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We consider the internal dynamics of the polymer molecule which is injected in the chaotic flow with strong mean shear component. The flow geometry corresponds to the recent experiments on the elastic turbulence (Groisman, Steinberg 2000).…

混沌动力学 · 物理学 2007-05-23 K. S. Turitsyn

The distribution of monomers along a linear polymer grafted on a hard wall is modelled by determining the probability distribution of occupied vertices of Dyck and ballot path models of adsorbing linear polymers. For example, the…

软凝聚态物质 · 物理学 2023-03-08 EJ Janse van Rensburg

We numerically investigate the spatial and temporal statistical properties of a dilute polymer solution in the elastic turbulence regime, i.e., in the chaotic flow state occurring at vanishing Reynolds and high Weissenberg numbers. We aim…

流体动力学 · 物理学 2021-09-09 Himani Garg , Enrico Calzavarini , Stefano Berti

When a rigid rough solid slides on a rigid rough surface, it experiences a random motion in the direction normal to the average contact plane. Here, through simulations of the separation at single-point contact between self-affine…

We investigate the work fluctuations in an overdamped non-equilibrium process that is stopped at a stochastic time. The latter is characterized by a first passage event that marks the completion of the non-equilibrium process. In…

统计力学 · 物理学 2024-03-20 Iago N Mamede , Prashant Singh , Arnab Pal , Carlos E. Fiore , Karel Proesmans

We study the upper tails for the energy of a randomly charged symmetric and transient random walk. We assume that only charges on the same site interact pairwise. We consider annealed estimates, that is when we average over both randomness,…

概率论 · 数学 2009-09-29 Amine Asselah

Single-molecule force-extension experiments have allowed quantitative measurements of the mechanical responses of biomolecules to applied forces explaining their roles in key biological functions. Electrophoretic stretching of charged…

软凝聚态物质 · 物理学 2024-02-21 Ananya Mondal , Greg Morrison

The fragmentation of small, brittle, flexible, inextensible fibers is investigated in a fully-developed, homogeneous, isotropic turbulent flow. Such small fibers spend most of their time fully stretched and their dynamics follows that of…

软凝聚态物质 · 物理学 2019-12-17 Sofía Allende , Christophe Henry , Jérémie Bec

The dynamics of elongated inertial particles in an extensional flow is studied numerically by performing simulations of freely jointed bead-rod chains. The coil-stretch transition and the tumbling instability are characterized as a function…

流体动力学 · 物理学 2018-08-29 Christophe Henry , Giorgio Krstulovic , Jérémie Bec

We report the complete statistical treatment of a system of particles interacting via Newtonian forces in continuous boundary-driven flow, far from equilibrium. By numerically time-stepping the force-balance equations of a model fluid we…

统计力学 · 物理学 2015-05-14 R. M. L. Evans , R. A. Simha , A. Baule , P. D. Olmsted

Strain gradient plasticity theories are being widely used for fracture assessment, as they provide a richer description of crack tip fields by incorporating the influence of geometrically necessary dislocations. Characterizing the behavior…

数值分析 · 数学 2017-11-29 Emilio Martínez-Pañeda , Sundar Natarajan , Stéphane Bordas

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…

概率论 · 数学 2022-10-13 Quentin Berger , Chien-Hao Huang , Niccolo Torri , Ran Wei

The non-equilibrium structural and dynamical properties of semiflexible polymers confined to two dimensions are investigated by molecular dynamics simulations. Three different scenarios are considered: The force-extension relation of…

软凝聚态物质 · 物理学 2013-01-08 A. Lamura , R. G. Winkler

The unfolding of a polymer below the $\theta$ point when pulled by an external force is studied both in d=2 on the lattice and in $d=3$ off lattice. A ground state analysis of finite length chains shows that the globule unfolds via multiple…

统计力学 · 物理学 2009-11-07 D. Marenduzzo , A. Maritan , A. Rosa , F. Seno

A new method to extract the density of partition function zeroes (a continuous function) from their distribution for finite lattices (a discrete data set) is presented. This allows direct determination of the order and strength of phase…

统计力学 · 物理学 2009-11-07 Wolfhard Janke , Ralph Kenna

We present large deviations estimates in the supremum norm for a system of independent random walks superposed with a birth-and-death dynamics evolving on the discrete torus with $N$ sites. The scaling limit considered is the so-called…

概率论 · 数学 2021-02-26 Tertuliano Franco , Luana A. Gurgel , Bernardo N. B. de Lima

We study a one dimensional gas of $N$ noninteracting diffusing particles in a harmonic trap, whose stiffness switches between two values $\mu_1$ and $\mu_2$ with constant rates $r_1$ and $r_2$ respectively. Despite the absence of direct…

统计力学 · 物理学 2024-03-13 Marco Biroli , Manas Kulkarni , Satya N. Majumdar , Gregory Schehr

Turbulent flow profiles are known to change between low- (LDR) and high-extent drag reduction (HDR) regimes. It is however not until recently that the LDR-HDR transition is recognized as a fundamental change between two DR mechanisms.…

流体动力学 · 物理学 2019-12-31 Lu Zhu , Li Xi

We study the large deviation probabilities of infinite weighted sums of independent random variables that have stretched exponential tails. This generalizes Kiesel and Stadtm\"uller (2000), who study the same objects under the assumption of…

概率论 · 数学 2020-01-01 Frank Aurzada

There are many materials whose dielectric properties are described by a stretched exponential, the so-called Kohlrausch-Williams-Watts (KWW) relaxation function. Its physical origin and statistical-mechanical foundation have been a matter…

材料科学 · 物理学 2009-11-13 Alexander V. Milovanov , Jens Juul Rasmussen , Kristoffer Rypdal