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The dynamics by iteration of a function on a compact metric space, sometimes called a cascade, can be extended to the dynamics of a closed relation on such a space. Here we apply this relation dynamics to study semiflows (and their relation…

Dynamical Systems · Mathematics 2023-07-11 Ethan Akin

We propose a new model for pattern formation in peeling of an adhesive tape based on the equation of motion for the displacement of deformed adhesives in the peel front. The spatiotemporal patterns obtained from the model are consistent…

Pattern Formation and Solitons · Physics 2023-12-05 Keisuke Taga , Yoshihiro Yamazaki

The superadiabatic dynamical density functional theory (superadiabatic-DDFT) is a promising new method for the study of colloidal systems out-of-equilibrium. Within this approach the viscous forces arising from interparticle interactions…

Soft Condensed Matter · Physics 2024-06-10 S. M. Tschopp , J. M. Brader

The motion of suspended colloidal particles generates fluid disturbances in the surrounding medium that create interparticle interactions. While such colloidal hydrodynamic interactions (HIs) have been extensively studied in viscous…

We investigated the effect of time delays on phase configurations in a set of two-dimensional coupled phase oscillators. Each oscillator is allowed to interact with its neighbors located within a finite radius, which serves as a control…

Pattern Formation and Solitons · Physics 2009-11-07 Seong-Ok Jeong , Tae-Wook Ko , Hie-Tae Moon

We apply the subordination principle to construct kinetic fractional statistical dynamics in the continuum in terms of solutions to Vlasov-type hierarchies. As a by-product we obtain the evolution of the density of particles in the…

Mathematical Physics · Physics 2016-10-19 Jose Luis da Silva , Anatoly N. Kochubei , Yuri Kondratiev

We reveal that the mechanical pulsation of locally synchronised particles is a generic route to propagate deformation waves. We consider a model of dense repulsive particles whose activity drives periodic change in size of each individual.…

Soft Condensed Matter · Physics 2023-12-12 Yiwei Zhang , Étienne Fodor

The analogue of temporal coherence resonance for spatial degrees of freedom is reported. Specifically, we show that spatiotemporal noise is able to optimally extract an intrinsic spatial scale in nonlinear media close to (but before) a…

Statistical Mechanics · Physics 2009-11-10 O. Carrillo , M. A. Santos , J. Garcia-Ojalvo , J. M. Sancho

The effective dynamics of a colloidal particle immersed in a complex medium is often described in terms of an overdamped linear Langevin equation for its velocity with a memory kernel which determines the effective (time-dependent) friction…

Statistical Mechanics · Physics 2022-10-05 U. Basu , V. Démery , A. Gambassi

The dynamical behavior of a harmonic chain in a spatially periodic potential (Frenkel-Kontorova model, discrete sine-Gordon equation) under the influence of an external force and a velocity proportional damping is investigated. We do this…

Condensed Matter · Physics 2009-10-31 Torsten Strunz , Franz-Josef Elmer

Spin coating is an out-of-equilibrium technique for producing polymer films and colloidal crystals quickly and reproducibly. In this review, we present an overview of theoretical and experimental studies of the spin coating of colloidal…

Soft Condensed Matter · Physics 2013-02-26 Moorthi Pichumani , Payam Bagheri , Kristin M. Poduska , Wenceslao Gonzalez-Vinas , Anand Yethiraj

Starting from a fine-scale dissipative particle dynamics (DPD) model of self-motile point particles, we derive meso-scale continuum equations by applying a spatial averaging version of the Irving--Kirkwood--Noll procedure. Since the method…

Adaptation and Self-Organizing Systems · Physics 2018-03-07 Alexander Panchenko , Denis F. Hinz , Eliot Fried

We determine the structure of charge-stabilized colloidal suspensions at low ionic strength over an extended range of particle volume fractions using a combination of light and small angle neutron scattering experiments. The variation of…

We propose a novel mechanism leading to spatiotemporal oscillations in extended systems that does not rely on local bulk instabilities. Instead, oscillations arise from the interaction of two subsystems of different spatial dimensionality.…

Other Condensed Matter · Physics 2007-05-23 A. Gomez-Marin , J. Garcia-Ojalvo , J. M. Sancho

We show how a recently introduced statistics [Patil et al, Phys. Rev. Lett. 81 5878 (2001)] provides a direct relationship between dimension and predictability in spatiotemporal chaotic systems. Regions of low dimension are identified as…

Chaotic Dynamics · Physics 2007-05-23 Gerson Francisco , Paulsamy Muruganandam

Materials adsorbed to the surface of a fluid -- for instance, crude oil, biogenic slicks, or industrial/medical surfactants -- will move in response to surface waves. Due to the difficulty of non-invasive measurement of the spatial…

Fluid Dynamics · Physics 2023-07-19 Stephen L Strickland , Michael Shearer , Karen E Daniels

This paper investigates the probabilistic properties that determine the existence of space-time transformations between diffusion processes. We prove that two diffusions are related by a monotone space-time transformation if and only if…

Probability · Mathematics 2015-09-16 Enrico Bibbona , Laura Sacerdote , Emiliano Torre

Interacting populations often create complicated spatiotemporal behavior, and understanding it is a basic problem in the dynamics of spatial systems. We study the two-species case by simulations of a host--parasitoid model. In the case of…

Populations and Evolution · Quantitative Biology 2009-01-16 Matti Peltomaki , Martin Rost , Mikko Alava

We develop a fully continuous model for colloidal suspensions with hydrodynamic interactions. The Navier Stokes Phase Field Crystal (NS-PFC) model combines ideas of dynamic density functional theory with particulate flow approaches and is…

Soft Condensed Matter · Physics 2015-04-27 Simon Praetorius , Axel Voigt

The central task in the study of self-organization is to explore the general mechanism of emergences. However, this is inhibited by the missing of a full knowledge of the microscopic dynamics of emergence. Here, in this study, the…

Soft Condensed Matter · Physics 2022-04-21 Yang Yang , Zhi Chao Zhang , Fei Qi , Tian Hui Zhang