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A free-energy functional that contains both the symmetry conserved and symmetry broken parts of the direct pair correlation function has been used to investigate the freezing of a system of hard spheres into crystalline and amorphous…

Soft Condensed Matter · Physics 2015-05-27 Swarn Lata Singh , Atul S. Bharadwaj , Yashwant Singh

We use an infinite-range Maier-Saupe model, with two sets of local quadrupolar variables and restricted orientations, to investigate the global phase diagram of a coupled system of two nematic subsystems. The free energy and the equations…

Statistical Mechanics · Physics 2015-06-05 D. B. Liarte , S. R. Salinas

Particles dispersed in a liquid crystal above the nematic-isotropic phase transition are wetted by a surface-induced corona of paranematic order. Such coronas give rise to pronounced two-particle interactions. In this article, we report…

Soft Condensed Matter · Physics 2009-11-10 Paolo Galatola , Jean-Baptiste Fournier , Holger Stark

The celebrated work of Onsager on hard particle systems, based on the truncated second order virial expansion, is valid at relatively low volume fractions for large aspect ratio particles. While it predicts the isotropic-nematic phase…

Soft Condensed Matter · Physics 2017-08-16 Eduardo S. Nascimento , Peter Palffy-Muhoray , Jamie M. Taylor , Epifanio G. Virga , Xiaoyu Zheng

This paper presents a unified method for formulating a field-theoretic perturbation theory that encompasses the conventional liquid state theory. First, the free-energy functional of instantaneous correlation field is obtained from the…

Statistical Mechanics · Physics 2020-07-15 Hiroshi Frusawa

We study correlation functions of static quark-antiquark pairs in SU(2) gauge theory at finite temperature. By measuring Polyakov loop correlators and temporal Wilson loops with APE smearing of spatial links we are able to give consistent…

High Energy Physics - Lattice · Physics 2010-01-21 Alexei Bazavov , Peter Petreczky , Alexander Velytsky

We study the correlators of Polyakov loops, and the corresponding gauge invariant free energy of a static quark-antiquark pair in 2+1 flavor QCD at finite temperature. Our simulations were carried out on $N_t$ = 6, 8, 10, 12, 16 lattices…

High Energy Physics - Lattice · Physics 2015-05-20 Szabolcs Borsányi , Zoltán Fodor , Sándor D. Katz , Attila Pásztor , Kálmán K. Szabó , Csaba Török

We formulate and discuss explicit computation of dynamic correlation functions in open quadradic fermionic systems which are driven and dissipated by the Lindblad jump processes that are linear in canonical fermionic operators. Dynamic…

Statistical Mechanics · Physics 2018-01-17 Pavel Kos , Tomaz Prosen

An accurate analytical parametrization for the exchange-correlation free energy of the homogeneous electron gas, including interpolation for partial spin-polarization, is derived via thermodynamic analysis of recent restricted path integral…

Chemical Physics · Physics 2015-06-17 Valentin V. Karasiev , Travis Sjostrom , James Dufty , S. B. Trickey

We have developed a systematic approach to calculate the correlation function for spin-1/2 particles, incorporating both central and noncentral components of the interparticle interaction. This is achieved by extending the variable phase…

Nuclear Theory · Physics 2026-05-13 Renjie Zou , Sheng Xiao , Zhi Qin , Zhigang Xiao

We consider near-critical two-dimensional statistical systems with boundary conditions inducing phase separation on the strip. By exploiting low-energy properties of two-dimensional field theories, we compute arbitrary $n$-point correlation…

High Energy Physics - Theory · Physics 2021-12-01 Alessio Squarcini

In the framework of a field theoretical approach we study Maier-Saupe nematogenic fluid in contact with a hard wall. The pair interaction potential of the considered model consists of an isotropic and an anisotropic Yukawa terms. In the…

Soft Condensed Matter · Physics 2013-03-25 M. Holovko , I. Kravtsiv , D. di Caprio

We report some recent progress in the computation of the n-point correlation functions of conserved currents in a class of four dimensional conformal field theories with higher spin symmetry. Global conformal invariance leads to very strong…

High Energy Physics - Theory · Physics 2013-12-12 Yassen S. Stanev

Femtoscopic interferometry is a powerful tool for probing the spatio-temporal evolution of emission sources in heavy-ion collisions. A major challenge in the field is formulating a self-consistent description of the source function,…

Nuclear Theory · Physics 2026-03-11 Sheng Xiao , Yijie Wang , Zhigang Xiao

Spatial correlation functions provide a glimpse into the quantum correlations within a quantum system. Ions in a linear trap collectively form a nonuniform, discretized background on which a scalar field of phonons propagates. Trapped ions…

Quantum Physics · Physics 2009-09-29 Nicolas C. Menicucci , G. J. Milburn

The scaled particle theory is developed for the description of thermodynamical properties of a mixture of hard spheres and hard spherocylinders. Analytical expressions for free energy, pressure and chemical potentials are derived. From the…

Soft Condensed Matter · Physics 2017-12-15 M. F. Holovko , M. V. Hvozd

Strongly interacting systems are known to often spontaneously develop exotic ground states under certain conditions. For instance, spin nematic phases have been discovered in various magnetic models. Such phases, which break spin symmetry…

Strongly Correlated Electrons · Physics 2007-05-23 S. Capponi , F. F. Assaad

We have investigated the correlation functions of interacting bosons at the generic superfluid-insulator transition, a prototypical quantum phase transition, in two dimensions in the spherical limit. Unexpectedly the spatial correlation…

Strongly Correlated Electrons · Physics 2007-05-23 Min-Chul Cha

We present a practical approach to treat static and dynamical correlation accurately in large multi-configurational systems. The static correlation is accounted for using the spin-flip approach which is well known for capturing static…

Strongly Correlated Electrons · Physics 2021-02-08 Oinam Romesh Meitei , Nicholas J. Mayhall

Two equations are constructed which reflect, for fermions moving independently in a spherical harmonic potential, a differential virial theorem and a relation between the turning points of kinetic energy and particle densities. These…

Statistical Mechanics · Physics 2009-11-07 A. Minguzzi , N. H. March , M. P. Tosi