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The Fokker-Planck equation can be reformulated as a continuity equation, which naturally suggests using the associated velocity field in particle flow methods. While the resulting probability flow ODE offers appealing properties - such as…

Machine Learning · Statistics 2024-10-28 Ilja Klebanov

The non-equilibrium structural and dynamical properties of flexible polymers confined in a square microchannel and exposed to a Poiseuille flow are investigated by mesoscale simulations. The chain length and the flow strength are…

Soft Condensed Matter · Physics 2009-11-13 L. Cannavacciuolo , R. G. Winkler , G. Gompper

One of the most remarkable observations in dense active matter systems is the appearance of long-range velocity correlations without any explicit aligning interaction (of e.g.\ Vicsek type). Here we show that this kind of long range…

Soft Condensed Matter · Physics 2023-02-28 Leila Abbaspour , Rituparno Mandal , Peter Sollich , Stefan Klumpp

The rheology of dense granular flows is often seen as dependent on the nature of the energy landscape defining the modes of energy relaxation under shear. We investigate numerically the transition from soft to rigid particles, varying $S$,…

Soft Condensed Matter · Physics 2017-10-18 A. Favier de Coulomb , M. Bouzid , P. Claudin , E. Clement , B. Andreotti

The probability density functions (PDFs) for energy dissipation rates, created from time-series data of grid turbulence in a wind tunnel, are analyzed in a high precision by the theoretical formulae for PDFs within multifractal PDF theory…

Fluid Dynamics · Physics 2015-06-03 Toshihico Arimitsu , Naoko Arimitsu , Hideaki Mouri

The behavior of polymers in combined flow and electric fields underlies many manufacturing processes but remains poorly understood. To address this, we model charged polymers across scales. We extend the original Rouse model for a…

Soft Condensed Matter · Physics 2026-04-22 Zachary Wolfgram , Jeffrey G. Ethier , Matthew Grasinger

The relaxation dynamics of a model fluid of platelike colloidal particles is investigated by means of a phenomenological dynamic density functional theory. The model fluid approximates the particles within the Zwanzig model of restricted…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Rene van Roij

Direct Numerical Simulations established that the FENE-P model of viscoelastic flows exhibits the phenomenon of turbulent drag reduction which is caused in experiments by dilute polymeric additives. To gain analytic understanding of the…

Statistical Mechanics · Physics 2009-11-07 Roberto Benzi , Itamar Procaccia

Lattice Monte-Carlo simulations were performed to study the equilibrium ordering in a two-dimensional nematic system with quenched random disorder. When the disordering field, which competes against the aligning effect of the Frank…

Disordered Systems and Neural Networks · Physics 2009-10-31 Y. -K. Yu , P. L. Taylor , E. M. Terentjev

Minute amount of long chain flexible polymer dissolved in a turbulent flow can drastically change flow properties, such as reducing the drag and enhancing mixing. One fundamental riddle is how these polymer additives interact with the…

Fluid Dynamics · Physics 2021-02-02 Yi-Bao Zhang , Eberhard Bodenschatz , Haitao Xu , Heng-Dong Xi

We focus on the probability distribution function (pdf) $P(\Delta \gamma; \gamma)$ where $\Delta \gamma$ are the {\em measured} strain intervals between plastic events in an athermal strained amorphous solids, and $\gamma$ measures the…

Soft Condensed Matter · Physics 2016-01-20 H. G. E. Hentschel , Prabhat K. Jaiswal , Itamar Procaccia , Srikanth Sastry

The effects of randomly pinning particles in a model glass-forming fluid are studied, with a focus on the dynamically heterogeneous relaxation in the presence of pinning. We show how four-point dynamical correlations can be analysed in real…

Statistical Mechanics · Physics 2013-10-30 Robert L. Jack , Christopher J. Fullerton

We present a lattice formulation of a dynamic self-consistent field (DSCF) theory that is capable of resolving interfacial structure, dynamics and rheology in inhomogeneous, compressible melts and blends of unentangled homopolymer chains.…

Soft Condensed Matter · Physics 2009-11-10 Maja Mihajlovic , Tak Shing Lo , Yitzhak Shnidman

We study the statistically steady states of the forced dissipative three-dimensional homogeneous isotropic turbulence at scales larger than the forcing scale in real separation space. The probability density functions (PDFs) of longitudinal…

Fluid Dynamics · Physics 2023-08-30 Mengjie Ding , Jin-Han Xie , Jianchun Wang

We study random heteropolymer chain with gaussian distribution of kinds of monomers. The long-range correlations between kinds of monomers were introduce. The mean-field analysis of such heteropolymer indicates the existence of infinite…

Soft Condensed Matter · Physics 2009-09-25 E. Sh. Mamasakhlisov , V. F. Morozov , M. S. Shahinian

Random processes play a crucial role in scientific research, often characterized by distribution functions or probability density functions (PDFs). These PDFs serve as essential approximations of the actual and frequently undisclosed…

Methodology · Statistics 2023-06-06 Nico Schick

We present results on spatio-temporal correlations in the so-called mean drag version of the Durian bubble model in the limit of small, but finite, shearing rates, $\dot{\gamma}$. We study the rheology, diffusion, and spatial correlations…

Soft Condensed Matter · Physics 2015-08-05 Arka Prabha Roy , Kamran Karimi , Craig E. Maloney

We address the phenomenon of drag reduction by dilute polymeric additive to turbulent flows, using Direct Numerical Simulations (DNS) of the FENE-P model of viscoelastic flows. It had been amply demonstrated that these model equations…

Chaotic Dynamics · Physics 2007-05-23 Elisabetta De Angelis , Carlo M. Casciola , Victor S. L'vov , Renzo Piva , Itamar Procaccia

Synthetic copolymers and biopolymers, such as polypeptides and double-stranded DNA, often exhibit strong variations in bending stiffness along their contour, which can significantly impact conformational behavior at larger scales. To…

Soft Condensed Matter · Physics 2025-11-04 Yannick Witzky , Friederike Schmid , Arash Nikoubashman

Budgets of turbulent kinetic energy (TKE) and turbulent potential energy (TPE) at different scales $\ell$ in sheared, stably stratified turbulence are analyzed using a filtering approach. Competing effects in the flow are considered, along…