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The grand partition function of a model of confined quarks is exactly calculated at arbitrary temperatures and quark chemical potentials. The model is inspired by a softly BRST-broken version of QCD and possesses a quark mass function…

High Energy Physics - Phenomenology · Physics 2015-10-28 M. S. Guimaraes , B. W. Mintz , L. F. Palhares

We derive a simple analytical expression for the level correlation function of an integrable system. It accounts for both the lack of correlations at smaller energy scales and for global rigidity (level number conservation) at larger…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. A. Serota , J. M. A. S. P. Wickramasinghe

This paper presents an in-depth analysis of the anatomy of both thermodynamics and statistical mechanics, together with the relationships between their constituent parts. Based on this analysis, using the renormalization group and…

Statistical Mechanics · Physics 2023-02-22 David A. Lavis , Reimer Kuehn , Roman Frigg

We study the thermal and non-thermal steady state scaling functions and the steady-state dynamics of a model of local quantum criticality. The model we consider, i.e. the pseudogap Kondo model, allows us to study the concept of effective…

Strongly Correlated Electrons · Physics 2015-12-10 P. Ribeiro , F. Zamani , S. Kirchner

We study a $\phi^4$-theory at finite temperature in a finite volume. Quantum, thermal and volume fluctuations are treated with the functional renormalisation group. Specifically, we focus on the interplay of temperature and length scales…

High Energy Physics - Phenomenology · Physics 2015-04-21 Leonard Fister , Jan Martin Pawlowski

In electron density functional theory formal properties of density functionals play an important role in constructing and testing approximate functionals. In this paper it is shown that a set of density functionals satisfy an equation that…

Materials Science · Physics 2011-08-09 Daniel P. Joubert

We suggest to include the density of electron charge explicitly in the electron potential of density functional theory, rather than implicitly via exchange-correlation functionals. The advantages of the approach are conceptual and…

Materials Science · Physics 2007-05-23 Werner A. Hofer , Krisztian Palotas

Over the years, several schemes have been proposed to describe multireference systems with Kohn-Sham Density Functional Theory. Problematic is the combination of two aspects: the Kohn-Sham reference wavefunction is usually taken to be a…

Strongly Correlated Electrons · Physics 2019-08-01 Pablo Ramos , Michele Pavanello

Density functional theory, when applied to systems with $T\neq 0$, is based on the grand canonical extension of the Hohenberg-Kohn-Sham theorem due to Mermin (HKSM theorem). While a straightforward canonical ensemble generalization fails,…

Statistical Mechanics · Physics 2009-10-31 J. A. Hernando , L. Blum

We show that the zeroth law of thermodynamics holds within an alternative version of nonextensive statistical mechanics based on {\it incomplete probability distribution}. The generalized zeroth law leads to a generalized definition of…

Statistical Mechanics · Physics 2007-05-23 Qiuping A. Wang

Mesoscopic density functional theory for inhomogeneous mixtures of sperical particles is developed in terms of mesoscopic volume fractions by a systematic coarse-graining procedure starting form microscopic theory. Approximate expressions…

Soft Condensed Matter · Physics 2015-05-20 A. Ciach

The behavior of finite temperature planar electrodynamics is investigated. We calculate the static as well as dynamic characteristic functions using real time formalism. The temperature and density dependence of dielectric and permeability…

High Energy Physics - Theory · Physics 2015-06-26 G. Gat , R. Ray

We study the high temperature regime within the glass phase of an elastic object with short ranged disorder. In that regime we argue that the scaling functions of any observable are described by a continuum model with a $\delta$-correlated…

Disordered Systems and Neural Networks · Physics 2010-10-20 Sebastian Bustingorry , Pierre Le Doussal , Alberto Rosso

We report the bulk and surface properties of lithium computed within a full potential LCGTO formalism using both density functional theory and the Hartree-Fock approximation. We examine the convergence of computed properties with respect to…

Materials Science · Physics 2009-10-31 K. Doll , N. M. Harrison , V. R. Saunders

Energy functionals serve as the basis for different models and methods in quantum and classical many-particle physics. Arguably, one of the most successful and widely used approaches in material science at both ambient and extreme…

Plasma Physics · Physics 2024-10-22 Z. Moldabekov , J. Vorberger , T. Dornheim

A new approach to the study of similarity of temperature profiles is presented. It is applicable for any 2-D fluid flow along an isothermal heated (cooled) wall. The approach is based on a simple concept; the area under a set of scaled…

Fluid Dynamics · Physics 2018-01-09 David Weyburne

The thermodynamics of the inhomogeneous one-dimensional repulsive fermionic Hubbard model with parabolic confinement is studied by a density-functional theory approach, based on Mermin's generalization to finite temperatures. A…

Strongly Correlated Electrons · Physics 2019-04-25 V. L. Campo

Partition density functional theory is a formally exact procedure for calculating molecular properties from Kohn-Sham calculations on isolated fragments, interacting via a global partition potential that is a functional of the fragment…

Other Condensed Matter · Physics 2015-05-13 Peter Elliott , Kieron Burke , Morrel H. Cohen , Adam Wasserman

We review some of the exactly solvable one dimensional continuum fluid models of equilibrium classical statistical mechanics under the unified setting of functional integration in one dimension. We make some further developments and remarks…

Classical Physics · Physics 2016-11-30 Riccardo Fantoni

The density functional theory is extended to account for self-bound systems. To this end the Hohenberg-Kohn theorem is formulated for the intrinsic density and a Kohn-Sham like procedure for an $N$--body system is derived using the…

Nuclear Theory · Physics 2008-11-26 Nir Barnea
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