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In this article we study a \emph{non-directed polymer model} on $\mathbb Z$, that is a one-dimensional simple random walk placed in a random environment. More precisely, the law of the random walk is modified by the exponential of the sum…

Probability · Mathematics 2022-10-13 Quentin Berger , Chien-Hao Huang , Niccolo Torri , Ran Wei

Entangled polymers are an important class of materials for their toughness, processability, and functionalizability. However, physically detailed modeling of highly entangled polymers can prove challenging, especially as one considers…

Soft Condensed Matter · Physics 2024-10-28 Vickie Chen , Brandon Wang , Joseph D. Peterson

Using canonical Monte Carlo simulations, we introduce a new numerical procedure for comparing the entropic exponents of polymers with different constraints and/or topologies. Setting up competitions between polymer segments which can…

Soft Condensed Matter · Physics 2007-11-28 Roya Zandi , Yacov Kantor , Mehran Kardar

We investigate the stretching mechanism of Finitely Extensible Nonlinear Elastic (FENE) model of polymers in a random turbulent flow. The turbulent model includes a dominant space-scale $\ell\sim N^{-1}$, a dominant time-scale $\tau$, and…

Probability · Mathematics 2026-05-18 Federico Butori , Yassine Tahraoui

The plastic flow of a polycrystal is analyzed assuming grains as fine that the rate limiting process is grain boundary sliding, and grains readily accommodate their shapes by slip to preserve spatial continuity. It is shown that thinking of…

Materials Science · Physics 2009-11-19 Miguel Lagos , César Retamal

According to excess-entropy scaling, dynamic properties of liquids like viscosity and diffusion coefficient are determined by the entropy. This link between dynamics and thermodynamics is increasingly studied and of interest also for…

Soft Condensed Matter · Physics 2024-08-13 Ian M. Douglass , Jeppe C. Dyre , Lorenzo Costigliola

Based on non-equilibrium molecular dynamics simulations of entangled polymer melts, a recent Letter [Phys. Rev. Lett. $\textbf{121}$, 047801 (2018), arXiv:1806.09509] claims that the rising extensional stress is quantitatively consistent…

Soft Condensed Matter · Physics 2019-02-13 Wen-Sheng Xu , Christopher N. Lam , Jan-Michael Y. Carrillo , Bobby G. Sumpter , Yangyang Wang

Two examples for the interplay between chaotic dynamics and stochastic forces within hydrodynamical systems are considered. The first case concerns the relaxation to equilibrium of a concentration field subject to both chaotic advection and…

Chaotic Dynamics · Physics 2007-05-23 Bruno Eckhardt , Erwan Hascoet , Wolfgang Braun

The nanoscale fluctuation dynamics of semi dilute high molecular weight polymer solutions of Polyethylenoxide (PEO) in D2O under non-equilibrium flow conditions were studied by the neutron spin-echo technique. The sample cell was in…

Fluid Dynamics · Physics 2011-06-16 Maikel C. Rheinstadter , Rainer Sattler , Wolfgang Haeussler , Christian Wagner

We study the interplay between entropy and topological constraints for a polymer chain in which sliding rings (slip-links) enforce pair contacts between monomers. These slip-links divide a closed ring polymer into a number of sub-loops…

Statistical Mechanics · Physics 2009-11-07 Ralf Metzler , Andreas Hanke , Paul G. Dommersnes , Yacov Kantor , Mehran Kardar

A central task in analyzing complex dynamics is to determine the loci of information storage and the communication topology of information flows within a system. Over the last decade and a half, diagnostics for the latter have come to be…

Statistical Mechanics · Physics 2016-06-20 Ryan G. James , Nix Barnett , James P. Crutchfield

The transport of deformable particles through porous media underlies a wealth of applications ranging from filtration to oil recovery to the transport and spreading of biological agents. Using direct numerical simulations, we analyze the…

Soft Condensed Matter · Physics 2020-06-09 Brato Chakrabarti , Charles Gaillard , David Saintillan

Nonmodal amplification of stochastic disturbances in elasticity-dominated channel flows of Oldroyd-B fluids is analyzed in this work. For streamwise-constant flows with high elasticity numbers $\mu$ and finite Weissenberg numbers $We$, we…

Fluid Dynamics · Physics 2011-11-29 Mihailo R. Jovanović , Satish Kumar

Conformational transitions of flexible molecules, especially those driven by hydrophobic effects, tend to be hindered by desolvation barriers. For such transitions, it is thus important to characterize and understand the interplay between…

Soft Condensed Matter · Physics 2021-03-16 Debdas Dhabal , Zhitong Jiang , Amish J. Patel

Computations of entropy in thermodynamics rely on discreteness of the spectra of the subsystems. We argue that, for cases with continuous spectra (typically, radiation), there is a useful definition of entropy flow based on discretizing the…

Quantum Physics · Physics 2025-06-05 Sergei Khlebnikov

We investigate a reversible polymerization process in which individual polymers aggregate and fragment at a rate proportional to their molecular weight. We find a nonequilibrium phase transition despite the fact that the dynamics are…

Statistical Mechanics · Physics 2008-06-24 E. Ben-Naim , P. L. Krapivsky

The dimensionality of turbulence in fluid layers determines their properties. We study electromagnetically driven flows in finite depth fluid layers and show that eddy viscosity, which appears as a result of three-dimensional motions, leads…

Fluid Dynamics · Physics 2010-12-27 M. Shats , D. Byrne , H. Xia

The relaxation of initially straight semiflexible polymers has been discussed mainly with respect to the longest relaxation time. The biologically relevant non-equilibrium dynamics on shorter times is comparatively poorly understood, partly…

Soft Condensed Matter · Physics 2009-02-27 B. Obermayer , W. Mobius , O. Hallatschek , E. Frey , K. Kroy

The question of characterization of the degree of non-equilibrium activity in active matter systems is studied in the context of a stochastic microswimmer model driven by a chemical cycle. The resulting dynamical properties and entropy…

Statistical Mechanics · Physics 2024-05-27 Michalis Chatzittofi , Jaime Agudo-Canalejo , Ramin Golestanian

When the local intrinsic stiffness of a polymer chain varies over a wide range, one can observe both a crossover from rigid-rod-like behavior to (almost) Gaussian random coils and a further crossover towards self-avoiding walks in good…

Soft Condensed Matter · Physics 2015-03-17 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder