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A microscopic approach to the investigation of the behaviour of a symmetrical binary fluid mixture in the vicinity of the vapour-liquid critical point is proposed. It is shown that the problem can be reduced to the calculation of the…

Condensed Matter · Physics 2009-10-31 O. V. Patsahan , M. P. Kozlovskii , R. S. Melnyk

We perform the finite-temperature determinant quantum Monte Carlo simulation for the attractive Hubbard model on the half-filled bilayer square lattice. Recent progress on optical lattice experiments lead us to investigate various…

Strongly Correlated Electrons · Physics 2022-11-22 Yogeshwar Prasad

We propose a theoretical description of the superconducting state of under- to overdoped cuprates, based on the short coherence length of these materials and the associated strong pairing fluctuations. The calculated $T_c$ and the zero…

Superconductivity · Physics 2007-05-23 Qijin Chen , Ioan Kosztin , Boldizsar Janko , K. Levin

We calculate thermodynamic and structural quantities of a fluid of hard spheres of diameter $\sigma$ in a quasi-one-dimensional pore with accessible pore width $W $ smaller than $\sigma$ by applying a perturbative method worked out earlier…

Soft Condensed Matter · Physics 2024-07-04 Thomas Franosch , Rolf Schilling

Fluids made of two-dimensional hard particles with polygonal shapes may stabilize symmetries which do not result directly from the particle shape. This is due to the formation of clusters in the fluid. Entropy alone can drive these effects,…

Soft Condensed Matter · Physics 2024-02-05 Yuri Martinez-Raton , Enrique Velasco

The predictions of the mode-coupling theory of the glass transition (MCT) for the tagged-particle density-correlation functions and the mean-squared displacement curves are compared quantitatively and in detail to results from Newtonian-…

Statistical Mechanics · Physics 2009-11-10 Th. Voigtmann , A. M. Puertas , M. Fuchs

A theoretical description for the radial density profile of a finite number of identical charged particles confined in a harmonic trap is developed for application over a wide range of Coulomb coupling (or, equivalently, temperatures) and…

Statistical Mechanics · Physics 2015-05-14 J. Wrighton , J. W. Dufty , H. Kählert , M. Bonitz

We use three-flavor chiral perturbation theory ($\chi$PT) to calculate the pressure, light and $s$-quark condensates of QCD in the confined phase at finite temperature to ${\cal O}(p^6)$ in the low-energy expansion. We also include…

High Energy Physics - Phenomenology · Physics 2023-01-18 Jens O. Andersen , Qing Yu , Hua Zhou

The self-gravitating thermal gas (non-relativistic particles of mass m at temperature T) is exactly equivalent to a field theory with a single scalar field phi(x) and exponential self-interaction. We build up perturbation theory around a…

Astrophysics · Physics 2009-10-31 B. Semelin , H. J. de Vega , N. S'anchez , F. Combes

In this article we use analytical and numerical modeling to describe parallel viscous two-phase flows in microchannels. The focus is on idealized two-dimensional geometries, with a view to validating the various methodologies for future…

Fluid Dynamics · Physics 2019-11-28 Lennon Ó Náraigh , Daniel R. Jansen van Vuuren

We present a statistical field theory to describe large length scale effects induced by solutes in a cold and otherwise placid liquid. The theory divides space into a cubic grid of cells. The side length of each cell is of the order of the…

Statistical Mechanics · Physics 2016-08-31 Pieter Rein tenWolde , Sean X. Sun , David Chandler

Fluctuations in conjugate thermodynamic variables are studied using the cross-correlation function. A new procedure is given enabling the derivation of fluctuation formulas for a system in equilibrium. Specifically, the cross-correlation…

Statistical Mechanics · Physics 2024-07-03 Jean-Luc Garden

A simple model is proposed for the direct correlation function (DCF) for simple fluids consisting of a hard-core contribution, a simple parametrized core correction, and a mean-field tail. The model requires as input only the free energy of…

Statistical Mechanics · Physics 2007-10-08 James F. Lutsko

We investigate bulk structural properties of tetravalent associating particles within the framework of classical density functional theory, building upon Wertheim's thermodynamic perturbation theory. To this end, we calculate density…

Soft Condensed Matter · Physics 2021-12-08 Daniel Stopper , Frank Hirschmann , Martin Oettel , Roland Roth

First steps towards developing a new perturbation theory for molecular liquids are taken. By choosing a new form of splitting the site-site potential functions between molecules, we will get a set of atomic fluids as the reference system…

Chemical Physics · Physics 2017-11-21 Mehrdad Khanpour

We investigate the thermal correlator of the trace of the energy-momentum tensor in the SU(3) Yang-Mills theory. Our goal is to constrain the spectral function in that channel, whose low-frequency part determines the bulk viscosity. We…

High Energy Physics - Lattice · Physics 2014-11-20 Harvey B. Meyer

We report measurements of the temperature fluctuations in a horizontal layer of a pure fluid confined between parallel plates and heated from below. Consistent with earlier work we found that the structure factor $S_T(q)$ (the square of the…

Statistical Mechanics · Physics 2007-05-23 Jaechul Oh , Guenter Ahlers

Monte Carlo simulations have been performed to determine the excess energy and the equation of state of fcc solids with Sutherland potentials for wide ranges of temperatures, densities and effective potential ranges. The same quantities…

Statistical Mechanics · Physics 2007-05-23 A. Diez , J. Largo , J. R. Solana

Liquid-state theory, computer simulation, and numerical optimization are used to investigate the extent to which positional correlations of a hard-sphere fluid--as characterized by the radial distribution function and the two-particle…

Soft Condensed Matter · Physics 2016-03-23 Ryan B. Jadrich , Beth A. Lindquist , Jonathan A. Bollinger , Thomas M. Truskett

The equation of state and, more generally, the thermodynamics of the Lennard-Jones fluid have long served as a benchmark problem in the statistical theory of fluids. Among available theoretical approaches, first-order perturbation theory…

Disordered Systems and Neural Networks · Physics 2026-04-29 A. Trokhymchuk , V. Hordiichuk , R. Melnyk , I. Nezbeda