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The slow dynamics for a colloidal suspension of particles interacting with a hard-core repulsion complemented by a short-ranged attraction is discussed within the frame of mode-coupling theory for ideal glass transitions for parameter…

Soft Condensed Matter · Physics 2007-05-23 Matthias Sperl

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

We consider a gas of $N$ identical hard spheres in the whole space, and we enforce the Boltzmann-Grad scaling. We may suppose that the particles are essentially independent of each other at some initial time; even so, correlations will be…

Analysis of PDEs · Mathematics 2018-07-02 Ryan Denlinger

Several model fluids in contact with planar, spherical, and cylindrical walls are investigated for small number densities within density functional theory. The dependence of the solid-fluid interfacial tension on the curvature of spherical…

Statistical Mechanics · Physics 2015-05-05 Andreas Reindl , Markus Bier , S. Dietrich

The structural properties of single component fluids of hard hyperspheres in odd space dimensionalities $d$ are studied with an analytical approximation method that generalizes the Rational Function Approximation earlier introduced in the…

Statistical Mechanics · Physics 2011-11-10 Rene D. Rohrmann , Andres Santos

For QFTs in AdS the boundary correlation functions remain conformal even if the bulk theory has a scale. This allows one to constrain RG flows with numerical conformal bootstrap methods. We apply this idea to flows between two-dimensional…

High Energy Physics - Theory · Physics 2024-04-15 António Antunes , Edoardo Lauria , Balt C. van Rees

The correlation function of two dimensional Ising model with the nearest neighbours interaction on the finite size lattice with the periodical boundary conditions is derived. The expressions similar to the form factor representation are…

High Energy Physics - Theory · Physics 2007-05-23 A. I. Bugrij

The correlation function of the two dimensional Ising model with the nearest neighbours interaction on the finite size lattice with the periodical boundary conditions is derived. The expressions similar to the form factor expansion are…

High Energy Physics - Theory · Physics 2007-05-23 A. I. Bugrij

The interplay between dimensionality, coherence and interaction in superfluid Fermi gases is analyzed by the phase correlation function of the field of fermionic pairs. We calculate this phase correlation function for a two-dimensional…

Quantum Gases · Physics 2015-06-22 J. Tempere , S. N. Klimin

We present a density functional study of Lennard-Jones liquids in contact with a nano-corrugated wall. The corresponding substrate potential is taken to exhibit a repulsive hard core and a van der Waals attraction. The corrugation is…

Statistical Mechanics · Physics 2014-11-24 Swarn Lata Singh , Lothar Schimmele , S. Dietrich

A recently proposed rational-function approximation [Phys. Rev. E \textbf{84}, 041201 (2011)] for the structural properties of nonadditive hard spheres is applied to evaluate analytically (in Laplace space) the local density profiles of…

Soft Condensed Matter · Physics 2013-04-08 Riccardo Fantoni , Andrés Santos

The dielectric response and structural properties of finite-temperature electron liquids are central to accurately describing the physical behavior of electronic systems. This study presents a robust analytical model for the static…

Plasma Physics · Physics 2026-03-19 Chengliang Lin , Yong Hou , Jianmin Yuan , Yong Wu , Jianguo Wang

Positional ordering of a two-dimensional fluid of hard disks is examined in such narrow tubes where only the nearest-neighbor interactions take place. Using the exact transfer-matrix method the transverse and longitudinal pressure…

Statistical Mechanics · Physics 2015-05-30 S. Varga , G. Balló , P. Gurin

The geometry of Arithmetic Random Waves has been extensively investigated in the last fifteen years, starting from the seminal papers [RW08, ORW08]. In this paper we study the correlation structure among different functionals such as nodal…

Probability · Mathematics 2023-12-21 Valentina Cammarota , Riccardo-W. Maffucci , Domenico Marinucci , Maurizia Rossi

The complete quantitative description of the structure of dense and supercooled liquids remains a notoriously difficult problem in statistical physics. Most studies to date focus solely on two-body structural correlations, and only a…

Statistical Mechanics · Physics 2023-05-17 Ilian Pihlajamaa , Corentin C. L. Laudicina , Chengjie Luo , Liesbeth M. C. Janssen

Over the past two decades, many studies in the Density Functional Theory context revealed new aspects and properties of strongly correlated superfluid quantum systems in numerous configurations that can be simulated in experiments. This was…

Quantum Gases · Physics 2022-07-08 Antoine Boulet , Gabriel Wlazłowski , Piotr Magierski

We have developed a theory for inhomogeneous systems that allows for incorporation of effects of mesoscopic fluctuations. A hierarchy of equations relating the correlation and direct correlation functions for the local excess $\phi({\bf…

Statistical Mechanics · Physics 2016-09-21 Alina Ciach , Wojciech T. Gozdz

We study soft limits of correlation functions for the density and velocity fields in the theory of structure formation. First, we re-derive the (resummed) consistency conditions at unequal times using the eikonal approximation. These are…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-25 Ido Ben-Dayan , Thomas Konstandin , Rafael A. Porto , Laura Sagunski

A hard sphere fluid confined by hard, structureless, and parallel walls is investigated using a certain version of weighted density functional theory. The density profile, the excess coverage, the finite size contribution to the free…

Statistical Mechanics · Physics 2008-02-03 B. Gotzelmann , S. Dietrich

The height-height correlation function for a fluctuating interface between two coexisting bulk phases is derived by means of general equilibrium properties of the corresponding density-density correlation function. A wavelength-dependent…

Soft Condensed Matter · Physics 2009-11-13 Thorsten Hiester