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Related papers: Interface tension of the 3d 4-state Potts model us…

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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

Paying attention to the difference of density of states, \Delta ln g(E) = ln g(E+\Delta E) - ln g(E), we study the convergence of the Wang-Landau method. We show that this quantity is a good estimator to discuss the errors of convergence,…

Statistical Mechanics · Physics 2012-01-10 Yukihiro Komura , Yutaka Okabe

Interplay of topology and competing interactions can induce new phases and phase transitions at finite temperatures. We consider a weakly coupled two-dimensional hexatic-nematic XY model with a relative $Z_3$ Potts degrees of freedom,and…

Statistical Mechanics · Physics 2023-04-18 Feng-Feng Song , Guang-Ming Zhang

We present exact calculations of the partition function of the q-state Potts model for general q and temperature on strips of the square lattice of width L_y=3 vertices and arbitrary length L_x with periodic longitudinal boundary…

Statistical Mechanics · Physics 2009-10-31 Shu-Chiuan Chang , Robert Shrock

We study the solid-on-solid interface model above a horizontal wall in three dimensional space, with an attractive interaction when the interface is in contact with the wall, at low temperatures. There is no bulk external field. The system…

Mathematical Physics · Physics 2010-03-30 Kenneth S. Alexander , François Dunlop , Salvador Miracle-Solé

We have developed a tensor network approach to the two-dimensional fully frustrated classical XY spin model on the kagome lattice, and clarified the nature of the possible phase transitions of various topological excitations.We find that…

Strongly Correlated Electrons · Physics 2023-07-24 Feng-Feng Song , Guang-Ming Zhang

We report on numerical simulations of the two-dimensional Blume-Capel ferromagnet embedded in the triangular lattice. The model is studied in both its first- and second-order phase transition regime for several values of the crystal field…

Statistical Mechanics · Physics 2011-02-04 N. G. Fytas

The mechanical problem discussed in this paper focuses on the stress state estimation in a composite laminate in the vicinity of a free edge or microcracks. To calculate these stresses, we use two models called Multiparticle Models of…

Classical Physics · Physics 2009-07-07 Rui Pedro Carreira , Jean-François Caron , Alberto Diaz Diaz

We consider a tiling model of the two-dimensional square-lattice, where each site is tiled with one of the sixteen Wang tiles. The ground states of this model are all quasi-periodic. The systems undergoes a disorder to quasi-periodicity…

Statistical Mechanics · Physics 2011-03-09 Ziv Rotman , Eli Eisenberg

We determine the interface free energy $F_{o.d.}$ between disordered and ordered phases in the q=10 and q=20 2-d Potts models using the results of multicanonical Monte Carlo simulations on $L^2$ lattices, and suitable finite volume…

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

Recent results establish for 2-spin antiferromagnetic systems that the computational complexity of approximating the partition function on graphs of maximum degree D undergoes a phase transition that coincides with the uniqueness phase…

Computational Complexity · Computer Science 2016-09-15 Andreas Galanis , Daniel Stefankovic , Eric Vigoda , Linji Yang

We use analytic bootstrap techniques for a CFT with an interface or a boundary. Exploiting the analytic structure of the bulk and boundary conformal blocks we extract the CFT data. We further constrain the CFT data by applying the equation…

High Energy Physics - Theory · Physics 2021-09-21 Parijat Dey , Alexander Söderberg

The exactly solvable four-vertex model on a square grid with the different boundary conditions is considered. The application of the Algebraic Bethe Ansatz method allows to calculate the partition function of the model. For the fixed…

Statistical Mechanics · Physics 2009-11-13 N. M. Bogoliubov

The influence of the external pressure and surface energy on the wetting transition at nanotextured interfaces is studied using molecular dynamics and continuum simulations. The surface roughness of the composite interface is introduced via…

Soft Condensed Matter · Physics 2018-07-12 Bishal Bhattarai , Nikolai V. Priezjev

This work deals with numerical simulation of water freezing and thawing in a complex three-dimensional geometry of a porous medium. The porous structure is represented by a virtual container filled with glass beads. Phase transition…

Computational Physics · Physics 2024-07-23 Pavel Strachota

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

We study a family of lattice-gas systems defined on semiregular grids, obtained by projecting the vertices of three different geodesic icosahedra onto a spherical surface. By using couplings up to third neighbors we explore various…

Statistical Mechanics · Physics 2026-01-21 Gabriele Costa , Santi Prestipino

In this work, we extend a phase-field approach for pressurized fractures to non-isothermal settings. Specifically, the pressure and the temperature are given quantities and the emphasis is on the correct modeling of the interface laws…

Numerical Analysis · Mathematics 2019-05-22 Nima Noii , Thomas Wick

We construct a method for verifying mode entanglement of N-mode W states. The ideal W state contains exactly one excitation symmetrically shared between N modes, but our method takes the existence of higher numbers of excitations into…

Quantum Physics · Physics 2009-08-03 Pavel Lougovski , S. J. van Enk , Kyung Soo Choi , Scott B. Papp , Hui Deng , H. J. Kimble

The paper is devoted to two-phase flow simulations and investigates the ability of a diffusive interface Cahn-Hilliard Volume-of-Fluid model to capture the dynamics of the air-sea interface at geophysically relevant Reynolds numbers. It…