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Diffusion in an evolving environment is studied by continuos-time Monte Carlo simulations. Diffusion is modelled by continuos-time random walkers on a lattice, in a dynamic environment provided by bubbles between two one-dimensional…

Soft Condensed Matter · Physics 2010-11-22 Janne Juntunen , Juha Merikoski

We investigate the occurrence of waterlike thermodynamic and dynamic anomalous behavior in a one dimensional lattice gas model. The system thermodynamics is obtained using the transfer matrix technique and anomalies on density and…

Soft Condensed Matter · Physics 2015-03-11 Marco Aurélio A. Barbosa , Fernando Vito Barbosa , Fernando Albuquerque de Oliveira

Quantum droplets, stabilized by beyond-mean-field effects, represent a novel state of matter in quantum many-body systems. While previous studies have focused primarily on dipolar and contact-interacting systems, quadrupolar condensates…

Quantum Gases · Physics 2025-10-16 Wei-qi Xia , Xiao-ting Zheng , Xiao-wei Chen , Gui-hua Chen

We theoretically study dynamical formation of a quantum droplet in a two-component Bose-Hubbard system with an external trap potential. Specifically, the superfluid in the central region surrounded by the Mott insulator with double filling…

Quantum Gases · Physics 2022-03-14 Yoshihiro Machida , Ippei Danshita , Daisuke Yamamoto , Kenichi Kasamatsu

Interaction between spin waves (or excitons) moving in the lowest Landau level is studied using numerical diagonalization. Becuse of complicated statistics obeyed by these composite particles, their effective interaction is completely…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Arkadiusz Wojs , Anna Gladysiewicz , Daniel Wodzinski , John J. Quinn

Methods for studying droplets in models with quenched disorder are critically examined. Low energy excitations in two dimensional models are investigated by finding minimal energy interior excitations and by computing the effect of bulk…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Alan Middleton

We unravel the existence and nonequilibrium response of one-dimensional harmonically trapped droplet configurations in the presence of a central potential barrier or well. For fixed negative chemical potentials, it is shown that droplets…

Quantum Gases · Physics 2025-11-26 F. Bristy , G. A. Bougas , G. C. Katsimiga , S. I. Mistakidis

Multimode optical cavities can be used to implement interatomic interactions which are highly tunable in strength and range. For bosonic atoms trapped in an optical lattice, cavity-mediated interactions compete with the short-range…

Quantum Gases · Physics 2022-03-23 P. Karpov , F. Piazza

We consider the dynamics of $N$ interacting bosons initially forming a Bose-Einstein condensate. Due to an external trapping potential, the bosons are strongly confined in two dimensions, where the transverse extension of the trap is of…

Mathematical Physics · Physics 2019-12-09 Lea Boßmann , Stefan Teufel

We explore the energy spectra and associated fluxes of turbulent two-dimensional quantum droplets subjected to a rotating paddling potential which is removed after a few oscillation periods. A systematic analysis on the impact of the…

Quantum Gases · Physics 2025-07-04 Shawan Kumar Jha , Mahendra K. Verma , S. I. Mistakidis , Pankaj Kumar Mishra

The dynamical perspectives of bubble in a liquid droplet on smooth solid substrate can be revealed by investigating interfacial self-assembly phenomena. Moreover, the complexity in such system can be scaled down into a transparent immobile…

Soft Condensed Matter · Physics 2018-11-19 Mayuri Bora , Sushant K. Behera , Pritam Deb

We consider two minimal models of active fluid droplets that exhibit complex dynamics including steady motion, deformation, rotation and oscillating motion. First we consider a droplet with a concentration of active contractile matter…

Soft Condensed Matter · Physics 2016-12-20 Carl A. Whitfield , Rhoda J. Hawkins

Magnetic monopoles and kinks are topological excitations extensively investigated in quantum spin systems, but usually they are studied in different setups. We explore the conditions for the coexistence and the interaction effects of these…

Within the coexistence region between liquid and vapor the equilibrium pressure of a simulated fluid exhibits characteristic jumps and plateaus when plotted as a function of density at constant temperature. These features exclusively…

Statistical Mechanics · Physics 2015-09-09 S. Prestipino , C. Caccamo , D. Costa , G. Malescio , G. Munaò

Liquid droplets sliding along solid surfaces are a frequently observed phenomenon in nature, e.g., raindrops on a leaf, and in everyday situations, e.g., drops of water in a drinking glass. To model this situation, we use a phase field…

Computational Physics · Physics 2019-10-23 Henning Bonart , Christian Kahle , Jens-Uwe Repke

The theory developed in our previous papers is applied in this paper to investigate the dependence of slowing down of dynamics of glass-forming liquids on the attractive and repulsive parts of intermolecular interactions. Through an…

Soft Condensed Matter · Physics 2021-05-12 Ankit Singh , Yashwant Singh

We study fully three-dimensional droplets that slide down an incline by employing a thin-film equation that accounts for capillarity, wettability, and a lateral driving force in small-gradient (or long-wave) approximation. In particular, we…

Fluid Dynamics · Physics 2016-12-15 Sebastian Engelnkemper , Markus Wilczek , Svetlana V. Gurevich , Uwe Thiele

We investigate dynamics arising after an interaction quench in the quantum sine-Gordon model for a one-dimensional system initially prepared in a spatially inhomogeneous domain wall state. We study the time-evolution of the density, current…

Strongly Correlated Electrons · Physics 2015-05-20 Jarrett Lancaster , Emanuel Gull , Aditi Mitra

Cavitation and bubble dynamics are central concepts in engineering, the natural sciences, and the mathematics of fluid mechanics. Due to the nonlinear nature of their dynamics, the governing equations are not fully solvable. Here, the…

Fluid Dynamics · Physics 2014-10-15 Alexander R. Klotz

The present paper is devoted to the study of a simple model of interacting electrons in a random background. In a large interval $\Lambda$, we consider $n$ one dimensional particles whose evolution is driven by the Luttinger-Sy model, i.e.,…

Mathematical Physics · Physics 2014-08-26 Frédéric Klopp , Nikolaj Veniaminov