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We study the spatial patterns formed by a system of interacting particles where the mobility of any individual is determined by the population crowding at two different spatial scales. In this way we model the behavior of some biological…

Statistical Mechanics · Physics 2015-07-08 Ricardo Martínez-García , Clara Murgui , Emilio Hernández-García , Cristóbal López

We study a nonlinear coupled parabolic system with non-local drift terms modeling at the continuum level the inter-species interaction within a ternary mixture that allows the evaporation of one of the species. In the absence of…

Analysis of PDEs · Mathematics 2023-11-17 Rainey Lyons , Emilio N. M. Cirillo , Adrian Muntean

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

In bubble-assisted Liquid HoleMultipliers(LHM), developed for noble-liquid radiation detectors, the stability of the bubble and the electro-mechanical properties of the liquid-to-gas interface play a dominant role in the detector…

Instrumentation and Detectors · Physics 2021-09-22 A. Tesi , E. Segre , S. Leardini , A. Breskin , S. Kapishnikov , L. Moleri , D. Vartsky , S. Bressler

Long-range interacting systems may exhibit ensemble inequivalence and can possibly attain equilibrium states under completely open conditions, for which energy, volume and number of particles simultaneously fluctuate. Here we consider a…

Statistical Mechanics · Physics 2023-01-18 Alessandro Campa , Lapo Casetti , Pierfrancesco Di Cintio , Ivan Latella , J. Miguel Rubi , Stefano Ruffo

The identification and tracking of stellar feedback-driven galaxy bubbles is an important topic in star formation and galactic structure research. However, current observational analysis of bubbles is limited in scope; information on bubble…

Astrophysics of Galaxies · Physics 2026-05-12 Aaron Angress , Michael M. Foley , Sarah M. R. Jeffreson , Alyssa Goodman , Lars Hernquist

Coarsening of two-phase systems is crucial for the stability of dense particle packings such as alloys, foams, emulsions or supersaturated solutions. Mean field theories predict an asymptotic scaling state with a broad particle size…

We consider the dynamics of monodisperse bubbly fluid confined by two plane solid walls and subjected to small-amplitude high-frequency transversal oscillations. The frequency these oscillations is assumed to be high in comparison with…

Fluid Dynamics · Physics 2015-05-13 Sergey Shklyaev , Arthur V. Straube

Nonlinear wave propagation plays a crucial role in the functioning of many physical and biophysical systems. In the propagation regime, disturbances due to the presence of local external perturbations, such as localised defects or boundary…

Pattern Formation and Solitons · Physics 2018-11-20 Juan F. Marín

We study one-dimensional spinless fermions with random interactions, but without any on-site disorder. We find that random interactions generically stabilize a many-body localized phase, in spite of the completely extended single-particle…

Statistical Mechanics · Physics 2017-02-01 Xiaopeng Li , Dong-Ling Deng , Yang-Le Wu , S. Das Sarma

We characterize the kinematics of bubbles in a sheared two-dimensional foam using statistical measures. We consider the distributions of both bubble velocities and displacements. The results are discussed in the context of the expected…

Soft Condensed Matter · Physics 2009-11-11 Yuhong Wang , Kapilanjan Krishan , Michael Dennin

We investigate existence of stationary solutions to an aggregation/diffusion system of PDEs, modelling a two species predator-prey interaction. In the model this interaction is described by non-local potentials that are mutually…

Analysis of PDEs · Mathematics 2019-04-11 S. Fagioli , Y. Jaafra

Experiments have not only revealed the remarkably long lifetime of nanobubbles, but also demonstrated the diffusive instability of bubbles above micrometers, thus a full-scale physical understanding on the stability of bubbles is in urgent…

Soft Condensed Matter · Physics 2021-12-28 Binghai Wen , Yongcai Pan , Lijuan Zhang , Shuo Wang , Limin Zhou , Chunlei Wang , Jun Hu

We show global well-posedness and exponential stability of equilibria for a general class of nonlinear dissipative bulk-interface systems. They correspond to thermodynamically consistent gradient structure models of bulk-interface…

Analysis of PDEs · Mathematics 2020-01-06 Karoline Disser

We study surface nanobubbles using molecular dynamics simulation of ternary (gas, liquid, solid) systems of Lennard-Jones fluids. They form for sufficiently low gas solubility in the liquid, i.e., for large relative gas concentration. For…

Fluid Dynamics · Physics 2012-11-19 J. H. Weijs , J. H. Snoeijer , D. Lohse

We consider three-dimensional clusters of identical bubbles packed around a central bubble and calculate their energy and optimal shape. We obtain the surface area and bubble pressures to improve on existing growth laws for…

Soft Condensed Matter · Physics 2016-08-31 Simon Cox , Francois Graner

We study the properties of mode-mode interactions for waves propagating in nonlinear disordered one-dimensional systems. We focus on i) the localization volume of a mode which defines the number of interacting partner modes, ii) the overlap…

Disordered Systems and Neural Networks · Physics 2015-05-19 D. O. Krimer , S. Flach

This paper proposes methods to investigate whether the bubble patterns observed in individual series are common to various series. We detect the non-linear dynamics using the recent mixed causal and noncausal models. Both a likelihood ratio…

Econometrics · Economics 2022-07-26 Gianluca Cubadda , Alain Hecq , Elisa Voisin

Stripe-like and bubble-like patterns spontaneously form in numerous physical, chemical, and biological systems when competing long-range and short-range interactions banish uniformity. Stripe-like and the related nematic morphology are also…

Strongly Correlated Electrons · Physics 2019-06-11 Dohyung Ro , N. Deng , J. D. Watson , M. J. Manfra , L. N Pfeiffer , K. W. West , G. A. Csáthy

The shape of the local bubble is modeled in the framework of the thin layer approximation. The asymmetric shape of the local bubble is simulated by introducing axial profiles for the density of the interstellar medium, such as exponential,…

Astrophysics of Galaxies · Physics 2020-02-10 Lorenzo Zaninetti