Results 61 to 70 of about 467,640 (194)
, 2009 Validity of modified finite-size scaling above the upper critical dimension is demonstrated for the quantum phase transition whose dynamical critical exponent is $z=2$.
J. G. Brankov +2 more
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SciPost PhysicsFine resolution of the discrete eigenvalues at the spectral edge of an $N× N$ random matrix is required in many applications. Starting from a finite-size scaling ansatz for the Stieltjes transform of the maximum likelihood spectrum, we demonstrate that ...
Ding Wang, Lei-Han Tang
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Finite size scaling of the bayesian perceptron
, 1997 We study numerically the properties of the bayesian perceptron through a gradient descent on the optimal cost function. The theoretical distribution of stabilities is deduced.
Buhot, A. +2 more
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Statistical analyses support power law distributions found in neuronal avalanches. [PDF]
PLoS ONE, 2011 The size distribution of neuronal avalanches in cortical networks has been reported to follow a power law distribution with exponent close to -1.5, which is a reflection of long-range spatial correlations in spontaneous neuronal activity.
Andreas Klaus, Shan Yu, Dietmar Plenz
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Finite-size scaling of the majority-voter model above the upper critical dimension
Condensed Matter Physics, 2023 The majority-voter model is studied by Monte Carlo simulations on hypercubic lattices of dimension d = 2 to 7 with periodic boundary conditions. The critical exponents associated to the finite-size scaling of the magnetic susceptibility are shown to be ...
C. Chatelain
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Finite-size scaling in anisotropic systems [PDF]
Physical Review E, 2007 We present analytical results for the finite-size scaling in d--dimensional O(N) systems with strong anisotropy where the critical exponents (e.g. _{||} and _{\perp}) depend on the direction. Prominent examples are systems with long-range interactions, decaying with the interparticle distance r as r^{-d- } with different exponents in ...
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Universal scaling of a classical impurity in the quantum Ising chain [PDF]
, 2017 We study finite size scaling for the magnetic observables of an impurity residing at the endpoint of an open quantum Ising chain in a transverse magnetic field, realized by locally rescaling the magnetic field by a factor $\mu \neq 1$. In the homogeneous
Apollaro, Tony J. G. +5 more
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The power of a critical heat engine
Nature Communications, 2016 The second law of thermodynamics says that the efficiency of a heat engine is limited by the Carnot efficiency. Here, the authors use finite-size-scaling theory to investigate whether this ultimate limit can be achieved at finite power using quantum Otto
Michele Campisi, Rosario Fazio
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Universal Finite Size Scaling Functions in the 3D Ising Spin Glass
, 1999 We study the three-dimensional Edwards-Anderson model with binary interactions by Monte Carlo simulations. Direct evidence of finite-size scaling is provided, and the universal finite-size scaling functions are determined.
A. T. Ogielski +19 more
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AbstractIn this chapter we will introduce the theory of finite size scaling and demonstrate how we can apply the theory to improve our measurements of the properties of percolation clusters. Usually, we attempt to measure properties of percolation system in the largest possible system we can simulate.
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