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Modeling of polymer chains has received a lot of attention in mathematics. In fact, probabilistic models that naturally arise in statistical mechanics have been widely studied by mathematicians for the very challenging and novel problems…

概率论 · 数学 2007-05-23 Francesco Caravenna

Our work introduces an approach for estimating the contribution of attachment mechanisms to the formation of growing networks. We present a generic model in which growth is driven by the continuous attachment of new nodes according to…

概率论 · 数学 2019-02-20 Jan Medina , Jorge Finke , Camilo Rocha

This study focuses on comparing the individual polymer chain dynamics in an entangled polymeric liquid under different shear and extension rates. Polymer chains under various shear rates and extension rates were simulated using a…

化学物理 · 物理学 2021-01-15 Behrouz Behdani , Tong Mou , Cody Spratt , Slava Butcovich , Ryan Gettler , Joontaek Park

We use nonequilibrium molecular dynamics simulations to verify recent tube-model predictions that associative polymer networks exhibit broad stretch fluctuations during elongational flow. Simulations further show that these fluctuating…

软凝聚态物质 · 物理学 2025-04-11 Songyue Liu , Thomas C. O'Connor

We map the conformation space of a simple lattice polymer chain to a network, where (i) the vertices of the network have a one-to-one correspondence to the conformations of the chain, and (ii) a link between two vertices indicates the…

软凝聚态物质 · 物理学 2009-10-31 A. Scala , L. A. N. Amaral , M. Barthelemy

Polymerization of dendritic actin networks underlies important mechanical processes in cell biology such as the protrusion of lamellipodia, propulsion of growth cones in dendrites of neurons, intracellular transport of organelles and…

生物物理 · 物理学 2021-03-17 Rohan Abeyaratne , Prashant K. Purohit

Fibrous networks such as collagen are common in biological systems. Recent theoretical and experimental efforts have shed light on the mechanics of single component networks. Most real biopolymer networks, however, are composites made of…

Complex diseases can be modeled as damage to intracellular networks that results in abnormal cell behaviors. Network-based dynamic models such as Boolean models have been employed to model a variety of biological systems including those…

生物物理 · 物理学 2016-12-30 Gang Yang , Colin Campbell , Réka Albert

Urban socioeconomic modeling has predominantly concentrated on extensive location and neighborhood-based features, relying on the localized population footprint. However, networks in urban systems are common, and many urban modeling methods…

机器学习 · 计算机科学 2025-07-08 Devashish Khulbe , Alexander Belyi , Stanislav Sobolevsky

We study the dynamics of a polymer, described as a variant of a Rouse chain, driven by an active terminal monomer (head). The local active force induces a transition from a globule-like to an elongated state, as revealed by the study of the…

统计力学 · 物理学 2020-01-28 Laura Natali , Lorenzo Caprini , Fabio Cecconi

The vibrational response of polymer networks under load provides a sensitive probe of molecular deformation and a route to non-destructive diagnostics. Here we show that machine-learned force fields reproduce these spectroscopic…

化学物理 · 物理学 2025-09-25 Julian Konrad , Janina Mittelhaus , David M. Wilkins , Bodo Fiedler , Robert Meißner

Low-connectivity polymer networks were recently found to behave auxetically when subjected to small tensions, that is, their Poisson's ratio $\nu$ becomes negative. In addition, for specific state points, numerical simulations revealed that…

软凝聚态物质 · 物理学 2024-01-30 Andrea Ninarello , José Ruiz-Franco , Emanuela Zaccarelli

Recent developments of microscopic mechanical experiments allow the manipulation of individual polymer molecules in two main ways: \textit{uniform} stretching by external forces and \textit{non-uniform} stretching by external fields. Many…

生物物理 · 物理学 2015-06-11 Fabio Manca , Stefano Giordano , Pier Luca Palla , Fabrizio Cleri , Luciano Colombo

In solid mechanics, Data-driven approaches are widely considered as the new paradigm that can overcome the classic problems of constitutive models such as limiting hypothesis, complexity, and high dependence on training data. However,…

软凝聚态物质 · 物理学 2020-11-23 Aref Ghaderi , Vahid Morovati , Roozbeh Dargazany

By using the blob theory and computer simulations, we investigate the properties of a linear polymer performing a stationary rotational motion around a long impenetrable rod. In particular, in the simulations the rotation is induced by a…

It has been established that the entangled polymer dynamics can be reasonably described by single chain models such as tube and slip-link models. Although the entanglement effect is a result of the hard-core interaction between chains,…

软凝聚态物质 · 物理学 2015-06-11 Takashi Uneyama , Yuichi Masubuchi

Polymer chains undergoing a continuous adsorption-desorption transition are studied through extensive computer simulations. A three-dimensional self-avoiding walk lattice model of a polymer chain grafted onto a surface has been treated for…

统计力学 · 物理学 2018-05-30 P. H. L. Martins , J. A. Plascak , M. Bachmann

Cells actively probe and respond to the stiffness of their surroundings. Since mechanosensory cells in connective tissue are surrounded by a disordered network of biopolymers, their in vivo mechanical environment can be extremely…

Disordered soft materials, such as fibrous networks in biological contexts exhibit a nonlinear elastic response. We study such nonlinear behavior with a minimal model for networks on lattice geometries with simple Hookian elements with…

软凝聚态物质 · 物理学 2015-03-13 M. Sheinman , C. P. Broedersz , F. C. MacKintosh

This work extends the classical dumbbell (two-bead) model of polymer chains to a more detailed multi-bead representation, where each polymer chain consists of $N$ beads connected by $N-1$ springs. We develop a thermodynamically consistent…

软凝聚态物质 · 物理学 2025-06-11 Xuelian Bao , Lidong Fang , Huaxiong Huang , Zilong Song , Shixin Xu
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