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Both polydispersity and the presence of a gravitational field are inherent to essentially any colloidal experiment. While several theoretical works have focused on the effect of polydispersity on the bulk phase behavior of a colloidal…

Soft Condensed Matter · Physics 2022-12-28 Tobias Eckert , Matthias Schmidt , Daniel de las Heras

This article deals with the issues of global-in-time existence and asymptotic analysis of a fluid-particle interaction model in the so-called bubbling regime. The mixture occupies the physical space $\Omega \subset \mathbb{R}^3$ which may…

Analysis of PDEs · Mathematics 2010-06-16 Jose A. Carrillo , Trygve Karper , Konstantina Trivisa

We consider a model in which positive and negative particles with equal densities diffuse in an asymmetric, CP invariant way on a ring. The positive particles hop clockwise, the negative counter-clockwise and oppositely-charged adjacent…

Statistical Mechanics · Physics 2015-06-25 Peter F. Arndt , Thomas Heinzel , Vladimir Rittenberg

The predictions of the mode-coupling theory of the glass transition (MCT) for the tagged-particle density-correlation functions and the mean-squared displacement curves are compared quantitatively and in detail to results from Newtonian-…

Statistical Mechanics · Physics 2009-11-10 Th. Voigtmann , A. M. Puertas , M. Fuchs

The superfluid transition of a three-dimensional gas of hard-sphere bosons in a disordered medium is studied using quantum Monte Carlo methods. Simulations are performed in continuous space both in the canonical and in the grand-canonical…

Other Condensed Matter · Physics 2015-05-13 S. Pilati , S. Giorgini , N. Prokof'ev

We study nonequilibrium phase transitions in a mass-aggregation model which allows for diffusion, aggregation on contact, dissociation, adsorption and desorption of unit masses. We analyse two limits explicitly. In the first case mass is…

Statistical Mechanics · Physics 2009-10-31 Satya N. Majumdar , Supriya Krishnamurthy , Mustansir Barma

We study the adsorption-desorption of fluid molecules on a solid substrate by introducing a schematic model in which the adsorption/desorption transition probabilities are given by irreversible kinetic constraints with a tunable violation…

Statistical Mechanics · Physics 2019-11-27 Mauro Sellitto

Based on quasi-stationary distribution ideas, a general finite size scaling theory is proposed for discontinuous nonequilibrium phase transitions into absorbing states. Analogously to the equilibrium case, we show that quantities such as,…

Statistical Mechanics · Physics 2015-12-23 M. M. de Oliveira , M. G. E. da Luz , C. E. Fiore

The phase transition of a fluid adsorbed in a heterogeneous system is studied with two simple lattice gas models within the framework of a mean-field theory. Despite the different origin of the heterogeneity (spatial variation of binding…

Statistical Mechanics · Physics 2007-05-23 E. V. Vakarin , W. Dong , J. P. Badiali

We consider stochastic rules of mass transport which lead to steady states that factorize over the links of a one-dimensional ring. Based on the knowledge of the steady states, we derive the onset of a phase transition from a liquid to a…

Statistical Mechanics · Physics 2015-05-13 B. Waclaw , J. Sopik , W. Janke , H. Meyer-Ortmanns

We study a Bose-Einstein condensate (BEC) at low energy limit and show that their collective dynamics exhibit interesting topological behavior. The system undergoes dynamical topological phase transition at its global periods if its…

Quantum Physics · Physics 2019-12-04 Mehdi Abdi

We prove the existence and uniqueness of an equilibrium state with unit mass to the dissipative linear Boltzmann equation with hard--spheres collision kernel describing inelastic interactions of a gas particles with a fixed background. The…

Statistical Mechanics · Physics 2009-11-10 Bertrand Lods , Giuseppe Toscani

Quantum superpositions of macroscopically distinguishable states having distinct phases can be created with a Bose-Einstein condensate trapped in a periodic potential. The experimental signature is contained in the phase distribution of the…

Other Condensed Matter · Physics 2008-11-06 F. Piazza , L. Pezze' , A. Smerzi

We report a Monte Carlo simulation study of the properties of highly asymmetric binary hard sphere mixtures. This system is treated within an effective fluid approximation in which the large particles interact through a depletion potential…

Statistical Mechanics · Physics 2009-11-11 Julio Largo , Nigel B. Wilding

We study by molecular dynamics computer simulation a binary soft-sphere mixture that shows a pronounced decoupling of the species' long-time dynamics. Anomalous, power-law-like diffusion of small particles arises, that can be understood as…

Statistical Mechanics · Physics 2013-05-29 Th. Voigtmann , J. Horbach

The concept of a supersolid state is paradoxical. It combines the crystallization of a many-body system with dissipationless flow of the atoms it is built of. This quantum phase requires the breaking of two continuous symmetries, the phase…

Quantum Gases · Physics 2017-03-21 Julian Léonard , Andrea Morales , Philip Zupancic , Tilman Esslinger , Tobias Donner

The presence of a dispersed phase substantially modifies small-scale turbulence. However, there has not been a comprehensive mechanistically-based understanding to predict turbulence modulation. Based on the energy flux balance, we propose…

Fluid Dynamics · Physics 2023-11-23 S. Balachandar , C. Peng , L. -P. Wang

In this paper, we study the kinetic Vicsek model, which serves as a starting point for describing the polarization phenomena observed in the experiments of fibroblasts moving on liquid crystalline substrates. The long-time behavior of the…

Analysis of PDEs · Mathematics 2025-04-18 Mengyang Gu , Siming He

We study the phase transitions in a one dimensional Bose-Einstein condensate on a ring whose atomic scattering length is modulated periodically along the ring. By using a modified Bogoliubov method to treat such a nonlinear lattice in the…

Quantum Gases · Physics 2015-06-05 Zheng-Wei Zhou , Shao-Liang Zhang , Xiang-Fa Zhou , Guang-Can Guo , Xingxiang Zhou , Han Pu

The interplay of quantum statistics and interactions in atomic Bose--Fermi mixtures leads to a phase diagram markedly different from pure fermionic or bosonic systems. However, investigating this phase diagram remains challenging when…