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Slow crack growth in a model of homogenous brittle elastic material is described as a thermal activation process where stress fluctuations allow to overcome a breaking threshold through a series of irreversible steps. We study the case of a…

Statistical Mechanics · Physics 2009-11-10 S. Santucci , L. Vanel , A. Guarino , R. Scorretti , S. Ciliberto

This work introduces a methodology for the statistical mechanical analysis of polymeric chains under tension controlled by optical or magnetic tweezers at thermal equilibrium with an embedding fluid medium. The response of single bonds…

Soft Condensed Matter · Physics 2020-02-26 Aaron C. Meyer , Yahya Öz , Norman Gundlach , Michael Karbach , Ping Lu , Gerhard Müller

We investigate the crystallization of a single, flexible homopolymer chain using transition path sampling (TPS). The chain consists of N identical spherical monomers evolved according to Langevin dynamics. While neighboring monomers are…

Soft Condensed Matter · Physics 2016-08-17 Christian Leitold , Christoph Dellago

The purpose of this paper is to investigate several analytical methods of solving first passage (FP) problem for the Rouse model, a simplest model of a polymer chain. We show that this problem has to be treated as a multi-dimensional…

Soft Condensed Matter · Physics 2015-12-09 Jing Cao , Jian Zhu , Zuowei Wang , Alexei E. Likhtman

We study at- and out-of-equilibrium dynamics of a single homopolymer chain at low temperature using molecular dynamics simulations. The main quantities of interest are the average root mean square displacement of the monomers below the…

Soft Condensed Matter · Physics 2009-11-07 Nikolay V. Dokholyan , Estelle Pitard , Sergey V. Buldyrev , H. Eugene Stanley

We study the conformation and dynamics of a single polymer chain that is pulled by a constant force applied at its one end with the other end free. Such a situation is relevant to the growing technology of manipulating individual…

Soft Condensed Matter · Physics 2015-06-04 Takahiro Sakaue , Takuya Saito , Hirofumi Wada

The aim of this paper is to compare results from lattice-Boltzmann and Brownian dynamics simulations of linear chain molecules. We have systematically varied the parameters that may affect the accuracy of the lattice-Boltzmann simulations,…

Computational Physics · Physics 2015-05-13 Anthony J. C. Ladd , Rahul Kekre , Jason E. Butler

The freely jointed chain is often applied to model the thermodynamics of single polymer chains, but the traditional formulation of the model lacks internal energy changes due to bond stretching. For this reason, the extensible freely…

Statistical Mechanics · Physics 2026-05-13 Michael R. Buche

We study dynamical properties of confined, self-propelled Brownian particles in an inhomogeneous activity profile. Using Brownian dynamics simulations, we calculate the probability to reach a fixed target and the mean first passage time to…

Soft Condensed Matter · Physics 2019-08-30 Hidde Vuijk , Abhinav Sharma , Debasish Mondal , Jens-Uwe Sommer , Holger Merlitz

An equal load sharing fiber bundle model for thermally activated breakdown is developed using transition state theory to describe the rate of elementary failures. The lifetime distribution, average, variance and their asymptotic limits for…

Statistical Mechanics · Physics 2025-08-20 Stefan Hiemer , Paolo Moretti , Stefano Zapperi , Michael Zaiser

We propose a simple friction model for isolated polymer chains on a solid substrate. The chains are pulled at constant velocity by one end, the other end can be trapped on the solid substrate on localised sites. We focus on the energy…

Soft Condensed Matter · Physics 2009-10-31 T. Charitat , J. F. Joanny

The phenomenon of Hilbert space fragmentation, whereby dynamical constraints fragment Hilbert space into many disconnected sectors, provides a simple mechanism by which thermalization can be arrested. However, little is known about how…

Quantum Physics · Physics 2026-04-06 Yiqiu Han , Xiao Chen , Ethan Lake

Polymer chains decorated with a fraction of monomers capable of forming reversible bonds form transient polymer networks that are important in soft and biological systems. If chains are flexible and the attractive monomers are all of the…

Soft Condensed Matter · Physics 2023-10-18 Lorenzo Rovigatti , Francesco Sciortino

We explore the dependence of the thermally activated barrier crossing rate on various model parameters for a dimer that undergoes a Brownian motion on a piecewise linear bistable potential employing the method of adiabatic elimination of…

Statistical Mechanics · Physics 2014-07-15 Mesfin Asfaw

We consider the generalization of the Kramers escape over a barrier problem to the case of a long chain molecule. It involves the motion of chain molecule of N segments across a region where the free energy per segment is higher, so that it…

Soft Condensed Matter · Physics 2009-10-31 K. L. Sebastian

The fracture and severing of polymer chains plays a critical role in the failure of fibrous materials and the regulated turnover of intracellular filaments. Using continuum wormlike chain models, we investigate the fracture of semiflexible…

Statistical Mechanics · Physics 2020-03-05 Alexander Lorenzo , Enrique M. De La Cruz , Elena F. Koslover

We analyze the crystallization and collapse transition of a simple model for flexible polymer chains on simple cubic and face-centered cubic lattices by means of sophisticated chain-growth methods. In contrast to bond-fluctuation polymer…

Soft Condensed Matter · Physics 2009-11-13 Thomas Vogel , Michael Bachmann , Wolfhard Janke

We consider dynamics of an isolated polymer chain with a chemically active end-bead on a 2D solid substrate containing immobile, randomly placed chemically active sites (traps). For a particular situation when the end-bead can be…

Soft Condensed Matter · Physics 2009-10-31 G. Oshanin , S. Nechaev , A. M. Cazabat , M. Moreau

We study the structural and dynamical behaviors of a diblock copolymer chain in a bath of active Brownian particles (ABPs) by extensive Brownian dynamics simulation in a two-dimensional model system. Specifically, the A block of chain is…

Soft Condensed Matter · Physics 2019-05-22 Yi-qi Xia , Zhuang-lin Shen , Wen-de Tian , Kang Chen , Yu-qiang Ma

Using molecular dynamics simulations we examine the dynamics of a family of model polymers with varying chain length and torsional potential barriers. We focus on features of the dynamics of polymers that are seen experimentally but absent…

Soft Condensed Matter · Physics 2019-06-11 Daniel Fragiadakis , C. Michael Roland