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We consider the problem of sufficient dimension reduction (SDR) for multi-index models. The estimators of the central mean subspace in prior works either have slow (non-parametric) convergence rates, or rely on stringent distributional…

机器学习 · 统计学 2024-09-16 Gan Yuan , Mingyue Xu , Samory Kpotufe , Daniel Hsu

Long DNA molecules can be mapped by cutting them with restriction enzymes inside a narrow channel. Once cut, the individual fragments thus produced move away from each other due to diffusion and entropic effects. We investigate how long it…

软凝聚态物质 · 物理学 2025-06-11 Hanyang. Wang , Gary W Slater

We determine the second, third, and fourth virial coefficients appearing in the density expansion of the osmotic pressure of a monodisperse polymer solution in good-solvent conditions. Using the expected large-concentration behavior, we…

统计力学 · 物理学 2007-05-23 Sergio Caracciolo , Bortolo Matteo Mognetti , Andrea Pelissetto

Motivated by renewed interest in the physics of branched polymers, we present here a complete characterization of the connectivity and spatial properties of $2$ and $3$-dimensional single-chain conformations of randomly branching polymers…

软凝聚态物质 · 物理学 2020-03-23 Irene Adroher-Benítez , Angelo Rosa

We perform equilibrium computer simulations of a two-dimensional pinned flexible polymer exposed to a quenched disorder potential consisting of hard disks. We are especially interested in the high-density regime of the disorder, where…

软凝聚态物质 · 物理学 2012-05-21 Sebastian Schöbl , Johannes Zierenberg , Wolfhard Janke

Smoothed Dissipative Particle Dynamics (SDPD) is a mesoscopic method which allows to select the level of resolution at which a fluid is simulated. In this work, we study the consistency of the resulting thermodynamic properties as a…

统计力学 · 物理学 2016-10-19 G. Faure , J. Roussel , J. -B. Maillet , G. Stoltz

We study a single flexible chain molecule grafted to a membrane which has pores of size slightly larger than the monomer size. On both sides of the membrane there is the same solvent. When this solvent is good, i.e. when the polymer is…

软凝聚态物质 · 物理学 2015-06-25 Hsiao-Ping Hsu , Peter Grassberger

We consider a coarse-grained (CG) model with pairwise interactions, suitable to describe low-density solutions of star-branched polymers of functionality $f$. Each macromolecule is represented by a CG molecule with $(f+1)$ interaction…

软凝聚态物质 · 物理学 2017-08-02 Roberto Menichetti , Andrea Pelissetto , Ferdinando Randisi

Taylor dispersion analysis is an increasingly popular characterization method that measures the diffusion coefficient, and hence the hydrodynamic radius, of (bio)polymers, nanoparticles or even small molecules. In this work, we describe an…

软凝聚态物质 · 物理学 2014-08-27 Luca Cipelletti , Jean-Philippe Biron , Michel Martin , Hervé Cottet

We study the permeability and selectivity (`permselectivity') of model membranes made of polydisperse polymer networks for molecular penetrant transport, using coarse-grained, implicit-solvent computer simulations. The permeability…

软凝聚态物质 · 物理学 2020-09-30 Won Kyu Kim , Richard Chudoba , Sebastian Milster , Rafael Roa , Matej Kanduc , Joachim Dzubiella

In this paper, we investigate a stochastic model describing the time evolution of a polymerization process. A polymer is a macro-molecule resulting from the aggregation of several elementary sub-units called monomers. Polymers can grow by…

概率论 · 数学 2018-08-24 Philippe Robert , Wen Sun

An enhanced geometric algorithm for automated pore-by-pore contact angle measurement from micro-CT images, is presented that achieves superior accuracy compared to existing methods through robust fluid-fluid and solid-fluid interface…

计算工程、金融与科学 · 计算机科学 2025-07-03 Faisal Aljaberi , Hadi Belhaj , Sajjad Foroughi , Mohammed Al-Kobaisi , Martin Blunt

Extracting quantitative information about highly scattering surfaces from an imaging system is challenging because the phase of the scattered light undergoes multiple folds upon propagation, resulting in complex speckle patterns. One…

When investigating the sizes of galaxies it is standard practice to use the half-light radius, $r_{50}$. Here we explore the effects of the size definition on the distribution of galaxies in the size -- stellar mass plane. Specifically, we…

星系天体物理 · 物理学 2019-02-20 Tim B. Miller , Pieter van Dokkum , Lamiya Mowla , Arjen van der Wel

A pore-scale model is introduced for two-phase flow in dense packings of polydisperse spheres. The model is developed as a component of a more general hydromechanical coupling framework based on the discrete element method, which will be…

软凝聚态物质 · 物理学 2016-01-06 Chao Yuan , Bruno Chareyre , Félix Darve

I consider a one dimensional system of particles which interact through a hard core of diameter $\si$ and can connect to each other if they are closer than a distance $d$. The mean cluster size increases as a function of the density $\rho$…

统计力学 · 物理学 2009-10-28 Alon Drory

We present a unified scaling theory for the structural behavior of polymers embedded in a disordered energy substrate. An optimal polymer configuration is defined as the polymer configuration that minimizes the sum of interacting energies…

无序系统与神经网络 · 物理学 2009-09-22 Roni Parshani , Lidia A. Braunstein , Shlomo Havlin

We analyze diffusion of small particles in a solid polymeric medium taking into account a short range particle-polymer interaction. The system is modeled by a particle diffusion on a ternary lattice where the sites occupied by polymer…

统计力学 · 物理学 2015-06-11 Federico Camboni , Andreas Koher , Igor M. Sokolov

The structural features of polystyrene brushes grafted on spherical silica nanoparticles immersed in polystyrene are investigated by means of a Monte Carlo methodology based on polymer mean field theory. The nanoparticle radii (either 8 nm…

软凝聚态物质 · 物理学 2014-01-17 Georgios G. Vogiatzis , Doros N. Theodorou

The present research is dedicated to provide deeper understanding of the impact of complex architecture of branched polymers on their behaviour in solvents. The folding dynamics of macromolecules and hydrodynamics of polymer fluids are…

软凝聚态物质 · 物理学 2020-12-09 K. Haydukivska , V. Blavatska , J. Paturej