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Exact Derivation of a Finite-Size Scaling Law and Corrections to Scaling in the Geometric Galton-Watson Process. [PDF]

open access: yesPLoS ONE, 2016
The theory of finite-size scaling explains how the singular behavior of thermodynamic quantities in the critical point of a phase transition emerges when the size of the system becomes infinite. Usually, this theory is presented in a phenomenological way.
Álvaro Corral   +2 more
doaj   +4 more sources

Universal dynamics of mitochondrial networks: a finite-size scaling analysis [PDF]

open access: yesScientific Reports, 2022
Evidence from models and experiments suggests that the networked structure observed in mitochondria emerges at the critical point of a phase transition controlled by fission and fusion rates.
Nahuel Zamponi   +3 more
doaj   +2 more sources

Disorder Averaging and Finite-Size Scaling [PDF]

open access: yesPhysical Review Letters, 2000
We propose a new picture of the renormalization group (RG) approach in the presence of disorder, which considers the RG trajectories of each random sample (realization) separately instead of the usual renormalization of the averaged free energy. The main consequence of the theory is that the average over randomness has to be taken after finding the ...
Bernardet, Karim   +2 more
openaire   +4 more sources

Finite-Size Scaling in Complex Networks [PDF]

open access: yesPhysical Review Letters, 2007
A finite-size-scaling (FSS) theory is proposed for various models in complex networks. In particular, we focus on the FSS exponent, which plays a crucial role in analyzing numerical data for finite-size systems. Based on the droplet-excitation (hyperscaling) argument, we conjecture the values of the FSS exponents for the Ising model, the susceptible ...
Hong, Hyunsuk   +2 more
openaire   +4 more sources

UNIVERSAL FINITE-SIZE-SCALING FUNCTIONS [PDF]

open access: yesInternational Journal of Modern Physics C, 1996
The idea of universal finite-size-scaling functions of the Ising model is tested by Monte Carlo simulations for various lattices. Not only regular lattices such as the square lattice but quasiperiodic lattices such as the Penrose lattice are treated.
Okabe, Yutaka, Kikuchi, Macoto
openaire   +3 more sources

Finite-size scaling at phase coexistence [PDF]

open access: yesNuclear Physics B, 1993
{}From a finite-size scaling (FSS) theory of cumulants of the order parameter at phase coexistence points, we reconstruct the scaling of the moments. Assuming that the cumulants allow a reconstruction of the free energy density no better than as an asymptotic expansion, we find that FSS for moments of low order is still complete.
Gupta, Sourendu   +2 more
openaire   +5 more sources

Finite-size scaling of eigenstate thermalization [PDF]

open access: yesPhysical Review E, 2014
9 pages, 8 figures; accepted for publication in Phys.
Beugeling, W., Moessner, R., Haque, M.
openaire   +5 more sources

Universal finite-size scaling amplitudes in anisotropic scaling [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2001
Phenomenological scaling arguments suggest the existence of universal amplitudes in the finite-size scaling of certain correlation lengths in strongly anisotropic or dynamical phase transitions. For equilibrium systems, provided that translation invariance and hyperscaling are valid, the Privman-Fisher scaling form of isotropic equilibrium phase ...
Henkel, Malte, Schollwöck, Ulrich
openaire   +4 more sources

Finite-Size Scaling in the Ageing Dynamics of the 1D Glauber–Ising Model [PDF]

open access: yesEntropy
Single-time and two-time correlators are computed exactly in the 1D Glauber-Ising model after a quench to zero temperature and on a periodic chain of finite length N, using a simple analytical continuation technique.
Malte Henkel
doaj   +2 more sources

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