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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

The nonequilibrium short-time critical behaviors of driven and undriven lattice gases are investigated via Monte Carlo simulations in two spatial dimensions starting from a fully disordered initial configuration. In particular, we study the…

Statistical Mechanics · Physics 2017-02-16 Urna Basu , Valerio Volpati , Sergio Caracciolo , Andrea Gambassi

In epitaxially strained ferroelectric thin films and superlattices, the ferroelectric transition temperature can lie above the growth temperature. Ferroelectric polarization and domains should then evolve during the growth of a sample, and…

We investigated domain growth in switching processes between the low-spin and high-spin phases in thermally induced hysteresis loops of spin-crossover (SC) solids. Elastic interactions among the molecules induce effective long-range…

We show that, on a $d-$dimensional hypercubic lattice with $d>1$, conserved-mass transport processes, with {\it multidirectional} hopping that respect all symmetries of the lattice, exhibit power-law correlations for generic parameter…

Statistical Mechanics · Physics 2025-10-27 Animesh Hazra , Tanmoy Chakraborty , Anirban Mukherjee , Punyabrata Pradhan

We study a lattice gas model of hard-core particles on a square lattice experiencing nearest neighbour attraction $J$. Each particle has an internal orientation, independent of the others, that point towards one of the four nearest…

Statistical Mechanics · Physics 2024-09-20 Chandraniva Guha Ray , Indranil Mukherjee , P. K. Mohanty

The temporal evolution of step-edge fluctuations under electromigration conditions is analysed using a continuum Langevin model. If the electromigration driving force acts in the step up/down direction, and step-edge diffusion is the…

Materials Science · Physics 2009-11-13 P. J. Rous , T. W. Bole

We use large-scale Monte Carlo simulations to obtain comprehensive results for domain growth and aging in the random field XY model in dimensions $d=2,3$. After a deep quench from the paramagnetic phase, the system orders locally via…

Statistical Mechanics · Physics 2021-10-26 Ramgopal Agrawal , Manoj Kumar , Sanjay Puri

During muscle contraction, myosin motors anchored to thick filaments bind to and slide actin thin filaments. These motors rely on energy derived from ATP, supplied, in part, by diffusion from the sarcoplasm to the interior of the lattice of…

Subcellular Processes · Quantitative Biology 2021-06-28 Julie A Cass , C. Dave Williams , Tom C Irving , Eric Lauga , Sage Malingen , Tom L. Daniel , Simon N. Sponberg

Many physical phenomena occur on domains that grow in time. When the timescales of the phenomena and domain growth are comparable, models must include the dynamics of the domain. A widespread intrinsically slow transport process is…

Statistical Mechanics · Physics 2017-11-01 C. N. Angstmann , B. I. Henry , A. V. McGann

The motion of dopants in magnetic spin lattices has received tremendous attention for at least four decades due to its connection to high-temperature superconductivity. Despite these efforts, we lack a complete understanding of their…

Quantum Gases · Physics 2025-10-22 Mingru Yang , Sajant Anand , Kristian Knakkergaard Nielsen

Using artificial dissipation to tame entanglement growth, we chart the emergence of diffusion in a generic interacting lattice model for varying U(1) charge densities. We follow the crossover from ballistic to diffusive transport above a…

Strongly Correlated Electrons · Physics 2026-04-29 N. S. Srivatsa , Oliver Lunt , Tibor Rakovszky , Curt von Keyserlingk

Using high precision Monte Carlo simulations and a mean-field theory, we explore coarsening phenomena in a simple driven diffusive system. The model is reminiscent of vehicular traffic on a two-lane ring road. At sufficiently high density,…

Statistical Mechanics · Physics 2009-11-11 I. T. Georgiev , B. Schmittmann , R. K. P. Zia

Here we study a driven lattice gas model for microtubule depolymerizing molecular motors, where traffic jams of motors induce stochastic switching between microtubule growth and shrinkage. We term this phenomenon \enquote{traffic dynamic…

Statistical Mechanics · Physics 2015-05-07 Louis Reese , Anna Melbinger , Erwin Frey

We study the dimensional crossover of weak localization in strongly anisotropic systems. This crossover from three-dimensional behavior to an effective lower dimensional system is triggered by increasing temperature if the phase coherence…

Disordered Systems and Neural Networks · Physics 2009-10-30 C. Mauz , A. Rosch , P. Woelfle

Photoinduced melting of horizontal-stripe charge orders in quasi-two-dimensional organic conductors \theta-(BEDT-TTF)2RbZn(SCN)4[BEDT-TTF=bis(ethylenedithio)tetrathiafulvalene] and \alpha-(BEDT-TTF)2I3 is investigated theoretically. By…

Strongly Correlated Electrons · Physics 2010-02-10 Yasuhiro Tanaka , Kenji Yonemitsu

Liquid-gas phase coexistence in a boundary-driven diffusive system is studied by analyzing fluctuating hydrodynamics of a density field defined on a one-dimensional lattice with a space interval $\Lambda$. When an interface width $\ell$ is…

Statistical Mechanics · Physics 2024-11-28 Shin-ichi Sasa , Naoko Nakagawa

We present the analysis of a large sample of early-type galaxies (ETGs) at 0<z<3 aimed at tracing the cosmic evolution of their size and compare it with a model of pure dissipationless (dry) merging in the LambdaCDM framework. The effective…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 A. Cimatti , C. Nipoti , P. Cassata

Recent advances have highlighted the rich low-temperature kinetics of the long-range Ising model (LRIM). This study investigates domain growth in an LRIM with quenched disorder, following a deep low-temperature quench. Specifically, we…

Statistical Mechanics · Physics 2025-09-16 Ramgopal Agrawal , Federico Corberi , Eugenio Lippiello , Sanjay Puri

We study three different lattice models in which two species of diffusing particles are driven in opposite directions by an electric field. We focus on dynamical phase transitions that involve phase separation into domains that may be…

Statistical Mechanics · Physics 2022-09-15 Honghao Yu , Kristian Thijssen , Robert L. Jack