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Related papers: Metastable Potts Droplets

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First-order phase transitions occur through the nucleation of critical bubbles of the stable phase within the metastable phase. Using holography, we present a fully microscopic description of these bubbles in a strongly coupled,…

High Energy Physics - Theory · Physics 2026-04-02 Carlos Hoyos , David Mateos , Wilke van der Schee , Javier G. Subils

The existence of a static lengthscale that grows in accordance with the dramatic slowing down observed at the glass transition is a subject of intense interest. A recent publication compared two proposals for this length scale, one based on…

Statistical Mechanics · Physics 2017-06-27 Ricardo Gutiérrez , Smarajit Karmakar , Yoav G. Pollack , Itamar Procaccia

Water's unique anomalies are vital in various applications and biological processes, yet the molecular mechanisms behind these anomalies remain debated, particularly in the metastable liquid phase under supercooling and stretching…

Statistical Mechanics · Physics 2024-05-17 Luis Enrique Coronas , Giancarlo Franzese

Spin glasses are the paradigm of complex systems. These materials present really slow dynamics. However, the nature of the spin glass phase in finite dimensional systems is still controversial. Different theories describing the low…

Disordered Systems and Neural Networks · Physics 2020-06-24 J. J. Ruiz-Lorenzo

Using multicanonical Metropolis simulations we estimate phase transition properties of 3D Potts models for q=4 to 10: The transition temperatures, latent heats, entropy gaps, normalized entropies at the disordered and ordered endpoints,…

High Energy Physics - Lattice · Physics 2008-11-26 Alexei Bazavov , Bernd A. Berg , Santosh Dubey

In this article, we have developed a computational model to determine the droplet formation regime and its transition in a square microfluidic flow-focusing device that eventually dictate the droplet shape, size, and its formation…

Fluid Dynamics · Physics 2025-10-28 Somasekhara Goud Sontti , Arnab Atta

The entanglement entropy, ${\cal S}$, is an indicator of quantum correlations in the ground state of a many body quantum system. At a second-order quantum phase-transition point in one dimension ${\cal S}$ generally has a logarithmic…

Statistical Mechanics · Physics 2017-01-11 Péter Lajkó , Ferenc Iglói

We derive high-temperature series expansions for the free energy and the susceptibility of random-bond $q$-state Potts models on hypercubic lattices using a star-graph expansion technique. This method enables the exact calculation of…

Statistical Mechanics · Physics 2009-11-07 Meik Hellmund , Wolfhard Janke

Here we consider a one-dimensional $q$-state Potts model with an external magnetic field and an anisotropic interaction that selects neighboring sites that are in the spin state 1. The present model exhibits an unusual behavior in the…

Statistical Mechanics · Physics 2021-06-09 Yury Panov , Onofre Rojas

We study the two-dimensional kinetic Ising model below its equilibrium critical temperature, subject to a square-wave oscillating external field. We focus on the multi-droplet regime where the metastable phase decays through nucleation and…

Statistical Mechanics · Physics 2009-10-31 G. Korniss , C. J. White , P. A. Rikvold , M. A. Novotny

We introduce a new experimental approach to study the structural transitions of large numbers of nanoparticle-coated droplets as their volume is reduced. We use an emulsion system where the dispersed phase is slightly soluble in the…

Soft Condensed Matter · Physics 2012-09-28 Sujit S. Datta , Ho Cheung Shum , David A. Weitz

We revisit the classic problem of the stability of drops and jets held by surface tension, while regarding the compressibility of bulk fluids and spatial dimensions as free parameters. By mode analysis, it is shown that there exists a…

Fluid Dynamics · Physics 2012-05-24 Umpei Miyamoto

A novel perturbation method for the stabilization of unstable intermediate states of hysteresis loop (i.e. S-shaped curve) is proposed. This method only needs output signals of the system to construct the perturbation form without…

chao-dyn · Physics 2009-10-31 Liu Yaowen , Ping Huican , Zhao Hong , Wang Yinghai

We present numerical simulations of avalanches and critical phenomena associated with hysteresis loops, modeled using the zero-temperature random-field Ising model. We study the transition between smooth hysteresis loops and loops with a…

Disordered Systems and Neural Networks · Physics 2009-10-31 Olga Perkovic , Karin A. Dahmen , James P. Sethna

The hysteresis loop in the zero-temperature random-field Ising model exhibits a critical point as the width of the disorder increases. Above six dimensions, the critical exponents of this transition, where the "infinite avalanche" first…

Condensed Matter · Physics 2009-10-22 Karin Dahmen , James P. Sethna

We study driven $q$-state Potts models with thermodynamically consistent dynamics and global coupling. For a wide range of parameters, these models exhibit a dynamical phase transition from decoherent oscillations into a synchronised phase.…

Statistical Mechanics · Physics 2025-01-28 Jan Meibohm , Massimiliano Esposito

The influence of uncorrelated, quenched disorder on the phase transition of two dimensional Potts models will be reviewed. After an introduction where the conditions of relevance of quenched randomness on phase transitions are exemplified…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bertrand Berche , Christophe Chatelain

Two dimensional (2D) classical system of dipole particles confined by a quadratic potential is studied. For clusters of N < 81 particles ground state configurations and appropriate eigenfrequencies and eigenvectors for the normal modes are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. I. Belousov , Yu. E. Lozovik

A system of a metastable phase with a pseudo continuous set of the heterogeneous centers is considered. An analytical theory for kinetics of decay of the metastable phase in such a system is constructed. The free energy of formation of a…

Condensed Matter · Physics 2007-05-23 V. Kurasov

We have simulated, by using cluster algorithm, the $q=8$ state Potts model in two-dimension with varying amount of quenched bond randomness. We have shown that there exist a finite size dependent threshold value of the introduced quenched…

Condensed Matter · Physics 2016-08-15 Fatih Yaşar , Yiğit Gündüç , Tarık Çelik