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We derive finite temperature versions of integral formulae for the two-point correlation functions in the antiferromagnetic XXZ chain. The derivation is based on the summation of density matrix elements characterizing a finite chain segment…

Statistical Mechanics · Physics 2011-02-16 Frank Göhmann , Nils P. Hasenclever , Alexander Seel

Dipole moments are a simple, global measure of the accuracy of the electron density of a polar molecule. Dipole moments also affect the interactions of a molecule with other molecules as well as electric fields. To directly assess the…

Chemical Physics · Physics 2018-04-11 Diptarka Hait , Martin Head-Gordon

The microscopic quantum field theory origins of warm inflation dynamics are reviewed. The warm inflation scenario is first described along with its results, predictions and comparison with the standard cold inflation scenario. The basics of…

High Energy Physics - Phenomenology · Physics 2009-02-25 Arjun Berera , Ian G. Moss , Rudnei O. Ramos

We discuss a simple toy model which allows, in a natural way, for deriving central facts from thermodynamics such as its fundamental laws, including Carnot's version of the second principle. Our viewpoint represents thermodynamic systems as…

Quantum Physics · Physics 2022-05-17 Ämin Baumeler , Carla Rieger , Stefan Wolf

Multivariate functional data can be intrinsically multivariate like movement trajectories in 2D or complementary like precipitation, temperature, and wind speeds over time at a given weather station. We propose a multivariate functional…

Methodology · Statistics 2021-10-06 Alexander Volkmann , Almond Stöcker , Fabian Scheipl , Sonja Greven

Two-photon photoassociation of hot magnesium atoms by femtosecond laser pulses, creating electronically excited magnesium dimer molecules, is studied from first principles, combining \textit{ab initio} quantum chemistry and molecular…

We calculate holographically three-point functions of scalar operators with large dimensions at finite density and finite temperature. To achieve this, we construct new solutions that involve two isometries of the deformed internal space.…

High Energy Physics - Theory · Physics 2023-09-15 George Georgiou , Dimitrios Zoakos

The reaction-coordinate mapping is a useful technique to study complex quantum dissipative dynamics into structured environments. In essence, it aims to mimic the original problem by means of an 'augmented system', which includes a suitably…

Quantum Physics · Physics 2019-09-11 Luis A. Correa , Buqing Xu , Benjamin Morris , Gerardo Adesso

A new analytical approximation function is proposed to accurately fit the solution of a fractional differential equation of order one-half, whose nonhomogeneous term is defined by a modified Bessel function of the first kind. The exact…

General Mathematics · Mathematics 2025-12-03 Byron Droguett , Pablo Martin , Eduardo Rojas , Jorge Olivares

We study the heat transfer between two nanoparticles held at different temperatures that interact through nonreciprocal forces, by combining molecular dynamics simulations with stochastic thermodynamics. Our simulations reveal that it is…

Statistical Mechanics · Physics 2022-12-16 Sarah A. M. Loos , Saeed Arabha , Ali Rajabpour , Ali Hassanali , Edgar Roldan

We report molecular dynamics results for the contact values of the radial distribution functions of binary additive mixtures of hard disks. The simulation data are compared with theoretical predictions from expressions proposed by Jenkins…

Statistical Mechanics · Physics 2007-05-23 Stefan Luding , Andres Santos

We study the form factors of local operators of integrable QFT's between states with finite energy density. These states arise, for example, at finite temperature, or from a generalized Gibbs ensemble. We generalize Smirnov's form factor…

High Energy Physics - Theory · Physics 2019-01-23 Axel Cortés Cubero , Miłosz Panfil

One of the most intriguing features of string thermodynamics is thermal duality, which relates the physics at temperature T to the physics at inverse temperature 1/T. Unfortunately, the traditional definitions of thermodynamic quantities…

High Energy Physics - Theory · Physics 2007-05-23 Keith R. Dienes , Michael Lennek

We address the problem of calculating the correlation functions of one-dimensional two-component gases with strong repulsive contact interactions. The model considered in this paper describes particles with fractional statistics and in…

Statistical Mechanics · Physics 2020-01-01 Ovidiu I. Patu

Information dynamics is an emerging description of information processing in complex systems which describes systems in terms of intrinsic computation, identifying computational primitives of information storage and transfer. In this paper…

Statistical Mechanics · Physics 2018-10-03 Richard E. Spinney , Joseph T. Lizier , Mikhail Prokopenko

The density-functional (DF) theory provides a simple method for calculating the properties of an interacting system under an external potential by associating it with a corresponding non-interacting system. Here, we find some relations in…

Chemical Physics · Physics 2009-11-10 Junzo Chihara , Mitsuru Yamagiwa

In finite mixture models, apart from underlying mixing measure, true kernel density function of each subpopulation in the data is, in many scenarios, unknown. Perhaps the most popular approach is to choose some kernel functions that we…

Statistics Theory · Mathematics 2017-09-26 Nhat Ho , XuanLong Nguyen , Ya'acov Ritov

We consider the two-dimensional Fermi gas at finite temperature with attractive short-range interactions. Using the virial expansion, which provides a controlled approach at high temperatures, we determine the spectral function and contact…

Quantum Gases · Physics 2014-01-08 V. Ngampruetikorn , J. Levinsen , Meera M. Parish

Dispersion relations are nonperturbative formulas that relate the ultraviolet and infrared behavior of an observable with wide-ranging applications applications in linear response theory, quantum field theory scattering amplitudes, and…

High Energy Physics - Theory · Physics 2025-11-19 Dean Carmi , Javier Moreno , Shimon Sukholuski

The finite temperature dynamical response function including the dynamical local field is derived within a quasiparticle picture for interacting one-, two- and three dimensional Fermi systems. The correlations are assumed to be given by a…

Strongly Correlated Electrons · Physics 2009-11-07 Klaus Morawetz