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Using the Monte Carlo method, we determine the free energy of the interface of the 3D Ising model in the scaling region. By integrating the interface energies over the inverse temperature $\beta$, we obtain estimates for the free energies…

Condensed Matter · Physics 2015-06-25 M. Hasenbusch , K. Pinn

We present estimates for the 3D Ising model on the cubic lattice, both regarding interface and bulk properties. We have results for the interface tension, in particular the amplitude sigma0 in the critical law sigma = sigma0*t**mu, and for…

High Energy Physics - Lattice · Physics 2009-10-30 M. Hasenbusch , K. Pinn

Interface free energy is the contribution to the free energy of a system due to the presence of an interface separating two coexisting phases at equilibrium. It is also called surface tension. The content of the paper is 1) the definition…

Statistical Mechanics · Physics 2009-11-30 C. -E. Pfister

We provide accurate Monte Carlo results for the free energy of interfaces with periodic boundary conditions in the 3D Ising model. We study a large range of inverse temperatures, allowing to control corrections to scaling. In addition to…

High Energy Physics - Lattice · Physics 2008-11-26 Michele Caselle , Martin Hasenbusch , Marco Panero

We compute properties of the interface of the 3-dimensional Ising model for a wide range of temperatures, covering the whole region from the low temperature domain through the roughening transition to the bulk critical point. The interface…

High Energy Physics - Lattice · Physics 2009-10-22 Martin Hasenbusch , Klaus Pinn

In Binder's approach the reduced interface tension sigma of the Ising model in the broken phase is determined from the finite volume effects of the partition function Z(M) at fixed total magnetization M. For small |M| the partition function…

High Energy Physics - Lattice · Physics 2007-05-23 U. -J. Wiese

I present a cluster Monte Carlo algorithm that gives direct access to the interface free energy of Ising models. The basic idea is to simulate an ensemble that consists of both configurations with periodic and with antiperiodic boundary…

High Energy Physics - Lattice · Physics 2009-10-22 Martin Hasenbusch

Motivated by recent observations of phase-segregated binary Bose-Einstein condensates, we propose a method to calculate the excess energy due to the interface tension of a trapped configuration. By this method one should be able to…

Statistical Mechanics · Physics 2008-08-20 Bert Van Schaeybroeck

In liquid mixtures and other binary systems at low temperatures the pure phases may coexist, separated by an interface. The interface tension vanishes according to $\sigma = \sigma_0 (1 - T/T_c)^{\mu}$ as the temperature T approaches the…

Statistical Mechanics · Physics 2010-12-23 Peter Hoppe , Gernot Münster

We compute a number of universal amplitude ratios in the three-dimensional Ising universality class. To this end, we perform Monte Carlo simulations of the improved Blume-Capel model on the simple cubic lattice. For example, we obtain…

Statistical Mechanics · Physics 2013-05-29 Martin Hasenbusch

Excess contributions to the free energy due to interfaces occur for many problems encountered in the statistical physics of condensed matter when coexistence between different phases is possible (e.g. wetting phenomena, nucleation, crystal…

Statistical Mechanics · Physics 2015-05-27 Kurt Binder , Benjamin Block , Subir K. Das , Peter Virnau , David Winter

The exchange or geometric cluster algorithm allows us to define a variance reduced estimator of the connected two-point function in the presence of a broken Z_2-symmetry. We present first numerical tests for the improved Blume-Capel model…

Statistical Mechanics · Physics 2016-03-30 Martin Hasenbusch

The reduced tension $\sigma_{cd}$ of the interface between the confined and the deconfined phase of $SU(3)$ pure gauge theory is determined from numerical simulations of the first transfer matrix eigenvalues. At $T_c = 1/L_t$ we find…

High Energy Physics - Lattice · Physics 2009-10-22 B. Grossmann , M. L. Laursen , T. Trappenberg , U. -J. Wiese

We consider the scaling limit of a generic ferromagnetic system with a continuous phase transition, on the half plane with boundary conditions leading to the equilibrium of two different phases below criticality. We use general properties…

Statistical Mechanics · Physics 2014-10-09 Gesualdo Delfino , Alessio Squarcini

The surface free energies, interfacial tensions and correlation lengths of the Andrews-Baxter-Forrester models in regimes III and IV are calculated with fixed boundary conditions. The interfacial tensions are calculated between arbitrary…

Condensed Matter · Physics 2007-05-23 David L. O'Brien , Paul A. Pearce

We compute properties of the interface of the 3-dimensional Ising model for a wide range of temperatures and for interface extensions up to 64 by 64. The interface tension sigma is obtained by integrating the surface energy density over the…

High Energy Physics - Lattice · Physics 2009-10-22 Martin Hasenbusch , Klaus Pinn

We present a study, within a mean-field approach, of the kinetics of the spin-1 Blume-Capel model on cylindrical Ising nanowire in the presence of a time-dependent oscillating external magnetic field. We employ the Glauber transition rates…

Statistical Mechanics · Physics 2014-06-27 Mehmet Ertas , Ersin Kantar

The surface tension $\sigma$ of the confined-deconfined interface is calculated in pure $SU(3)$ lattice gauge theory at finite temperatures employing the operator and integral methods on a lattice of a size $8^2\times N_z\times 2$ with…

High Energy Physics - Lattice · Physics 2014-11-17 Yasumichi Aoki , Kazuyuki Kanaya

We calculate the tension $\sigma$ of the interface between the confined and deconfined phases by the histogram method in SU(3) lattice gauge theory for temporal extents of 4 and 6 using the recent high-statistics data by QCDPAX…

High Energy Physics - Lattice · Physics 2014-11-17 Y. Iwasaki , K. Kanaya , Leo Kärkkäinen , K. Rummukainen , T. Yoshié

We present high-precision lattice results for the confined-deconfined interface tension and the latent heat of pure SU($N$) gauge theories up to $N=10$ and investigate their asymptotic $N$-dependency. For both quantities we observe the…

High Energy Physics - Lattice · Physics 2025-11-13 Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami
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