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Melting in two spatial dimensions, as realized in thin films or at interfaces, represents one of the most fascinating phase transitions in nature, but it remains poorly understood. Even for the fundamental hard-disk model, the melting…

Soft Condensed Matter · Physics 2015-03-13 Etienne P. Bernard , Werner Krauth

Phase transitions inside the pores of an aerogel are investigated by modelizing the aerogel structure by diffusion-limited cluster-cluster aggregation on a cubic lattice in a finite box and considering $q$-states Potts variables on the…

Condensed Matter · Physics 2009-10-28 Katarina Uzelac , Anwar Hasmy , Rémi Jullien

The first-order phase transitions in the lattice model of Janus-like particles confined in slit-like pores are studied. We assume a cubic lattice with molecules that can freely change their orientation on a lattice site. Moreover, the…

Soft Condensed Matter · Physics 2017-02-13 M. Borówko , A. Patrykiejew , W. Rzysko , S. Sokołowski

We report a numerical evidence of the discontinuous transition of a tethered membrane model which is defined within a framework of the membrane elasticity of Helfrich. Two kinds of phantom tethered membrane models are studied via the…

Statistical Mechanics · Physics 2009-11-10 Hiroshi Koibuchi , Nobuyuki Kusano , Atsusi Nidaira , Komei Suzuki , Mitsuru Yamada

A polymer chain tethered to a surface may be compact or extended, adsorbed or desorbed, depending on interactions with the surface and the surrounding solvent. This leads to a rich phase diagram with a variety of transitions. To investigate…

Soft Condensed Matter · Physics 2009-11-13 Jutta Luettmer-Strathmann , Federica Rampf , Wolfgang Paul , Kurt Binder

The triangular lattice model with nearest-neighbor attraction and third-neighbor repulsion, introduced in [J. Pekalski, A. Ciach and N. G. Almarza, arXiv:1401.0801 [cond-mat.soft]] is studied by Monte Carlo simulation. Introduction of…

Soft Condensed Matter · Physics 2015-06-18 N. G. Almarza , J. Pekalski , A. Ciach

It is discussed how phase transitions of first order (with phase separation and surface tension), continuous transitions and (multi)-critical points can be defined and classified for finite systems from the topology of the energy surface…

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross , E. Votyakov

Recent studies of melting in hard disks have confirmed the existence of a hexatic phase occurring in a narrow window of density which is separated from the isotropic liquid phase by a first-order transition, and from the solid phase by a…

Statistical Mechanics · Physics 2017-09-20 John Russo , Nigel B. Wilding

Coordinated cellular movements are key processes in tissue morphogenesis. Using a cell-based modeling approach we study the dynamics of epithelial layers lining surfaces with constant and varying curvature. We demonstrate that extrinsic…

Soft Condensed Matter · Physics 2024-03-21 Lea Happel , Axel Voigt

One-dimensional model of a system where first-order phase transition occurs is examined in the present paper. It is shown that basic properties of the phenomenon, such as a well defined temperature of transition, are caused both by…

Statistical Mechanics · Physics 2009-07-29 Marcin Ostrowski

We introduce a model of granular matter and use a stress ensemble to analyze shearing. Monte Carlo simulation shows the model to exhibit a second order phase transition, associated with the onset of dilatancy.

Soft Condensed Matter · Physics 2015-05-18 David Aristoff , Charles Radin

We study the melting of a moving vortex lattice through numerical simulations with the current driven 3D XY model with disorder. We find that there is a first-order phase transition even for large disorder when the corresponding equilibrium…

Superconductivity · Physics 2009-10-28 Daniel Dominguez , Niels Gronbech-Jensen , A. R. Bishop

Using Monte Carlo simulations and finite-size scaling analysis, we show that the $q$-state clock model with $q=6$ on the simple cubic lattice with open surfaces has a rich phase diagram; in particular, it has an extraordinary-log phase,…

Statistical Mechanics · Physics 2022-08-25 Xuan Zou , Shuo Liu , Wenan Guo

We perform Monte Carlo simulations of a three-dimensional spin system with a Hamiltonian which contains only four-spin interaction term. This system describes random surfaces with extrinsic curvature - gonihedric action. We study the…

Condensed Matter · Physics 2009-11-07 G. Koutsoumbas , G. K. Savvidy

A phase-separation front will leave in its wake a phase-separated morphology that differs markedly from homogeneous phase-separation morphologies. For a purely diffusive system such a front, moving with constant velocity, will generate very…

Soft Condensed Matter · Physics 2013-05-30 E. M. Foard , A. J. Wagner

This letter investigates the molecular dynamics of inelastic disks without external forcing. By introducing a new observation frame with a rescaled time, we observe the virtual steady states converted from asymptotic energy dissipation…

Statistical Mechanics · Physics 2009-10-31 Teruhisa S. Komatsu

The paper deals with systems of ordinary differential equations containing in the right-hand side controls which are discontinuous in phase variables. These controls cause the occurrence of sliding modes. If one uses one of the well-known…

Optimization and Control · Mathematics 2023-05-05 Alexander Fominyh

Phase transitions of systems confined in long cylindrical pores (capillary condensation, wetting, crystallization, etc.) are intrinsically not sharply defined but rounded. The finite size of the cross section causes destruction of long…

Statistical Mechanics · Physics 2015-05-19 Dorothea Wilms , Alexander Winkler , Peter Virnau , Kurt Binder

A vertex model introduced by M. Bowick, P. Di Francesco, O. Golinelli, and E. Guitter (cond-mat/9502063) describing the folding of the triangular lattice onto the face centered cubic lattice has been studied in the hexagon approximation of…

High Energy Physics - Theory · Physics 2009-10-28 Emilio N. M. Cirillo , Giuseppe Gonnella , Alessandro Pelizzola

We use computer simulations to analyse the yielding transition during large-amplitude oscillatory shear of a simple model for soft jammed solids. Simultaneous analysis of global mechanical response and particle-scale motion demonstrates…

Soft Condensed Matter · Physics 2016-09-07 Takeshi Kawasaki , Ludovic Berthier
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