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The decay of correlations in ionic fluids is a classical problem in soft matter physics that underpins applications ranging from controlling colloidal self-assembly to batteries and supercapacitors. The conventional wisdom, based on…

统计力学 · 物理学 2018-08-22 Fabian Coupette , Alpha A. Lee , Andreas Härtel

The Blume-Emery-Griffiths model on hypercubic lattices within the two-particle cluster approximation is investigated. The expressions for the pair correlation functions in $\bf{k}$-space are derived. On the basis of obtained results (at…

统计力学 · 物理学 2019-05-21 O. R. Baran , R. R. Levitskii

This paper is devoted to the study of two-point correlation function of the energy-momentum tensor T_{12}T_{12} for SU(2)-gluodynamics within lattice simulation of QCD. Using multilevel algorithm we carried out the measurement of the…

高能物理 - 格点 · 物理学 2018-12-19 N. Yu. Astrakhantsev , V. V. Braguta , A. Yu. Kotov

We formulate correlation functions for a one-dimensional interacting spinless fermion model at finite temperature. By combination of a lattice path integral formulation for thermodynamics with the algebraic Bethe ansatz for fermion systems,…

统计力学 · 物理学 2008-02-21 Kohei Motegi , Kazumitsu Sakai

We consider a two-dimensional (d=2) kagom\'e lattice gas model with attractive three-particle interactions around each triangular face of the kagom\'e lattice. Exact solutions are obtained for multiparticle correlations along the liquid and…

统计力学 · 物理学 2009-11-13 J. H. Barry , K. A. Muttalib , T. Tanaka

We construct a three-dimensional lattice model for biological gels in which straight lines of bonds correspond to filamentous semi-flexible polymers and lattice sites, which are exactly four-fold coordinated, to crosslinks. With only…

软凝聚态物质 · 物理学 2011-08-23 Olaf Stenull , T. C. Lubensky

We explore the use of correlation with simple functions to get lower bounds for arithmetic quantities. In particular, we apply this idea to the power moments of the error term when counting visible lattice points in large spheres.

数论 · 数学 2023-05-15 Fernando Chamizo

The scaling of the bond-bond correlation function $C(s)$ along linear polymer chains is investigated with respect to the curvilinear distance, $s$, along the flexible chain and the monomer density, $\rho$, via Monte Carlo and molecular…

软凝聚态物质 · 物理学 2009-11-10 J. P. Wittmer , H. Meyer , J. Baschnagel , A. Johner , S. Obukhov , L. Mattioni , M. Mueller , A. N. Semenov

We report on a high temperature perturbation expansion study of the superfluid-density spatial correlation function of a Ginzburg-Landau-model superconducting film in a magnetic field. We have derived a closed form which expresses the…

凝聚态物理 · 物理学 2009-10-22 Jun Hu , A. H. MacDonald

The short distance asymptotics of the Ising Model scaling functions are computed for the scaling functions that arise as continuum limits of lattice correlations from below the critical temperature.

可精确求解与可积系统 · 物理学 2015-06-26 John Palmer

Exotic phases of matter can emerge from strong correlations in quantum many-body systems. Quantum gas microscopy affords the opportunity to study these correlations with unprecedented detail. Here we report site-resolved observations of…

The adsorption behavior of ions at liquid-vapor interfaces exhibits several unexpected yet generic features. In particular, energy and entropy are both minimum when the solute resides near the surface, for a variety of ions in a range of…

统计力学 · 物理学 2017-02-08 Suriyanarayanan Vaikuntanathan , Patrick R. Shaffer , Phillip L. Geissler

We investigate the value of the correlation function of an inhomogeneous hard-sphere fluid at contact. This quantity plays a critical role in Statistical Associating Fluid Theory (SAFT), which is the basis of a number of recently developed…

软凝聚态物质 · 物理学 2013-09-10 Jeff Schulte , Patrick Kreitzberg , Chris Haglund , David Roundy

The calculation of the correlation functions of Bethe ansatz solvable models is very difficult problem. Among these solvable models spin 1/2 XXX chain has been investigated for a long time. Even for this model only the nearest neighbor and…

统计力学 · 物理学 2015-03-17 Minoru Takahashi

We explore connections between the phenomenon of correlation decay and the location of Lee-Yang and Fisher zeros for various spin systems. In particular we show that, in many instances, proofs showing that weak spatial mixing on the Bethe…

计算复杂性 · 计算机科学 2022-08-05 Jingcheng Liu , Alistair Sinclair , Piyush Srivastava

Correlation functions play an important role for the theoretical and experimental characterization of many-body systems. In solid-state systems, they are usually determined through scattering experiments whereas in cold-gases systems,…

We show that generalized spherical harmonics are well suited for representing the space and orientation molecular density in the resolution of the molecular density functional theory. We consider the common system made of a rigid solute of…

化学物理 · 物理学 2017-10-11 Lu Ding , Maximilien Levesque , Daniel Borgis , Luc Belloni

We consider a general spin-1/2 Ising model with multisite interaction on the Husimi lattice with the coordination number q and derive an analytical expression of correlation functions for stable fixed points of the corresponding recurrence…

凝聚态物理 · 物理学 2009-10-31 N. S. Ananikian , R. G. Ghulghazaryan , N. Sh. Izmailian

We study the asymptotic decay of the Friedel density oscillations induced by an open boundary in a one-dimensional chain of lattice fermions with a short-range two-particle interaction. From Tomonaga-Luttinger liquid theory it is known that…

强关联电子 · 物理学 2020-06-24 Jovan Odavić , Nicole Helbig , Volker Meden

Integrated time-slice correlation functions $G(t)$ with weights $K(t)$ appear, e.g., in the moments method to determine $\alpha_s$ from heavy quark correlators, in the muon g-2 determination or in the determination of smoothed spectral…

高能物理 - 格点 · 物理学 2022-11-30 Leonardo Chimirri , Nikolai Husung , Rainer Sommer