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Growth of interfaces during vapor deposition is analyzed on a discrete lattice. It leads to finding distribution of local heights, measurable for any lattice model. Invariance in the change of this distribution in time is used to determine…

软凝聚态物质 · 物理学 2016-08-31 S. V. Ghaisas

We study the growth of an N-component (including N=1) order parameter when a system with a Lifshitz point is quenched from the homogeneous disordered state to the ordered states. We study the scaling behaviours of the structure factors for…

统计力学 · 物理学 2009-11-10 Abhik Basu , Jayanta K Bhattacharjee

We study the one-dimensional Anderson-Hubbard model using the density-matrix renormalization group method. The influence of disorder on the Tomonaga-Luttinger liquid behavior is quantitatively discussed. Based on the finite-size scaling…

强关联电子 · 物理学 2015-05-13 S. Nishimoto , T. Shirakawa

We propose a general connection between entanglement-entropy scaling laws and the linear response functions of particle-conserving fermionic systems in their ground state. Specifically, we show that the response to perturbations coupled to…

量子物理 · 物理学 2025-11-25 Hadi Cheraghi , Ali G. Moghaddam , Teemu Ojanen

Corrections to the asymptotic correlation function in a Heisenberg spin-1/2 antiferromagnetic spin chain are known to vanish slowly (logarithmically) as a function of the distance r or the chain size L. This leads to significant differences…

强关联电子 · 物理学 2009-10-31 Victor Barzykin , Ian Affleck

Above the upper critical dimension, the breakdown of hyperscaling is associated with dangerous irrelevant variables in the renormalization group formalism at least for systems with periodic boundary conditions. While these have been…

统计力学 · 物理学 2014-02-10 Bertrand Berche , Ralph Kenna , Jean-Charles Walter

The singular part of the finite-size free energy density $f_s$ of the O(n) symmetric $\phi^4$ field theory in the large-n limit is calculated at finite cutoff for confined geometries of linear size L with periodic boundary conditions in 2 <…

统计力学 · 物理学 2009-11-07 X. S. Chen , V. Dohm

We present a finite-size scaling analysis of the droplet condensation-evaporation transition of a lattice gas (in two and three dimensions) and a Lennard-Jones gas (in three dimensions) at fixed density. Parallel multicanonical simulations…

软凝聚态物质 · 物理学 2015-08-04 Johannes Zierenberg , Wolfhard Janke

A simple finite-size scaling theory is proposed here for anisotropic percolation models considering the cluster size distribution function as generalized homogeneous function of the system size and two connectivity lengths. The proposed…

软凝聚态物质 · 物理学 2008-07-16 Santanu Sinha , S. B. Santra

We describe results of a high-statistics finite size scaling analysis of 4d compact U(1) lattice gauge theory with Wilson action at the phase transition point. Using a multicanonical hybrid Monte Carlo algorithm we generate data samples…

高能物理 - 格点 · 物理学 2009-10-31 G. Arnold , Th. Lippert , Th. Neuhaus , K. Schilling

Finite-size scaling above the upper critical dimension is a long-standing puzzle in the field of Statistical Physics. Even for pure systems various scaling theories have been suggested, partially corroborated by numerical simulations. In…

统计力学 · 物理学 2023-10-30 Nikolaos G. Fytas , Victor Martin-Mayor , Giorgio Parisi , Marco Picco , Nicolas Sourlas

Chaotic dynamics in quantum many-body systems scrambles local information so that at late times it can no longer be accessed locally. This is reflected quantitatively in the out-of-time-ordered correlator of local operators, which is…

量子物理 · 物理学 2019-07-10 Yichen Huang , Fernando G. S. L. Brandao , Yong-Liang Zhang

We study analytically the ordering kinetics of the two-dimensional long-range voter model on a two-dimensional lattice, where agents on each vertex take the opinion of others at distance $r$ with probability $P(r) \propto r^{-\al}$. The…

统计力学 · 物理学 2024-04-11 Federico Corberi , Luca Smaldone

We studied phase separation in a particle interacting system under a large drive along x. We here identify the basic growth mechanisms, and demonstrate time self-similarity, finite-size scaling, as well as other interesting features of both…

统计力学 · 物理学 2009-11-07 Pablo I. Hurtado , J. Marro , E. V. Albano

We study the quantum (zero-temperature) critical behaviors of confined particle systems described by the one-dimensional (1D) Bose-Hubbard model in the presence of a confining potential, at the Mott insulator to superfluid transitions, and…

统计力学 · 物理学 2013-05-29 Massimo Campostrini , Ettore Vicari

Models of Dynamical Electroweak Symmetry Breaking are expected to display a quasi-conformal scaling behaviour in order to accommodate experimental constraints. The scaling properties of a theory can be studied using finite volume…

高能物理 - 格点 · 物理学 2012-11-05 Stefan Sint , Pol Vilaseca

Finite size scaling for a first order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological "degeneracy" factor included. Predictions are…

计算物理 · 物理学 2019-03-27 Jiahao Xu , Shan-Ho Tsai , D. P. Landau , K. Binder

We perform a numerical study of the F-model with domain-wall boundary conditions. Various exact results are known for this particular case of the six-vertex model, including closed expressions for the partition function for any system size…

统计力学 · 物理学 2017-05-17 Rick Keesman , Jules Lamers

The scaling of correlations as a function of system size provides important hints to understand critical phenomena on a variety of systems. Its study in biological systems offers two challenges: usually they are not of infinite size, and in…

无序系统与神经网络 · 物理学 2020-07-17 Daniel A. Martin , Tiago L. Ribeiro , Sergio A. Cannas , Tomas S. Grigera , Dietmar Plenz , Dante R. Chialvo

In a recent study, the finite-time ($t$) and -population size ($N_c$) scalings in the evaluation of a large deviation function (LDF) estimator were analyzed by means of the cloning algorithm. These scalings provide valuable information…

统计力学 · 物理学 2018-08-30 Esteban Guevara Hidalgo