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Boundary modes localized on the boundaries of a finite-size lattice experience a finite size effect (FSE) that could result in unwanted couplings, crosstalks and formation of gaps even in topological boundary modes. It is commonly believed…

Classical Physics · Physics 2023-05-01 Tao Liu , Kai Bai , Yicheng Zhang , Duanduan Wan , Yun Lai , C. T. Chan , Meng Xiao

Based on the isospin-dependent quantum molecular dynamics model, finite-size scaling effects on nuclear liquid--gas phase transition probes are investigated by studying the de-excitation processes of six thermal sources of different sizes…

Nuclear Theory · Physics 2019-09-18 H. L. Liu , Y. G. Ma , D. Q. Fang

The finite-size scaling function and the leading corrections for the single species 1D coagulation model $(A + A \rightarrow A)$ and the annihilation model $(A + A \rightarrow \emptyset)$ are calculated. The scaling functions are universal…

Condensed Matter · Physics 2008-02-03 Klaus Krebs , Markus Pfannmueller , Birgit Wehefritz

The scaling theory of critical phenomena has been successfully extended for classical first order transitions even though the correlation length does not diverge in these transitions. In this paper we apply the scaling ideas to quantum…

Strongly Correlated Electrons · Physics 2009-11-10 Mucio A. Continentino , Andre S. Ferreira

We study the finite-size effects for the thermal QCD Deconfinement Phase Transition (DPT), and use a numerical finite size scaling analysis to extract the scaling exponents characterizing its scaling behavior when approaching the…

High Energy Physics - Phenomenology · Physics 2009-01-07 M. Ladrem , A. Ait-El-Djoudi

We have studied the variation in fine-structure splitting (FSS) under application of vertical electric field in a range of quantum dots grown by different methods. In each sample we confirm that this energy splitting changes linearly over…

Mesoscale and Nanoscale Physics · Physics 2015-07-23 M. A. Pooley , A. J. Bennett , I. Farrer , D. A. Ritchie , A. J. Shields

Finite-size scaling arguments naturally lead us to introduce a coordinate-dependent diffusion coefficient in a Fokker-Planck description of the late stage dynamics of unbiased polymer translocation through a membrane pore. The solution for…

Statistical Mechanics · Physics 2015-06-17 Giovanni Brandani , Fulvio Baldovin , Enzo Orlandini , Attilio L. Stella

We analyze ground-state behaviors of fidelity susceptibility (FS) and show that the FS has its own distinct dimension instead of real system's dimension in general quantum phases. The scaling relation of the FS in quantum phase transitions…

Quantum Physics · Physics 2015-05-13 Shi-Jian Gu , Hai-Qing Lin

In this letter we investigate the finite size scaling effect on SLE($\kappa,\rho$) and boundary conformal field theories and find the effect of fixing some boundary conditions on the free energy per length of SLE($\kappa,\rho$). As an…

High Energy Physics - Theory · Physics 2007-05-23 M. A. Rajabpour , S. Moghimi-Araghi

We present an analysis of finite-size effects in jammed packings of N soft, frictionless spheres at zero temperature. There is a 1/N correction to the discrete jump in the contact number at the transition so that jammed packings exist only…

Soft Condensed Matter · Physics 2015-06-04 Carl P. Goodrich , Andrea J. Liu , Sidney R. Nagel

The influence of the initial fluctuations on the onset of scaling in the quench to zero temperature of a two dimensional system with conserved order parameter, is analyzed in detail with and without topological defects. We find that the…

Condensed Matter · Physics 2009-10-28 Claudio Castellano , Marco Zannetti

Laser-driven Bose-Einstein condensate of ultracold atoms loaded into a lossy high-finesse optical resonator exhibits critical behavior and, in the thermodynamic limit, a phase transition between stationary states of different symmetries.…

Quantum Physics · Physics 2014-08-25 G. Konya , D. Nagy , G. Szirmai , P. Domokos

We propose a new criterion to analyse the order of phase transitions within a finite size scaling analysis. It refers to response functions like order parameter susceptibilities and the specific heat and states different monotony behaviour…

High Energy Physics - Lattice · Physics 2015-06-25 H. Meyer-Ortmanns , T. Reisz

The disordered Bose-Hubbard model in two dimensions at non-integer filling admits a superfluid to Bose-glass transition at weak disorder. Less understood are the properties of this system at strong disorder and energy densities…

Quantum Gases · Physics 2021-04-30 Andreas Geißler

We investigate the quantum dynamics generated by quantum quenches (QQs) of the Hamiltonian parameters in many-body systems, focusing on protocols that cross first-order and continuous quantum transitions, both in finite-size systems and in…

Statistical Mechanics · Physics 2026-04-29 Andrea Pelissetto , Davide Rossini , Ettore Vicari

The study of Finite Size Effects in Quantum Field Theory allows the extraction of precious perturbative and non-perturbative information. The use of scaling functions can connect the particle content (scattering theory formulation) of a QFT…

High Energy Physics - Theory · Physics 2017-08-23 Francesco Ravanini

We have investigated the random walk problem in a finite system and studied the crossover induced in the the persistence probability scales by the system size.Analytical and numerical work show that the scaling function is an exponentially…

Statistical Mechanics · Physics 2012-04-23 D. Chakraborty , J. K. Bhattacharjee

We introduce and analyze a general one-dimensional model for the description of transient patterns which occur in the evolution between two spatially homogeneous states. This phenomenon occurs, for example, during the Freedericksz…

Condensed Matter · Physics 2009-10-22 A. Amengual , E. Hernandez-Garcia , M. San Miguel

The order parameter for a continuous transition shows diverging fluctuation near the critical point. Here we show, through numerical simulations and scaling arguments, that the inequality (or variability) between the values of an order…

Statistical Mechanics · Physics 2024-01-30 Soumyaditya Das , Soumyajyoti Biswas , Anirban Chakraborti , Bikas K. Chakrabarti

Estimating a fractal dimension from a finite stochastic trajectory is a finite-size scaling problem: the apparent box-counting exponent is shaped by an occupancy crossover between the resolved range of scales and the finite number of…

Statistical Mechanics · Physics 2026-05-28 Bon A. Koo , Edward Ju
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