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Related papers: Finite-size scaling in thin Fe/Ir(100) layers

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Exact results of the finite-size behavior of the susceptibility in three-dimensional mean spherical model films under Dirichlet-Dirichlet, Dirichlet-Neumann and Neumann-Neumann boundary conditions are presented. The corresponding scaling…

Statistical Mechanics · Physics 2009-11-10 Daniel M. Dantchev , Jordan G. Brankov

We simulate the spin-1/2 Ising model and the Blume-Capel model at various values of the parameter D on the simple cubic lattice. We perform a finite size scaling study of lattices of a linear size up to L=360 to obtain accurate estimates…

Statistical Mechanics · Physics 2013-05-29 Martin Hasenbusch

We report a high-precision finite-size scaling study of the critical behavior of the three-dimensional Ising Edwards-Anderson model (the Ising spin glass). We have thermalized lattices up to L=40 using the Janus dedicated computer. Our…

The two-dimensional Ising model with Brascamp-Kunz boundary conditions has a partition function more amenable to analysis than its counterpart on a torus. This fact is exploited to exactly determine the full finite-size scaling behaviour of…

High Energy Physics - Lattice · Physics 2015-06-25 Wolfhard Janke , Ralph Kenna

The critical phase transition in ferromagnetic ultrathin Fe/W(110) films has been studied using the magnetic ac susceptibility. A statistically objective, unconstrained fitting of the susceptibility is used to extract values for the…

Condensed Matter · Physics 2009-11-10 M. J. Dunlavy , D. Venus

We study the finite size scaling behaviour of the specific heat of thin films in the neighbourhood of the lambda-transition. To this end we have simulated the improved two-component phi^4 model on the simple cubic lattice. We employ free…

Statistical Mechanics · Physics 2015-05-13 Martin Hasenbusch

We study the critical behavior of magnetic thin films as a function of the film thickness. We use the ferromagnetic Ising model with the high-resolution multiple histogram Monte Carlo (MC) simulation. We show that though the 2D behavior…

Materials Science · Physics 2015-09-21 X. T. Pham Phu , V. Thanh Ngo , H. T. Diep

The corrections to finite-size scaling in the critical two-point correlation function G(r) of 2D Ising model on a square lattice have been studied numerically by means of exact transfer-matrix algorithms. The systems of square geometry with…

Statistical Mechanics · Physics 2007-05-23 J. Kaupuzs

We rederive the finite size scaling formula for the apparent critical temperature by using Mean Field Theory for the Ising Model above the upper critical dimension. We have also performed numerical simulations in five dimensions and our…

Condensed Matter · Physics 2009-10-28 Giorgio Parisi , Juan J. Ruiz-Lorenzo

Using Finite-Size Scaling techniques, we numerically show that the first irrelevant operator of the lattice $\lambda\phi^4$ theory in three dimensions is (within errors) completely decoupled at $\lambda=1.0$. This interesting result also…

High Energy Physics - Lattice · Physics 2009-10-31 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz-Sudupe

In the high dimension (mean field) limit the susceptibility and the second moment correlation length of the Ising ferromagnet depend on temperature as chi(T)=tau^{-1} and xi(T)=T^{-1/2}tau^{-1/2} exactly over the entire temperature range…

Statistical Mechanics · Physics 2009-11-13 I. A. Campbell , P. Butera

The corrections to finite-size scaling in the critical two-point correlation function G(r) of 2D Ising model on a square lattice have been studied numerically by means of exact transfer-matrix algorithms. The systems have been considered,…

Statistical Mechanics · Physics 2007-05-23 J. Kaupuzs

A recent paper [Burovski et al., cond-mat/0507352] reports on a new, high-accuracy simulation of the classical phi^4 model (in the three-dimensional XY universality class). The authors claim that a careful scaling analysis of their data…

Statistical Mechanics · Physics 2007-05-23 K. S. D. Beach

A finite-size scaling approach based on the transfer matrix method is developed to calculate the critical temperature and critical exponent of the symmetric and the asymmetric two-layer three-state Potts Models. For similar intralayer…

Statistical Mechanics · Physics 2007-05-23 Tahmasb Mardani , Behrouz Mirza , Mehrdad Ghaemi

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

Thermal and magnetic effects in a system consisting of thin layers of coupled Ising spins with $S=1/2$ and $S=1$ are considered. The specific heat and the correlation length display maxima at two different temperatures. It is discussed in…

Statistical Mechanics · Physics 2016-08-31 Dragi Karevski , Malte Henkel

Using single cluster flip Monte Carlo simulations we accurately determine new finite size scaling functions which are expressed only in terms the variable $x = \xi_L / L$, where $\xi_L$ is the correlation length in a finite system of size…

Condensed Matter · Physics 2009-10-28 Jae-Kwon Kim , Adauto J. F. de Souza\cite{addr} , D. P. Landau

Finite-size scaling (FSS) is a standard technique for measuring scaling exponents in spin glasses. Here we present a critique of this approach, emphasizing the need for all length scales to be large compared to microscopic scales. In…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. C. Carter , A. J. Bray , M. A. Moore

Simulations results are reported for critical point of the two-component $\phi^4$ field theory. The correlation length exponent is measured to high precision with the result $\nu=0.6717(3)$. This value is in agreement with recent simulation…

Statistical Mechanics · Physics 2009-11-11 Evgeni Burovski , Jonathan Machta , Nikolay Prokof'ev , Boris Svistunov

We perform estimation of critical exponents via large mass expansion under crucial help of delta-expansion. We address to the three dimensional Ising model at high temperature and estimate omega, the correction-to-scaling exponent, nu, eta…

High Energy Physics - Lattice · Physics 2014-10-16 Hirofumi Yamada
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