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We discuss the finite-size effects on the chiral phase transition in QCD. We employ the Nambu-Jona-Lasinio model and calculate the thermodynamic potential in the mean-field approximation. Finite-size effects on the thermodynamic potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. Kiriyama , T. Kodama , T. Koide

The finite-size effect on the antiferromagnetic (AF) transition and electronic configuration of iron has been observed in LiFePO4. Determination of the scaling behavior of the AF transition temperature (TN) versus the particle-size…

Materials Science · Physics 2012-10-29 G. J. Shu , M. W. Wu , F. C. Chou

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

The interplay between magnetic and topological order can give rise to phenomena such as the quantum anomalous Hall effect. The extension of topological surface states into magnetic insulators (MIs) has been proposed as an alternative to…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Eirik Holm Fyhn , Hendrik Bentmann , Jacob Linder

We discuss finite-size effects in one disordered ${\lambda}{\phi}^{4}$ model defined in a $d$-dimensional Euclidean space. We consider that the scalar field satisfies periodic boundary conditions in one dimension and it is coupled with a…

Statistical Mechanics · Physics 2016-12-21 R. Acosta Diaz , N. F. Svaiter

We study temperature and finite-size effects on the spontaneous symmetry breaking/restoration for a scalar field model under the influence of an external magnetic field, at finite chemical potential. We use the 2PI formalism and consider…

High Energy Physics - Theory · Physics 2013-11-21 L. M. Abreu , C. A. Linhares , A. P. C. Malbouisson , J. M. C. Malbouisson

We discuss the finite-size properties of a simple integrable quantum field theory in 1+1 dimensions with non-trivial boundary conditions. Novel off-critical identities between cylinder partition functions of models with differing boundary…

High Energy Physics - Theory · Physics 2009-10-16 P. Dorey , M. Pillin , A. Pocklington , I. Runkel , R. Tateo , G. M. T. Watts

The finite-size critical properties of the ${\cal O}(n)$ vector $\phi^4$ model, with long-range interaction decaying algebraically with the interparticle distance $r$ like $r^{-d-\sigma}$, are investigated. The system is confined to a…

Statistical Mechanics · Physics 2012-06-14 H. Chamati

We study fermions in a magnetic field in a finite size cylinder. With the boundary condition for the fermion flux, we show that the energy spectra and the wave-functions are modified by the finite size effect; the boundary makes the…

High Energy Physics - Phenomenology · Physics 2017-10-04 Hao-Lei Chen , Kenji Fukushima , Xu-Guang Huang , Kazuya Mameda

We apply new techniques developed in a previous paper to the study of some surface effects in the 2D Ising model. We examine in particular the pinning-depinning transition. The results are valid for all subcritical temperatures. By duality…

Statistical Mechanics · Physics 2011-08-25 C. -E. Pfister , Y. Velenik

We study the finite-size scaling of moments of the magnetization in the low-temperature phase of the two-dimensional Ising model.

High Energy Physics - Lattice · Physics 2009-10-22 S. Gupta , A. Irbaeck

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

The interest in the topological properties of materials brings into question the problem of topological phase transitions. As a control parameter is varied, one may drive a system through phases with different topological properties. What…

Strongly Correlated Electrons · Physics 2019-03-05 Mucio A. Continentino , Sabrina Rufo , Griffith M. Rufo

Periodic boundary conditions have not a unique implementation in magnetic systems where all spins interact with each other through a power law decaying interaction of the form $1/r^\alpha$, $r$ being the distance between spins. In this work…

Statistical Mechanics · Physics 2009-11-10 Sergio A. Cannas , Cintia M. Lapilli , Daniel A. Stariolo

From a macroscopic point of view phase transitions as surface melting or two dimensional (2D) towards three dimensional (3D) growth mode (Stranski-Krastanov transition) can be described in terms of Gibbs excess quantity duly amended by size…

Materials Science · Physics 2007-06-22 P. Muller

We report tests of finite-size scaling ansatzes in the low temperature phase of the two-dimensional Ising model. For moments of the magnetisation density, we find good agreement with the new ansatz of Borgs and Koteck\'y, and clear evi…

High Energy Physics - Lattice · Physics 2011-04-15 S. Gupta , A. Irbaeck

In this work we investigate the finite-size effects on the phase structure of Walecka model within the framework of generalized Zeta-function, focusing on the influence of temperature as well as the number and length of compactified spatial…

Nuclear Theory · Physics 2017-11-22 L. M. Abreu , E. S. Nery

We consider edge effects in grafted polymer layers under compression. For a semi-infinite brush, the penetration depth of edge effects $\xi\propto h_0(h_0/h)^{1/2}$ is larger than the natural height $h_0$ and the actual height $h$. For a…

Soft Condensed Matter · Physics 2017-09-13 T. A. Vilgis , A. Johner , J. F. Joanny

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

The finite-size effects prominent in zero-range processes exhibiting a condensation transition are studied by using continuous-time Monte Carlo simulations. We observe that, well above the thermodynamic critical point, both static and…

Statistical Mechanics · Physics 2010-09-21 Janne Juntunen , Otto Pulkkinen , Juha Merikoski