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We study a d-dimensional lattice model of diffusing coalescing massive particles, with two parameters controlling deposition and evaporation of monomers. The unique stationary distribution for the system exhibits a phase transition in all…

Probability · Mathematics 2016-08-09 Colm Connaughton , R. Rajesh , Roger Tribe , Oleg Zaboronski

Recent observations of droplets in dipolar and binary Bose-Einstein condensate (BEC) motivates us to study the theory of droplet formation in detail. Precisely, we are interested in investigating the possibility of droplet formation in a…

Quantum Gases · Physics 2021-01-26 Argha Debnath , Ayan Khan

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

The effects of the finite size of a liquid drop undergoing a phase transition are described in terms of the complement, the largest (but still mesoscopic) drop representing the liquid in equilibrium with the vapor. Vapor cluster…

Nuclear Theory · Physics 2009-11-10 L. G. Moretto , K. A. Bugaev , J. B. Elliott , R. Ghetti , J. Helgesson , L. Phair

We study the formation of particle-imbalanced quantum droplets in a one-dimensional optical lattice containing a binary bosonic mixture at zero temperature. To understand the effects of the imbalance from both the few- and many-body…

The demixing of a binary fluid mixture, under gravity, is a two stage process. Initially droplets, or in general aggregates, grow diffusively by collecting supersaturation from the bulk phase. Subsequently, when the droplets have grown to a…

Statistical Mechanics · Physics 2014-12-01 Martin Rohloff , Tobias Lapp , Jürgen Vollmer

The coalescence of two liquid drops surrounded by a viscous gas is considered in the framework of the conventional model. The problem is solved numerically with particular attention to resolving the very initial stage of the process which…

Fluid Dynamics · Physics 2015-06-22 James E. Sprittles , Yulii D. Shikhmurzaev

We propose a simple, self-consistent kinetic model for the evolution of a mixture of droplets and vapor expanding adiabatically in vacuum after rapid, almost isochoric heating. We study the evolution of the two-phase fluid at intermediate…

Fluid Dynamics · Physics 2011-06-01 Julien Armijo , John J. Barnard

We reconsider model II of [J. Chem. Phys. 1968, 49, 1778--1783], a two-dimensional lattice-gas system featuring a crystalline phase and two distinct fluid phases (liquid and vapor). In this system, a particle prevents other particles from…

Statistical Mechanics · Physics 2022-04-01 Santi Prestipino , Gabriele Costa

We present here a simple model describing coexistence of solid and vapour phases. The two phases are separated by an interface. We show that when the concentration of supersaturated vapour reaches the dew-point, the droplet of solid is…

Mathematical Physics · Physics 2007-11-01 Dmitry Ioffe , Senya Shlosman

Quantum droplets are a quantum analogue to classical fluid droplets in that they are self-bound and display liquid-like properties -- such as incompressibility and surface tension -- though their stability is the result of quantum…

Quantum Gases · Physics 2023-07-25 Thomas A. Flynn , Luca Parisi , Thomas P. Billam , Nick G. Parker

The quark-meson-coupling model is used to study droplet formation from the liquid-gas phase transition in cold asymmetric nuclear matter. The critical density and proton fraction for the phase transition are determined in the mean field…

Nuclear Theory · Physics 2009-10-31 G. Krein , D. P. Menezes , M. Nielsen , C. Providencia

Aerobreakup of fluid droplets under the influence of impulsively generated high-speed gas flow using an open-ended shock tube is studied using experiments and numerical simulations. Breakup of mm-sized droplets at high Weber number was…

Fluid Dynamics · Physics 2022-06-24 James Leung , Mohana Gurunadhan , Shyam Menon

Quantum droplets have been recently observed in dipolar Bose-Einstein condensates (BECs) and in BEC mixtures. This forms the motivation for us to explore the dynamics of these droplets. We make use of the Extended Gross-Pitaevski equation…

Quantum Gases · Physics 2025-08-14 Akshat Pandey , Ayan Khan

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

The morphological paths towards equilibrium droplets during the late stages of the dewetting process of a liquid film from a liquid substrate is investigated experimentally and theoretically. As liquids, short chained polystyrene (PS) and…

Soft Condensed Matter · Physics 2012-12-07 Stefan Bommer , Sebastian Jachalski , Dirk Peschka , Ralf Seemann , Barbara Wagner

It is well known that the dielectric constant of two-dimensional (2D) electron system goes negative at low electron densities. A consequence of the negative dielectric constant could be the formation of the droplet state. The droplet state…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Junren Shi , Song He , X. C. Xie

The number of droplets which may be formed with a supersaturated vapor in presence of a gas cannot exceed a number proportional to (pv-pvo)4 where pv and pvo denote at the same temperature the pressure of the supersaturated vapor-gas…

Classical Physics · Physics 2008-01-17 Henri Gouin , Françoise Cubisol

Droplets abound in nature and technology. In general, they are multicomponent, and, when out of equilibrium, with gradients in concentration, implying flow and mass transport. Moreover, phase transitions can occur, with either evaporation,…

Fluid Dynamics · Physics 2020-05-11 Detlef Lohse , Xuehua Zhang

Quantum droplets are ultradilute liquid states which emerge from the competitive interplay of two Hamiltonian terms, the mean-field energy and beyond-mean-field correction, in a weakly interacting binary Bose gas. We relate the formation of…