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An efficient Monte Carlo method is extended to evaluate directly domain-wall free-energy for randomly frustrated spin systems. Using the method, critical phenomena of spin-glass phase transition is investigated in 4d +/-J Ising model under…

无序系统与神经网络 · 物理学 2009-10-31 Koji Hukushima

Hard-sphere fluids confined between parallel plates a distance $D$ apart are studied for a wide range of packing fractions, including also the onset of crystallization, applying Monte Carlo simulation techniques and density functional…

Maximum Entropy is a powerful concept that entails a sharp separation between relevant and irrelevant variables. It is typically invoked in inference, once an assumption is made on what the relevant variables are, in order to estimate a…

统计力学 · 物理学 2018-01-09 Luigi Gresele , Matteo Marsili

In this paper, we propose a gauge-invariant way to define and calculate the effective mass for quasiparticles in systems with gauge interactions, and apply it to a model closely related to the half-filled Landau level problem. Our model is…

介观与纳米尺度物理 · 物理学 2008-02-03 A. Raghav Chari , F. D. M. Haldane , Kun Yang

Recently, a topological field theory of membrane-matter coupled to BF theory in arbitrary spacetime dimensions was proposed [1]. In this paper, we discuss various aspects of the four-dimensional theory. Firstly, we study classical solutions…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Winston J. Fairbairn , Alejandro Perez

We discuss the central and, mostly, spin-dependent potentials in heavy quarkonia $\bar b b, \bar c c$, with two goals in mind. The first is phenomenological: using the splitting between the 1S and 2S pairs, as well as the 1P and 2P quartet…

高能物理 - 唯象学 · 物理学 2024-03-28 Nicholas Miesch , Edward Shuryak , Ismail Zahed

We discuss the effects of a trapping space-dependent potential on the critical dynamics of lattice gas models. Scaling arguments provide a dynamic trap-size scaling framework to describe how critical dynamics develops in the large trap-size…

统计力学 · 物理学 2015-05-28 Gianluca Costagliola , Ettore Vicari

We consider the theory of the glass transition and jamming of hard spheres in the large space dimension limit. Previous investigations were based on the assumption that the probability distribution within a "cage" is Gaussian, which is not…

统计力学 · 物理学 2012-10-18 Jorge Kurchan , Giorgio Parisi , Francesco Zamponi

This paper deals with the Gaussian and bootstrap approximations to the distribution of the max statistic in high dimensions. This statistic takes the form of the maximum over components of the sum of independent random vectors and its…

统计理论 · 数学 2022-05-31 Victor Chernozhukov , Denis Chetverikov , Kengo Kato , Yuta Koike

Self-consistent dynamical approximations for strongly correlated fermion systems are particularly successful in capturing the dynamical competition of local correlations. In these, the effect of spatially extended degrees of freedom is…

强关联电子 · 物理学 2014-06-12 Andrey E. Antipov , Emanuel Gull , Stefan Kirchner

By introducing a new measure for the infinite Galton-Watson process and providing estimates for (discrete) Green's functions on trees, we establish the asymptotic behavior of the capacity of critical branching random walks: in high…

概率论 · 数学 2022-04-12 Tianyi Bai , Yijun Wan

We consider four-dimensional non-Abelian gauge theory living on a complex projective space $\mathbb{CP}^2$ as a way of gaining insights into (3+1)-dimensional QCD. In particular, we use a complex parametrization of gauge fields on which…

高能物理 - 理论 · 物理学 2024-10-31 Antonina Maj

Polymer systems in slab geometries are studied on the basis of the recently presented Gaussian Ellipsoid Model [J. Chem. Phys. 114, 7655 (2001)].The potential of the confining walls has an exponential shape. For homogeneous systems in…

软凝聚态物质 · 物理学 2009-11-07 F. Eurich , P. Maass , J. Baschnagel

Motivated by the phenomenon of transport barriers in fusion plasma devices, we write a mathematical model of heat dispersion in a turbulent fluid with a transport barrier, properly idealized; in a scaling limit of the turbulence model with…

概率论 · 数学 2025-10-21 Olga Aryasova , Franco Flandoli , Andrey Pilipenko

On the 1+2 dimensional lattice, we consider a directed polymer in a random Gaussian environment that is independent in time and correlated in space. The spatial correlation is supposed to decay as $(\log |x|)^a /|x|^{2}$, $a>-1$, where the…

概率论 · 数学 2025-10-02 Clément Cosco , Francesca Cottini , Anna Donadini

We study the critical behaviour of spherically symmetric scalar field collapse to black holes in spacetime dimensions other than four. We obtain reliable values for the scaling exponent in the supercritical region for dimensions in the…

广义相对论与量子宇宙学 · 物理学 2009-11-11 J. Bland , B. Preston , M. Becker , G. Kunstatter , V. Husain

We study the entanglement properties of a quantum lattice-gas model for which we can find the exact ground state (of the Rokhsar-Kivelson type). The ground state can be expressed as a superposition of states, each of which is characterized…

统计力学 · 物理学 2012-09-20 Shu Tanaka , Ryo Tamura , Hosho Katsura

We enlighten some critical aspects of the three-dimensional ($d=3$) random-field Ising model from simulations performed at zero temperature. We consider two different, in terms of the field distribution, versions of model, namely a Gaussian…

无序系统与神经网络 · 物理学 2015-01-13 P. E. Theodorakis , N. G. Fytas

We consider a D-dimensional fluid membrane in a D+1-dimensional embedding space, subject to quantum fluctuations. The corresponding action is invariant under coordinate transformations and depends only on the shape of the membrane and its…

软凝聚态物质 · 物理学 2008-11-26 Georg Foltin

The universal density-force relation is analyzed and the correspondent universal amplitude ratio $B_{real}$ is obtained using the massive field theory approach in fixed space dimensions d=3 up to one-loop order. The layer monomer density…

软凝聚态物质 · 物理学 2015-05-20 Z. Usatenko