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A continuous infinite system of point particles interacting via two-body strong superstable potential is considered in the framework of classical statistical mechanics. We define some kind of approximation of main quantities, which describe…

数学物理 · 物理学 2010-07-27 Alexei Rebenko , Maksym Tertychnyi

We analyze high-temperature series expansions of the two-point and four-point correlation-functions in the three-dimensional euclidean lattice scalar field theory with quartic self-coupling, which have been recently extended through…

高能物理 - 格点 · 物理学 2009-11-11 P. Butera , M. Comi

We consider a lattice model of a semiflexible homopolymer chain in a bad solvent. Beside the temperature $T$, this model is described by (i) a curvature energy $\varepsilon_h$, representing the stiffness of the chain (ii) a…

凝聚态物理 · 物理学 2009-10-28 S. Doniach , T. Garel , H. Orland

We study bond and spin correlations of the nearest-neighbour resonating valence bond (RVB) wavefunction for a SU($2$) symmetric $S=1/2$ antiferromagnet on the honeycomb lattice. We find that spin correlations in this wavefunction are…

强关联电子 · 物理学 2015-07-21 Pranay Patil , Ishita Dasgupta , Kedar Damle

We consider a one-dimensional lattice system of unbounded, real-valued spins with arbitrary strong, quadratic, finite-range interaction. We show the equivalence of correlations of the grand canonical (gce) and the canonical ensemble (ce).…

概率论 · 数学 2019-08-26 Younghak Kwon , Georg Menz

Notwithstanding the long and distinguished history of studies of vibrational energy relaxation, exactly how it is that high frequency vibrations manage to relax in a liquid remains somewhat of a mystery. Both experimental and theoretical…

化学物理 · 物理学 2009-10-31 Ross E. Larsen , Richard M. Stratt

A density functional theory for many-body lattice models is considered in which the single-particle density matrix is the basic variable. Eigenvalue equations are derived for solving Levy's constrained search of the interaction energy…

强关联电子 · 物理学 2009-10-31 R. Lopez-Sandoval , G. M. Pastor

We present a new model describing strongly correlated electrons on a general $d$-dimensional lattice. It differs from the Hubbard model by interactions of nearest neighbours, and it contains the $t$-$J$ model as a special case. The model…

凝聚态物理 · 物理学 2008-11-26 Fabian H. L. Essler , Vladimir E. Korepin , Kareljan Schoutens

In systems removed from equilibrium, intrinsic microscopic fluctuations become correlated over distances comparable to the characteristic macroscopic length over which the external constraint is exerted. In order to investigate this…

comp-gas · 物理学 2009-10-28 Alberto Suarez , Jean Pierre Boon , Patrick Grosfils

The mass density distribution of Newtonian self-gravitating systems is studied analytically in field theoretical method. Modeling the system as a fluid in hydrostatical equilibrium, we apply Schwinger's functional derivative on the average…

星系天体物理 · 物理学 2021-07-21 Yang Zhang , Qing Chen , Shuguang Wu

Several new developments in the calculation and interpretation of hadron density-density correlation functions are presented. The asymptotic behavior of correlation functions is determined from a tree diagram path integral. A method is…

高能物理 - 格点 · 物理学 2009-09-25 J. W. Negele , M. Burkardt , J. M. Grandy

We consider an one-dimensional lattice system of unbounded and continuous spins. The Hamiltonian consists of a perturbed strictly-convex single-site potential and with longe-range interaction. We show that if the interactions decay…

概率论 · 数学 2015-06-17 Georg Menz , Robin Nittka

We consider a system of harmonic oscillators with short range interactions and we study their correlation functions when the initial data is sampled with respect to the Gibbs measure. Such correlation functions display rapid oscillations…

数学物理 · 物理学 2021-03-24 Guido Mazzuca , Tamara Grava , Thomas Kriecherbauer , Ken D. T. -R. McLaughlin

A systematic study for a single-specie lattice Boltzmann model with frustrated-short range attractive and mid/long-range repulsive-interactions is presented. The equilibrium analysis is performed along the guidelines proposed by [X. Shan,…

软凝聚态物质 · 物理学 2014-02-26 M. Sbragaglia , R. Benzi , M. Bernaschi S. Succi

For $n\in [-2,2]$ the $O(n)$ model on a random lattice has critical points to which a scaling behaviour characteristic of 2D gravity interacting with conformal matter fields with $c\in [-\infty,1]$ can be associated. Previously we have…

高能物理 - 理论 · 物理学 2009-10-28 B. Eynard , C. Kristjansen

The fully-packed loop model of closed paths covering the honeycomb lattice is studied through its identification with the $sl_q(3)$ integrable lattice model. Some known results from the Bethe ansatz solution of this model are reviewed. The…

凝聚态物理 · 物理学 2007-05-23 Anton Kast

Correlation functions in the O(n) models below the critical temperature are considered. Based on Monte Carlo (MC) data, we confirm the fact stated earlier by Engels and Vogt, that the transverse two-plane correlation function of the O(4)…

统计力学 · 物理学 2016-08-24 J. Kaupuzs , R. V. N. Melnik , J. Rimsans

We provide a simple proof of the Lieb-Robinson bound and use it to prove the existence of the dynamics for interactions with polynomial decay. We then use our results to demonstrate that there is an upper bound on the rate at which…

数学物理 · 物理学 2007-05-23 Bruno Nachtergaele , Yoshiko Ogata , Robert Sims

The concept of time correlation functions is a very convenient theoretical tool in describing relaxation processes in multiparticle systems because, on one hand, correlation functions are directly related to experimentally measured…

统计力学 · 物理学 2019-09-05 Anatolii V. Mokshin

We explore the continuum limit $a\rightarrow 0$ of meson correlation functions at finite temperature. In detail we analyze finite volume and lattice cut-off effects in view of possible consequences for continuum physics. We perform…

高能物理 - 格点 · 物理学 2015-03-18 Anthony Francis , Frithjof Karsch