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Polydisperse linear polymer melts can be microscopically described by the tube model and fractal reptation dynamics, while on the macroscopic side the generalized Maxwell model is capable of correctly displaying most of the rheological…

Fluid Dynamics · Physics 2018-02-20 Christian Lang

Taylor dispersion, the gravity-induced enhancement of translational diffusion during the steady settling of a Brownian particle, has so far been analyzed only for torque-free bodies (H. Brenner, J. Colloid Interface Sci., 71(2): 189-208,…

Statistical Mechanics · Physics 2025-08-26 Zhongqiang Xiong , Ryohei Seto , Masao Doi

This paper compares theory and experiment for the kinetics of time-dependent sedimentation. We discuss non-interacting suspensions and colloids which may exhibit behavior similar to the one-dimensional motion of compressible gas. The…

Condensed Matter · Physics 2016-08-31 Sergei E. Esipov

A generalization of a distribution increases the flexibility particularly in studying of a phenomenon and its properties. Many generalizations of continuous univariate distributions are available in literature. In this study, an…

Applications · Statistics 2024-08-30 Brijesh P. Singh , Sandeep Singh , Utpal Dhar Das

A coarse-grained multi-blob description of polymer solutions is presented, based on soft, transferable effective interactions between bonded and non-bonded blobs. The number of blobs is chosen such that the blob density does not exceed…

Soft Condensed Matter · Physics 2009-11-13 Carlo Pierleoni , Barbara Capone , Jean-Pierre Hansen

Particle Flow Filters perform the measurement update by moving particles to a different location rather than modifying the particles' weight based on the likelihood. Their movement (flow) is dictated by a drift term, which continuously…

Computational Engineering, Finance, and Science · Computer Science 2025-07-04 Simone Servadio

Factor analysis for high-dimensional data is a canonical problem in statistics and has a wide range of applications. However, there is currently no factor model tailored to effectively analyze high-dimensional count responses with…

Methodology · Statistics 2024-08-21 Wei Liu , Qingzhi Zhong

Motivated by the importance of dispersive readout in quantum technology, we study a prototypical dispersive readout setup that is probed by a squeezed vacuum in a time-reversal-symmetric fashion. To this end, we develop a…

Quantum Physics · Physics 2025-12-03 Ming Li , JunYan Luo , Gloria Platero , Georg Engelhardt

We investigate both ensemble and time-averaged mean-squared displacements of particles in a polydisperse granular system in a homogeneous cooling state. The system contains an arbitrary number of species of different sizes and masses. The…

Soft Condensed Matter · Physics 2024-09-20 Anna S. Bodrova , Alexander I. Osinsky

Polymer mixtures fractionate between phases depending on their molecular weight. Consequently, by varying solvent conditions, a polydisperse polymer sample can be separated between phases so as to achieve a particular molecular weight…

Soft Condensed Matter · Physics 2026-04-10 J. Pedro de Souza , William M. Jacobs , Howard A. Stone

The aim of this paper is to introduce a new technique for calculation of observables, in particular multiplicity distributions, in various statistical ensembles at finite volume. The method is based on Fourier analysis of the grand…

Nuclear Theory · Physics 2008-12-18 M. Hauer , V. V. Begun , M. I. Gorenstein

The application of dynamic light scattering to soft matter systems has strongly profited from advanced approaches such as the so-called modulated 3D cross correlation technique (mod3D-DLS) that suppress contributions from multiple…

Soft Condensed Matter · Physics 2022-03-15 Antara Pal , Peter Holmqvist , Andrea Vaccaro , Peter Schurtenberger

We estimate the distribution of random parameters in a distributed parameter model with unbounded input and output for the transdermal transport of ethanol in humans. The model takes the form of a diffusion equation with the input being the…

Optimization and Control · Mathematics 2018-08-14 Melike Sirlanci , Susan E. Luczak , Catharine E. Fairbairn , Dahyeon Kang , Ruoxi Pan , Xin Yu , I. G. Rosen

This review summarizes recent progress in investigating polymer systems by using Differential dynamic microscopy (DDM), a rapidly emerging approach that transforms a commercial microscope by combining real-space information with the…

Soft Condensed Matter · Physics 2021-06-07 Roberto Cerbino , Fabio Giavazzi , Matthew E. Helgeson

The method of Taylor series expansion is used to develop a numerical solution to the reactor point kinetics equations. It is shown that taking a first order expansion of the neutron density and precursor concentrations at each time step…

Computational Physics · Physics 2013-04-03 David McMahon , Adam Pierson

Tracer-diffusion of small molecules through dense systems of chain polymers is studied within an athermal lattice model, where hard core interactions are taken into account by means of the site exclusion principle. An approximate mapping of…

Soft Condensed Matter · Physics 2009-11-07 O. Durr , T. Volz , W. Dieterich , A. Nitzan

We describe a simulation method for the accurate study of the equilibrium freezing properties of polydisperse fluids under the experimentally relevant condition of fixed polydispersity. The approach is based on the phase switch Monte Carlo…

Soft Condensed Matter · Physics 2009-11-13 Nigel B. Wilding

The long time dynamics of polymeric materials has been extensively studied in the past through various experimental techniques and computer simulations. While computer simulations typically treat generic, simplified models, experiments deal…

Soft Condensed Matter · Physics 2008-09-10 Vagelis A. Harmandaris , Kurt Kremer

We present a microfluidic method leading to accurate measurements of the mutual diffusion coefficient of a liquid binary mixture over the whole solute concentration range in a single experiment. This method fully exploits solvent…

Soft Condensed Matter · Physics 2017-09-21 Anne Bouchaudy , Charles Loussert , Jean-Baptiste Salmon

We propose a systematic expansion method which is applied to freely evolving granular fluids contained in sufficiently small systems. Restricting ourselves to small systems, we show that there exists a small parameter which characterizes a…

Statistical Mechanics · Physics 2007-05-23 J. Wakou