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The interaction between passive and active/driven particles has introduced a new way to control colloidal suspension properties from particle aggregation to crystallization. Here, we focus on the hydrodynamic interaction between a single…

Soft Condensed Matter · Physics 2024-02-07 Shih-Yuan Chen , Hector Lopez-Rios , Monica Olvera de la Cruz , Michelle M. Driscoll

We consider systems of many spatially distributed phase oscillators that interact with their neighbors. Each oscillator is allowed to have a different natural frequency, as well as a different response time to the signals it receives from…

Pattern Formation and Solitons · Physics 2015-05-27 Wai Shing Lee , Juan G. Restrepo , Edward Ott , Thomas M. Antonsen

In the current density functional theory of linear and nonlinear time-dependent phenomena, the treatment of exchange and correlation beyond the level of the adiabatic local density approximation is shown to lead to the appearance of…

Condensed Matter · Physics 2009-10-30 G. Vignale , C. A. Ullrich , S. Conti

In this paper we present a general framework in which one can rigorously study the effect of spatio-temporal noise on traveling waves, stationary patterns and oscillations that are invariant under the action of a finite-dimensional set of…

Dynamical Systems · Mathematics 2020-06-24 James MacLaurin

We study a specific type of SCM, called a Dynamic Structural Causal Model (DSCM), whose endogenous variables represent functions of time, which is possibly cyclic and allows for latent confounding. As a motivating use-case, we show that…

Statistics Theory · Mathematics 2024-07-23 Philip Boeken , Joris M. Mooij

Enhancement of the predictive power and robustness of nonlinear population dynamics models allows ecologists to make more reliable forecasts about species' long term survival. However, the limited availability of detailed ecological data,…

Pattern Formation and Solitons · Physics 2025-04-18 Indrajyoti Gaine , Malay Banerjee

A first principles approach to the nonlinear flow of dense suspensions is presented which captures shear thinning of colloidal fluids and dynamical yielding of colloidal glasses. The advection of density fluctuations plays a central role,…

Soft Condensed Matter · Physics 2009-11-07 Matthias Fuchs , Michael E. Cates

For a freely evolving granular fluid, the buildup of spatial correlations in density and flow field is described using fluctuating hydrodynamics. The theory for incompressible flows is extended to the general, compressible case, including…

Statistical Mechanics · Physics 2009-10-30 T. P. C. van Noije , M. H. Ernst , R. Brito

Colloidal gels constitute an important class of materials found in many contexts and with a wide range of applications. Yet as matter far from equilibrium, gels exhibit a variety of time-dependent behaviours, which can be perplexing, such…

Soft Condensed Matter · Physics 2021-09-22 C. Patrick Royall , Malcolm A. Faers , Sian L. Fussell , James E. Hallett

We numerically examine dynamical irreversible to reversible transitions and random organization for periodically driven gliding dislocation assemblies using the stroboscopic protocol developed to identify random organization in periodically…

Materials Science · Physics 2017-12-06 C. Zhou , C. J. Olson Reichhardt , C. Reichhardt , I. Beyerlein

Wave-like spatial statistics in walking-droplet quantum analogs are typically attributed to spatial or temporal nonlocal wave effects. We show instead that such behavior arises generically from the low-dimensional nonlinear dynamics of an…

Soft Condensed Matter · Physics 2026-03-10 Rahil N. Valani

Glass-forming materials are characterized by an intermittent motion at the microscopic scale. Particles spend most of their time rattling within the cages formed by their neighbors, and seldom jump to a different cage. In molecular glass…

Soft Condensed Matter · Physics 2014-12-03 Raffaele Pastore , Massimo Pica Ciamarra , Giuseppe Pesce , Antonio Sasso

We provide a detailed derivation of a recently developed first-principles approach to calculating averages in systems of interacting, spherical Brownian particles under time-dependent flow. Although we restrict ourselves to flows which are…

Soft Condensed Matter · Physics 2015-06-05 J. M. Brader , M. E. Cates , M. Fuchs

We develop and present a unified multi-scale model (involving three scales of spatial organisation) to study the dynamics of rigid aggregating particles suspended in a viscous fluid medium and subject to a steady poiseuille flow. At…

Soft Condensed Matter · Physics 2016-10-10 Sarthok Sircar , Anthony J. Roberts

Spatial cusps in initial wavefunctions can lead to non-analytic behavior in time. We suggest a method for calculating the short-time behavior in such situations. For these cases, the density does not match its Taylor-expansion in time, but…

Quantum Physics · Physics 2013-05-30 Zeng-hui Yang , Neepa T. Maitra , Kieron Burke

Time-dependent conformal maps are used to model a class of growth phenomena limited by coupled non-Laplacian transport processes, such as nonlinear diffusion, advection, and electro-migration. Both continuous and stochastic dynamics are…

Statistical Mechanics · Physics 2007-05-23 Martin Z. Bazant , Jaehyuk Choi , Benny Davidovitch

We investigate the response of a dense monodisperse quasi-two-dimensional (q2D) colloid suspension when a particle is dragged by a constant velocity optical trap. Consistent with microrheological studies of other geometries, the…

We study the formation of bands of colloidal particles driven by periodic external fields. Using Brownian dynamics, we determine the dependence of the band width on the strength of the particle interactions and on the intensity and…

Soft Condensed Matter · Physics 2016-02-17 A. S. Nunes , N. A. M. Araujo , M. M. Telo da Gama

We study numerically the influence of density and strain rate on the diffusion and mobility of a single tagged particle in a sheared colloidal suspension. We determine independently the time-dependent velocity autocorrelation functions and,…

Soft Condensed Matter · Physics 2011-07-01 Boris Lander , Udo Seifert , Thomas Speck

Nonequilibrium membrane pattern formation is studied using meshless membrane simulation. We consider that molecules bind to either surface of a bilayer membrane and move to the opposite leaflet by flip--flop. When binding does not modify…

Soft Condensed Matter · Physics 2025-01-14 Hiroshi Noguchi
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