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Using Monte Carlo simulations, finite-size effects of interfacial properties in the rough phase of the Ising on a cubic lattice with $L\times L\times R$ sites are studied. In particular, magnetization profiles perpendicular to the flat…

Statistical Mechanics · Physics 2020-12-01 Walter Selke

We study the effect of free boundaries in finite magnetic systems of cubic shape on the field and temperature dependence of the magnetization within the isotropic model of D-component spin vectors in the limit D \to \infty. This model is…

Statistical Mechanics · Physics 2009-10-31 H. Kachkachi , D. A. Garanin

Using $\phi^4$ field theory and Monte Carlo (MC) simulation we investigate the finite-size effects of the magnetization $M$ for the three-dimensional Ising model in a finite cubic geometry with periodic boundary conditions. The field theory…

Statistical Mechanics · Physics 2009-10-31 X. S. Chen , V. Dohm , D. Stauffer

We present the first analytic study of finite-size effects on critical diffusion above and below T_c of three-dimensional Ising-like systems whose order parameter is coupled to a conserved density. We also calculate the finite-size…

Statistical Mechanics · Physics 2009-10-31 Wolfgang Koch , Volker Dohm

Diffusion on a T fractal lattice under the influence of topological biasing fields is studied by finite size scaling methods. This allows to avoid proliferation and singularities which would arise in a renormalization group approach on…

Condensed Matter · Physics 2015-06-25 G. Sartoni , A. L. Stella

The zero-temperature, classical $XY$-model on an $L \times L$ square-lattice is studied by exploring the distribution $\Phi_L(y)$ of its centered and normalized magnetization $y$ in the large $L$ limit. An integral representation of the…

Statistical Mechanics · Physics 2016-09-07 G. Palma , F. Niedermayer , Z. Rácz , A. Riveros , D. Zambrano

The interface between domains of opposite magnetization in the 3D Ising model near the critical temperature displays universal finite-size effects which can be described in terms of a gaussian model of capillary waves. It turns out that…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , F. Gliozzi , S. Vinti

We consider classical lattice models describing first-order phase transitions, and study the finite-size scaling of the magnetization and susceptibility. In order to model the effects of an actual surface in systems like small magnetic…

Condensed Matter · Physics 2009-10-28 C. Borgs , R. Kotecky

The effect of the finite system size on the QCD phase diagram was studied with various momentum space constraints within a mean-field quark-meson model. On the one hand side, the choice of the scenario -- low-momentum cutoff and…

High Energy Physics - Phenomenology · Physics 2025-04-25 Győző Kovács

Using Monte Carlo and spin-dynamics methods, we have investigated the dynamic behavior of the classical, antiferromagnetic XY model on a triangular lattice with linear sizes $L \leq 300$. The temporal evolutions of spin configurations were…

Statistical Mechanics · Physics 2009-11-07 Kwangsik Nho , D. P. Landau

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

We experimentally investigate the effects of finite-system size on the dynamics of weakly nonlinear random gravity-capillary surface waves. Experiments are conducted in rectangular tanks with varying aspect ratios, in which the fluid…

Fluid Dynamics · Physics 2026-02-10 Tanu Singla , Jean-Baptiste Gorce , Eric Falcon

Monte Carlo simulations of a model for $\gamma$-Fe$_2$O$_3$ (maghemite) single particle of spherical shape are presented aiming at the elucidation the specific role played by the finite size and the surface on the anomalous magnetic…

Materials Science · Physics 2007-05-23 Oscar Iglesias , Amilcar Labarta , Felix Ritort

Finite-size quantum spin systems can be magnetized by the application of a symmetry-breaking field, but in general their symmetry is expected to be restored once the field is turned off adiabatically. Recently (F. Caleca et al.,…

Strongly Correlated Electrons · Physics 2025-11-18 Filippo Caleca , Saverio Bocini , Fabio Mezzacapo , Tommaso Roscilde

A prototype Hamiltonian for the generic patterned magnetic structures, of dipolar interaction with perpendicular anisotropy, is investigated within the finite-size framework by Landau-Lifshift-Gilbert classical spin dynamics. Modifications…

Materials Science · Physics 2007-05-23 R. H. He , X. F. Jin

We study the role of finite size effects on a metallic critical behavior near a q = 0 critical point and compare the results with the recent extensive quantum Monte-Carlo (QMC) study [Y. Schattner et al, PRX 6, 0231028]. This study found…

Strongly Correlated Electrons · Physics 2017-08-02 Avraham Klein , Andrey Chubukov

For lattice calculations with light dynamical quarks, finite size effects have become an important aspect. We study finite size effects in nucleon masses on N_f=2 dynamical lattices of 1-2 fm. Predictions for the finite size effects are…

High Energy Physics - Lattice · Physics 2008-11-26 A. Ali Khan , T. Bakeyev , M. Göckeler , R. Horsley , A. C. Irving , D. Pleiter , P. Rakow , G. Schierholz , H. Stüben

Finite-size scaling functions are investigated both for the mean-square magnetization fluctuations and for the probability distribution of the magnetization in the one-dimensional Ising model. The scaling functions are evaluated in the…

Statistical Mechanics · Physics 2009-11-10 T. Antal , M. Droz , Z. Racz

We calculate the orbital magnetization of a confined 2DEG as a function of the number of electrons in the system. Size effects are investigated by systematically increasing the area of the confining region. The results for the finite system…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sigurdur I. Erlingsson , Andrei Manolescu , Vidar Gudmundsson

We investigate the finite size effect on masses of excited baryons in quenched lattice QCD simulation. For this purpose, we perform numerical simulations at three different lattice sizes, La\simeq 1.6, 2.2 and 3.2 fm. The gauge…

High Energy Physics - Lattice · Physics 2007-05-23 Kiyoshi Sasaki , Shoichi Sasaki
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