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The surface and bulk properties of the two-dimensional Q > 4 state Potts model in the vicinity of the first order bulk transition point have been studied by exact calculations and by density matrix renormalization group techniques. For the…

Statistical Mechanics · Physics 2009-10-31 Ferenc Igloi , Enrico Carlon

We study phase transitions of the Potts model on the centered-triangular lattice with two types of couplings, namely $K$ between neighboring triangular sites, and $J$ between the centered and the triangular sites. Results are obtained by…

Statistical Mechanics · Physics 2020-01-22 Zhe Fu , Wenan Guo , Henk W. J. Blöte

We consider the Potts model on a two-dimensional periodic rectangular lattice with general coupling constants $J_{ij}>0$, where $i,j\in\{1,2,3\}$ are the possible spin values (or colors). The resulting energy landscape is thus significantly…

Probability · Mathematics 2024-05-09 Gianmarco Bet , Anna Gallo , Seonwoo Kim

We present a new type of temperature driven spin reorientation transition (SRT) in thin films. It can occur when the lattice and the shape anisotropy favor different easy directions of the magnetization. Due to different temperature…

Strongly Correlated Electrons · Physics 2007-05-23 F. Koermann , S. Schwieger , J. Kienert , W. Nolting

The presence of stable topological defects in a two-dimensional (\textit{d} = 2) liquid crystal model allowing molecular reorientations in three dimensions (\textit{n} = 3) was largely believed to induce defect-mediated…

Soft Condensed Matter · Physics 2018-11-28 B. Kamala Latha , V. S. S. Sastry

Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a submonolayer lattice-gas of interacting monomers adsorbed on one-dimensional channels arranged in a triangular…

Strongly Correlated Electrons · Physics 2009-11-11 P. M. Pasinetti , F. Roma , J. L. Riccardo , A. J. Ramirez-Pastor

The liquid-vapour phase transition near a weakly attractive surface is studied by simulations of the coexistence curves of water in hydrophobic pores. There is a pronounced gradual density depletion of the liquid phase near the surface…

Statistical Mechanics · Physics 2009-11-10 I. Brovchenko , A. Geiger , A. Oleinikova

Using Monte Carlo simulations and finite-size scaling, we study three-state Potts antiferromagnet on layered square lattice with two and four layers $L_z=2$ and $4$. As temperature decreases, the system develops quasi-long-range order via a…

Statistical Mechanics · Physics 2015-06-23 Chengxiang Ding , Wenan Guo , Youjin Deng

The phase diagram of $Pr_{1-x}Ca_xMnO_3$ is modified x $\le$ 0.3, which suggests a reevaluation of the phase diagram of other manganites in that doping region. Rather than an orbital ordered phase reaching up to high temperatures of…

We study the q-state Potts model on the simple cubic lattice with ferromagnetic interactions in one lattice direction, and antiferromagnetic interactions in the two other directions. As the temperature T decreases, the system undergoes a…

Statistical Mechanics · Physics 2016-09-07 Chengxiang Ding , Henk W. J. Bloete , Youjin Deng

Motivated by recent realizations of Dy$_{2}$Ti$_{2}$O$_{7}$ and Ho$_{2}$Ti$_{2}$O$_{7}$ spin ice thin films, and more generally by the physics of confined gauge fields, we study a model of spin ice thin film with surfaces perpendicular to…

Statistical Mechanics · Physics 2017-05-24 L. D. C. Jaubert , T. Lin , T. S. Opel , P. C. W. Holdsworth , M. J. P. Gingras

A simple and predictive model is put forward explaining the experimentally observed substantial shift of the glass transition temperature, Tg, of sufficiently thin polymer films. It focuses on the limit of small molecular weight, where…

Soft Condensed Matter · Physics 2009-11-07 Stephan Herminghaus , Karin Jacobs , Ralf Seemann

In the present paper, the connection between surface order-disorder phase transitions and the percolating properties of the adsorbed phase has been studied. For this purpose, four lattice-gas models in presence of repulsive interactions…

Computational Physics · Physics 2009-11-13 M. Cecilia Gimenez , Felix Nieto , Antonio J. Ramirez-Pastor

Spontaneous onset of a low temperature topologically ordered phase in a 2-dimensional (2D) lattice model of uniaxial liquid crystal (LC) was debated extensively pointing to a suspected underlying mechanism affecting the RG flow near the…

Soft Condensed Matter · Physics 2021-06-29 B. Kamala Latha , Surajit Dhara , V. S. S. Sastry

Vanadium sesquioxide (V2O3) is an archetypal Mott insulator in which the atomic positions and electron correlations change as temperature, pressure or doping are varied giving rise to different structural, magnetic or electronic phase…

Strongly Correlated Electrons · Physics 2024-06-12 P. Homm , M. Menghini , J. W. Seo , S. Peters , J. -P. Locquet

We study the $q$ states Potts model with four site interaction on the square lattice. Based on the asymptotic behaviour of lattice animals, it is argued that when $q\leq 4$ the system exhibits a second-order phase transition, and when $q >…

Statistical Mechanics · Physics 2018-03-14 Nir Schreiber , Reuven Cohen , Simi Haber

We have found a new mean field solution in the BCS theory of superconductivity. This unconventional solution indicates the existence of superconducting phase transitions of third order in thin films, or in bulk matter with a layered…

Condensed Matter · Physics 2007-05-23 Christofer Cronstrom , Milan Noga

We study orientational ordering of $2$-dimensional closely packed Janus particles by extensive Monte Carlo simulations. For smaller patch sizes the system remains in the plastic crystal phase where the rotational degrees of freedom are…

Soft Condensed Matter · Physics 2018-07-13 Kota Mitsumoto , Hajime Yoshino

We investigate the 2- and 3-state ferromagnetic Potts models on the simple cubic lattice using the tensor renormalization group method with higher-order singular value decomposition (HOTRG). HOTRG works in the thermodynamic limit, where we…

Statistical Mechanics · Physics 2014-09-16 S. Wang , Z. Y. Xie , J. Chen , B. Normand , T. Xiang

The nonequilibrium dynamics of a cycling three-state Potts model is studied on a square lattice using Monte Carlo simulations and continuum theory. This model is relevant to chemical reactions on a catalytic surface and to molecular…

Statistical Mechanics · Physics 2024-10-08 Hiroshi Noguchi , Jean-Baptiste Fournier