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Instabilities and pattern formation is the rule in nonequilibrium systems. Selection of a persistent lengthscale, or coarsening (increase of the lengthscale with time) are the two major alternatives. When and under which conditions one…

Statistical Mechanics · Physics 2010-01-25 Chaouqi Misbah , Paolo Politi

We report two-dimensional phase-field simulations of locally-conserved coarsening dynamics of random fractal clusters with fractal dimension D=1.7 and 1.5. The correlation function, cluster perimeter and solute mass are measured as…

Soft Condensed Matter · Physics 2009-11-07 Azi Lipshtat , Baruch Meerson , Pavel V. Sasorov

We consider a cluster growth model on the d-dimensional lattice, called internal diffusion limited aggregation (internal DLA). In this model, random walks start at the origin, one at a time, and stop moving when reaching a site not occupied…

Probability · Mathematics 2013-06-03 Amine Asselah , Alexandre Gaudilliere

Periodically driven quantum systems can realize novel phases of matter that do not exist in static settings. We study signatures of these drive-induced phases on the $(d+1)$-dimensional Floquet lattice, comprised of $d$ spatial dimensions…

Mesoscale and Nanoscale Physics · Physics 2019-01-11 Ian Mondragon-Shem , Ivar Martin , A. Alexandradinata , Meng Cheng

Quantum coherence and phase transitions are studied in a finite one-dimensional Bose--Hubbard model using exact diagonalization under thermal fluctuations, a Stark potential, and disorder. The condensate fraction, superfluid fraction,…

A diffusive system coupled to unequal boundary reservoirs reaches a non-equilibrium steady state. While the full-counting-statistics of current fluctuations in these states are well understood for generic systems, results for steady-state…

Statistical Mechanics · Physics 2026-01-29 Soumyabrata Saha , Tridib Sadhu

The major goal of the present paper is to find out the manifestation of the boundedness of fluctuations. Two different subjects are considered: (i) an ergodic Markovian process associated with a new type of large scaled fluctuations at…

Statistical Mechanics · Physics 2007-05-23 Maria K. Koleva , Valery C. Covachev

Simultaneous imaging of the piezoresponse phase, amplitude and bare surface topography of displacive ferroelectric thin films by scanning probe microscopy directly shows the nature of domain wall pinning and its relation to morphological…

Mesoscale and Nanoscale Physics · Physics 2010-01-05 S. Bhattacharya , M. J. Higgins

According to empirical observations, some pattern formation phenomena in driven many-particle systems are more pronounced in the presence of a certain noise level. We investigate this phenomenon of fluctuation-driven ordering with a…

Statistical Mechanics · Physics 2009-11-07 Dirk Helbing , Tadeusz Platkowski

We numerically investigate the correlation function, the response and the breakdown of the Fluctuation-Dissipation Theorem (FDT) in active particles close to the motility-induced critical point. We find a strong FDT violation in the short…

Soft Condensed Matter · Physics 2022-03-16 Claudio Maggi , Nicoletta Gnan , Matteo Paoluzzi , Emanuela Zaccarelli , Andrea Crisanti

We investigate how the scaling behavior of finite systems at magnetic first-order transitions (FOTs) with relaxational dynamics changes in correspondence of various boundary conditions. As a theoretical laboratory we consider the…

Statistical Mechanics · Physics 2019-07-24 Pierpaolo Fontana

We extend recent results on the exact hydrodynamics of a system of diffusive active particles displaying a motility-induced phase separation to account for typical fluctuations of the dynamical fields. By calculating correlation functions…

Statistical Mechanics · Physics 2021-08-26 Tal Agranov , Sunghan Ro , Yariv Kafri , Vivien Lecomte

The domain-area distribution in the phase transition dynamics of ${\rm Z}_2$ symmetry breaking is studied theoretically and numerically for segregating binary Bose--Einstein condensates in quasi-two-dimensional systems. Due to the dynamic…

Quantum Gases · Physics 2018-01-18 Hiromitsu Takeuchi

We suggest that nonequilibrium Bose-Einstein condensates may occur in time-periodically driven interacting Bose gases. Employing the model of a periodically forced bosonic Josephson junction, we demonstrate that resonance-induced ground…

Quantum Gases · Physics 2014-11-17 Bettina Gertjerenken , Martin Holthaus

Different scenarios of the fluctuation-induced disordering of the striped phase which is formed at low temperatures in the triangular-lattice Ising model with the antiferromagnetic interaction of nearest and next-to-nearest neighbors are…

Statistical Mechanics · Physics 2009-11-11 S. E. Korshunov

We investigate the microscopic mechanism of charge instabilities and the formation of inhomogeneous states in systems with strong electron correlations. It is demonstrated that within a strong coupling expansion the single-band Hubbard…

Superconductivity · Physics 2020-11-02 A. Bill , V. Hizhnyakov , R. K. Kremer , G. Seibold , A. Shelkan , A. Sherman

We investigate electronic transport across a magnetic domain wall (DW) in a three-dimensional (3D) second-order topological insulator subject to Anderson disorder. In the clean limit, the DW hosts two co-propagating one-dimensional (1D)…

Mesoscale and Nanoscale Physics · Physics 2026-04-24 Dong Zhou , Zhe Hou

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

The restricted solid-on-solid (RSOS) model is a model of continuous-time surface growth characterized by the constraint that adjacent height differences are bounded by a fixed constant. Though the model is conjectured to belong to the KPZ…

Probability · Mathematics 2025-04-22 Timothy Sudijono

We study clustering in a stochastic system of particles sliding down a fluctuating surface in one and two dimensions. In steady state, the density-density correlation function is a scaling function of separation and system size.This scaling…

Statistical Mechanics · Physics 2009-11-13 Mustansir Barma
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