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We identify a new type of pattern formation in spatially distributed active systems. We simulate one-dimensional two-component systems with predator-prey local interaction and pursuit-evasion taxis between the components. In a sufficiently…

Pattern Formation and Solitons · Physics 2013-05-29 V. N. Biktashev , M. A. Tsyganov

We study the shapes of elastic membranes under the simultaneous exertion of tensile and compressive forces when the translational symmetry along the tension direction is broken. We predict a multitude of novel morphological phases in…

Soft Condensed Matter · Physics 2015-05-13 Benny Davidovitch

Determinantal point processes are models for regular spatial point patterns, with appealing probabilistic properties. We present their spatio-temporal counterparts and give examples of these models, based on spatio-temporal covariance…

Statistics Theory · Mathematics 2023-01-09 Nafiseh Vafaei , Mohammad Ghorbani , Masoud Ganji , Mari Myllymäki

We discuss the stochastic thermodynamics of systems that are described by a time-dependent density field, for example simple liquids and colloidal suspensions. For a time-dependent change of external parameters, we show that the Jarzynski…

Statistical Mechanics · Physics 2014-03-18 T. Leonard , B. Lander , U. Seifert , T. Speck

Front dynamics modeled by a reaction-diffusion equation are studied under the influence of spatio-temporal structured noises. An effective deterministic model is analytical derived where the noise parameters, intensity, correlation time and…

Statistical Mechanics · Physics 2009-11-07 Miguel A. Santos , J. M. Sancho

We present the theoretical analysis of the steady state currents and density distributions of particles moving with Langevin dynamics, under the effects of an external potential displaced at constant rate. The Dynamic Density Functional…

Soft Condensed Matter · Physics 2009-11-10 F. Penna , P. Tarazona

It is proposed that the spatial (and temporal) patterns spontaneously appearing in dissipative systems maximize the energy flow through the pattern forming interface. In other words - the patterns maximize the entropy growth rate in an…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kestutis Staliunas

We investigate the dynamics of colloids at a fluid interface driven by attractive capillary interactions. At submillimeter length scales, the capillary attraction is formally analogous to two-dimensional gravity. In particular it is a…

Soft Condensed Matter · Physics 2010-07-27 Alvaro Dominguez , Martin Oettel , S. Dietrich

Non-interferometric experiments have been successfully employed to constrain models of spontaneous wave function collapse, which predict a violation of the quantum superposition principle for large systems. These experiments are grounded on…

Quantum Physics · Physics 2023-06-22 Sandro Donadi , Luca Ferialdi , Angelo Bassi

Complex systems span multiple spatial and temporal scales, making their dynamics challenging to understand and predict. This challenge is especially daunting when one wants to study localized and/or rare events. Advances in dynamical…

Atmospheric and Oceanic Physics · Physics 2025-09-22 Chenyu Dong , Gabriele Messori , Davide Faranda , Adriano Gualandi , Valerio Lucarini , Gianmarco Mengaldo

We describe a novel method for modeling non-stationary multivariate time series, with time-varying conditional dependencies represented through dynamic networks. Our proposed approach combines traditional multi-scale modeling and network…

Methodology · Statistics 2017-12-25 Xinyu Kang , Apratim Ganguly , Eric D. Kolaczyk

A mass ejection model in a time-dependent random environment with both temporal and spatial correlations is introduced. When the environment has a finite correlation length, individual particle trajectories are found to diffuse at large…

Chaotic Dynamics · Physics 2012-03-28 Giorgio Krstulovic , Rehab Bitane , Jeremie Bec

We analyze data from confocal microscopy experiments of a colloidal suspension to validate predictions of rapid sporadic events responsible for structural relaxation in a glassy sample. The trajectories of several thousand colloidal…

Soft Condensed Matter · Physics 2011-12-08 J. Ariel Rodriguez Fris , Gustavo A. Appignanesi , Eric R. Weeks

Dynamical polydispersity in single-particle properties, for example a fluctuating particle size, shape, charge density, etc., is intrinsic to responsive colloids (RCs), such as biomacromolecules or microgels, but is typically not resolved…

Soft Condensed Matter · Physics 2021-05-26 Upayan Baul , Joachim Dzubiella

This paper explores a mathematical technique for deriving dynamical invariants (i.e. constants of motion) in time-dependent gravitational potentials. The method relies on the construction of a canonical transformation that removes the…

Astrophysics of Galaxies · Physics 2015-06-16 Jorge Peñarrubia

Dense particle suspension under shear may lose its uniform state to large local density and stress fluctuations, which challenge the mean-field description of the system. Here, we explore the novel dynamics of a non-Brownian suspension…

Soft Condensed Matter · Physics 2024-04-15 Li-Xin Shi , Meng-Fei Hu , Song-Chuan Zhao

In oscillatory reaction-diffusion systems, time-delay feedback can lead to the instability of uniform oscillations with respect to formation of standing waves. Here, we investigate how the presence of additive, Gaussian white noise can…

Statistical Mechanics · Physics 2016-08-17 Michael Stich , Amit K Chattopadhyay

We study numerically the hydrodynamics of dip coating from a suspension and report a mechanism for colloidal assembly and pattern formation on smooth and uniform substrates. Below a critical withdrawal speed of the substrate, capillary…

Fluid Dynamics · Physics 2016-04-27 Carlos E. Colosqui , Jeffrey F. Morris , Howard A. Stone

We consider a non-linear system modelling the dynamics of a linearly elastic body immersed in an incompressible viscous fluid, without damping on the elastic part. We prove local existence of strong solutions and global existence and…

Analysis of PDEs · Mathematics 2025-08-20 Karoline Disser , Michelle Luckas

Colloidal mixtures represent a versatile model system to study transport in complex environments. They allow for a systematic variation of the control parameters, namely size ratio, total volume fraction and composition. We study the…

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