range nucleon-nucleon correlations in Monte Carlo sampled nuclei (as well as deformations of the 1-body nuclear density). We use this method to implement realistic 2-body…

Nuclear Theory · Physics 2023-12-19 Matthew Luzum , João Paulo Picchetti , Mauricio Hippert , Jean-Yves Ollitrault

This paper is designed to be a practical tool for constructing and investigating two-point correlation functions in defect conformal field theory, directly in physical space, between any two bulk primaries or between a bulk primary and a…

High Energy Physics - Theory · Physics 2021-05-12 Christopher P. Herzog , Abhay Shrestha

This article presents a statistical-mechanical treatment of a relationship (the force equation) between the gravitational potential for two particles and the correlation functions in a relaxed distribution of particles with different…

Astrophysics · Physics 2011-05-23 Martin Lopez Corredoira

We study theoretically the velocity cross-correlations of a viscous fluid confined in a slit between two viscoelastic media. We analyze the effect of these correlations on the motions of particles suspended in the fluid. The compliance of…

Soft Condensed Matter · Physics 2017-09-14 Chen Bar-Haim , Haim Diamant

We study the effect of coherent propagation of two interacting particles in an effective 2-3-d disordered potential. Our numerical data demonstrate that in dimension $d > 2$, interaction can lead to two--particles delocalization below…

Condensed Matter · Physics 2009-10-28 Fausto Borgonovi , Dima Shepelyansky