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Related papers: The Interface Tension of the Three-dimensional Isi…

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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

The interface tension in the three-dimensional Ising model in the low temperature phase is investigated by means of the Monte Carlo method. Together with other physically relevant quantities it is obtained from a calculation of time-slice…

High Energy Physics - Lattice · Physics 2010-12-23 Sabine Klessinger , Gernot Muenster

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

We determine the interface tension for the 100, 110 and 111 interface of the simple cubic Ising model with nearest-neighbour interaction using novel simulation methods. To overcome the droplet/strip transition and the droplet nucleation…

Statistical Mechanics · Physics 2009-07-20 Elmar Bittner , Andreas Nußbaumer , Wolfhard Janke

We study the roughening transition of an interface in an Ising system on a 3D simple cubic lattice using a finite size scaling method. The particular method has recently been proposed and successfully tested for various solid on solid…

High Energy Physics - Lattice · Physics 2009-10-28 M. Hasenbusch , S. Meyer , M. Pütz

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

To investigate order-order interfaces, we perform multimagnetical Monte Carlo simulations of the $2D$ and $3D$ Ising model. Following Binder we extract the interfacial free energy from the infinite volume limit of the magnetic probability…

High Energy Physics - Lattice · Physics 2009-10-22 B. A. Berg , U. Hansmann , T. Neuhaus

{}From the non-equilibrium critical relaxation study of the two-dimensional Ising model, the dynamical critical exponent $z$ is estimated to be $2.165 \pm 0.010$ for this model. The relaxation in the ordered phase of this model is…

Condensed Matter · Physics 2009-10-22 Nobuyasu Ito

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

Membranes containing a wide variety of ternary mixtures of high chain-melting temperature lipids, low chain-melting temperature lipids, and cholesterol undergo lateral phase separartion into coexisting liquid phases at a miscibility…

We study interfaces with periodic boundary conditions in the low temperature phase of the improved Blume-Capel model on the simple cubic lattice. The interface free energy is defined by the difference of the free energy of a system with…

Statistical Mechanics · Physics 2017-09-28 Martin Hasenbusch

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 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 consider the three-dimensional Ising model slightly below its critical temperature, with boundary conditions leading to the presence of an interface. We show how the interfacial properties can be deduced starting from the particle modes…

Statistical Mechanics · Physics 2020-08-17 Gesualdo Delfino , Walter Selke , Alessio Squarcini

We consider phase separation on the strip for the two-dimensional Ising model in the near-critical region. Within the framework of field theory, we find exact analytic results for certain two- and three-point correlation functions of the…

Statistical Mechanics · Physics 2021-09-01 Alessio Squarcini , Antonio Tinti

The critical behavior of Ising model on a one-dimensional network, which has long-range connections at distances $l>1$ with the probability $\Theta(l)\sim l^{-m}$, is studied by using Monte Carlo simulations. Through studying the Ising…

Pattern Formation and Solitons · Physics 2009-11-13 YunFeng Chang , Liang Sun , Xu Cai

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

Interfaces involving coexisting phases in condensed matter are essential in various examples of soft matter phenomena such as wetting, nucleation, morphology, phase separation kinetics, membranes, phase coexistence in nanomaterials, etc.…

Statistical Mechanics · Physics 2014-10-08 E. Mayoral , A. Gama Goicochea

We study the interfaces arising in the two-dimensional Ising model at critical temperature, without magnetic field. We show that in the presence of free boundary conditions between plus and minus spins, the scaling limit of these interfaces…

Probability · Mathematics 2011-10-18 Clément Hongler , Kalle Kytölä

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
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