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The graph matching problem is a significant special case of the Quadratic Assignment Problem, with extensive applications in pattern recognition, computer vision, protein alignments and related fields. As the problem is NP-hard, relaxation…

最优化与控制 · 数学 2025-04-01 Rongxuan Li

A frequently faced task in experimental physics is to measure the probability distribution of some quantity. Often this quantity to be measured is smeared by a non-ideal detector response or by some physical process. The procedure of…

统计理论 · 数学 2014-04-11 Andras Laszlo

A model is presented that is applicable to a wide range of peak-shaped voltammetric signals. It may be used, via curve-fitting, to resolve severely overlapped peaks, irrespective of the degree(s) of reversibility of the electrode processes.…

材料科学 · 物理学 2026-01-28 Weiguang Huang , T. L. E. Henderson , A. M. Bond , K. B. Oldham

We propose a simple dynamic model of polymers under shear with an anisotropic mobility tensor. We calculate the shear viscosity, the rheo-dielectric response function, and the parallel relaxation modulus under shear flow deduced from our…

软凝聚态物质 · 物理学 2011-07-05 Takashi Uneyama , Kazushi Horio , Hiroshi Watanabe

We investigate the universality of entanglement kinetics in polymer melts. We compare predictions of a recently developed constitutive equation for disentanglement to molecular dynamics simulations of both united-atom polyethylene and…

软凝聚态物质 · 物理学 2024-07-09 Benjamin E. Dolata , Marco A Galvani Cunha , Thomas O'Connor , Austin Hopkins , Peter D. Olmsted

Determination of polymer molecular weight distribution (MWD) from rheological measurements is desirable due to the ease and low cost of rheometry compared to other methods such as gel permeation chromatography. However, relating MWD to…

软凝聚态物质 · 物理学 2025-06-19 Nihal Pushkar , Xin C. Yee , Jena McCollum , Brandon Runnels

We model the flow behaviour of dense melts of flexible and semiflexible ring polymers in the presence of walls using a hybrid multiscale approach. Specifically, we perform molecular dynamics simulations and apply the Irving-Kirkwood formula…

Correspondence problems are often modelled as quadratic optimization problems over permutations. Common scalable methods for approximating solutions of these NP-hard problems are the spectral relaxation for non-convex energies and the…

图形学 · 计算机科学 2017-05-18 Nadav Dym , Haggai Maron , Yaron Lipman

We present exact and analytically accurate results for the problem of a flexible polymer chain in shear flow. Under such a flow the polymer tumbles, and the probability distribution of the tumbling times $\tau$ of the polymer decays…

统计力学 · 物理学 2008-11-13 Dibyendu Das , Sanjib Sabhapandit

We present a new strategy for introducing population balances into full-chain constitutive models of living polymers with linear chain architectures. We provide equations to describe a range of stress relaxation processes covering both…

软凝聚态物质 · 物理学 2020-12-30 Joseph D. Peterson , Mike Cates

A novel static algorithm is proposed for numerical reparametrization of periodic planar curves. The method identifies a monitor function of the arclength variable with the true curvature of an open planar curve and considers a simple…

数值分析 · 数学 2022-03-21 Kazuki Koga

The width of the distribution of species in a polydisperse system is employed in a small-variable expansion, to obtain a well-controlled and compact scheme by which to calculate phase equilibria in multi-phase systems. General and universal…

统计力学 · 物理学 2009-10-31 R. M. L. Evans

Diffeomorphic matching (only one of several names for this technique) is a technique for non-rigid registration of curves and surfaces in which the curve or surface is embedded in the flow of a time-series of vector fields. One seeks the…

数值分析 · 数学 2009-11-13 C. J. Cotter

We study the quantum dynamics of a suddenly released beam of particles using a background independent (polymer) quantization scheme. We show that, in the first order of approximation, the low-energy polymer distribution converges to the…

量子物理 · 物理学 2015-06-22 A. Martín-Ruiz

We present a novel thermodynamically guided, low-noise, time-scale bridging, and pertinently efficient strategy for the dynamic simulation of microscopic models for complex fluids. The systematic coarse-graining method is exemplified for…

软凝聚态物质 · 物理学 2010-11-12 Patrick Ilg , Hans Christian Öttinger , Martin Kröger

We use an off-lattice microscopic model for solutions of equilibrium polymers (EP) in a lamellar shear flow generated by means of a self-consistent external field between parallel hard walls. The individual conformations of the chains are…

软凝聚态物质 · 物理学 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

This paper proposes an algorithm for computing regularized solutions to linear rational expectations models. The algorithm allows for regularization cross-sectionally as well as across frequencies. A variety of numerical examples illustrate…

计量经济学 · 经济学 2020-10-28 Majid M. Al-Sadoon

Conformation-dependent design of polymer sequences can be considered as a tool to control macromolecular self-assembly. We consider the monomer unit sequences created via the modification of polymers in a homogeneous melt in accordance with…

软凝聚态物质 · 物理学 2021-07-07 Elena N. Govorun , Ruslan M. Shupanov , Sophia A. Pavlenko , Alexei R. Khokhlov

An adaptive finite element method is presented for the elastic scattering of a time-harmonic plane wave by a periodic surface. First, the unbounded physical domain is truncated into a bounded computational domain by introducing the…

数值分析 · 数学 2016-05-30 Xue Jiang , Peijun Li , Junliang Lv , Weiying Zheng

We propose a time-adaptive predictor/multi-corrector method to solve hyperbolic partial differential equations, based on the generalized-$\alpha$ scheme that provides user-control on the numerical dissipation and second-order accuracy in…

数值分析 · 数学 2022-10-11 Nicolas A. Labanda , Pouria Behnoudfar , Victor M. Calo