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The dynamics of ring polymer melts are studied via molecular dynamics simulations of the Kremer-Grest bead-spring model. Rouse mode analysis is performed in comparison with linear polymers by changing the chain length. Rouse-like behavior…

Soft Condensed Matter · Physics 2021-09-23 Shota Goto , Kang Kim , Nobuyuki Matubayasi

We analyze the stress tensor and the gyration tensor of an unentangled polymer melt under flow by using a Rouse-type single chain model. We employ the bead-spring type single chain model, in which beads interact each other via nonlinear…

Soft Condensed Matter · Physics 2025-06-30 Takashi Uneyama

In this paper, we present the detailed calculation of the persistence exponent $\theta$ for a nearly-Markovian Gaussian process $X(t)$, a problem initially introduced in [Phys. Rev. Lett. 77, 1420 (1996)], describing the probability that…

Statistical Mechanics · Physics 2009-10-31 Clement Sire , Satya N. Majumdar , Andreas Rudinger

We investigate mutual local chain order in systems of fully flexible polymer melts in a simple generic bead-spring model. The excluded-volume interaction together with the connectivity leads to local ordering effects which are independent…

Soft Condensed Matter · Physics 2015-06-25 Roland Faller , Mathias Puetz , Florian Mueller-Plathe

We study persistence in one-dimensional ferromagnetic and anti-ferromagnetic nearest-neighbor Ising models with parallel dynamics. The probability P(t) that a given spin has not flipped up to time t, when the system evolves from an initial…

Statistical Mechanics · Physics 2009-11-07 G. I. Menon , P. Ray , P. Shukla

We calculate the survival probability P_S(t) up to time t of a tracer particle moving along a deterministic trajectory in a continuous d-dimensional space in the presence of diffusing but mutually noninteracting traps. In particular, for a…

Statistical Mechanics · Physics 2009-11-10 Satya N. Majumdar , Alan J. Bray

We study the first passage time properties of an integrated Brownian curve both in homogeneous and disordered environments. In a disordered medium we relate the scaling properties of this center of mass persistence of a random walker to the…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. Rieger , F. Igloi

The stretching of a polymer chain by a large scale chaotic flow is considered. The steady state which emerges as a balance of the turbulent stretching and anharmonic resistance of the chain is quantitatively described, i.e. the dependency…

chao-dyn · Physics 2009-10-31 Michael Chertkov

We study the probability, $P_S(t)$, of a cluster to remain intact in one-dimensional cluster-cluster aggregation when the cluster diffusion coefficient scales with size as $D(s) \sim s^\gamma$. $P_S(t)$ exhibits a stretched exponential…

Statistical Mechanics · Physics 2009-11-07 E. K. O. Hellen , P. E. Salmi , M. J. Alava

A study of persistence dynamics is made for the first time in a quantum system by considering the dynamics of a quantum random walk. For a discrete walk on a line starting at $x=0$ at time $t=0$, the persistence probability $P(x,t)$ that a…

Statistical Mechanics · Physics 2009-08-10 Sanchari Goswami , Parongama Sen

We show the presence of both a minimum and clear oscillations in the frequency dependence of the translocation time of a polymer described as a unidimensional Rouse chain driven by a spatially localized oscillating linear potential. The…

Soft Condensed Matter · Physics 2010-09-16 Alessandro Fiasconaro , Juan José Mazo , Fernando Falo

We show possibility of the Plane Couette (PC) flow instability for Reynolds number Re>Reth=140. This new result of the linear hydrodynamic stability theory is obtained on the base of refusal from the traditionally used assumption on…

Fluid Dynamics · Physics 2016-07-20 Sergey G. Chefranov , Alexander G. Chefranov

The recently proposed fluctuation relation in unfolding forces [Phys. Rev. E ${\bf 84}$, $060101$(R) $(2011)$] is re-examined taking into account the explicit time dependence of the force distribution. The stretching of a tethered Rouse…

Statistical Mechanics · Physics 2014-05-06 Anoop Varghese , Satyavani Vemparala , R. Rajesh

Linear viscoelastic properties for a dilute polymer solution are predicted by modeling the solution as a suspension of non-interacting bead-spring chains. The present model, unlike the Rouse model, can describe the solution's rheological…

Soft Condensed Matter · Physics 2020-07-03 J Ravi Prakash

We consider a polymer of length $N$ translocating through a narrow pore in the absence of external fields. Characterization of its purportedly anomalous dynamics has so far remained incomplete. We show that the polymer dynamics is anomalous…

Soft Condensed Matter · Physics 2007-10-08 Debabrata Panja , Gerard T. Barkema , Robin C. Ball

Self-consistent field approach is used to model a single end-tethered polymer chain on a substrate subject to various forces in three dimensions. Starting from a continuous Gaussian chain model, the following perturbations are considered:…

A theoretical model is developed for predicting dynamic polymer depletion effects under the influence of fluid flow. The results are established by combining the two-fluid model and the self-consistent field theory. We consider a uniform…

Soft Condensed Matter · Physics 2012-08-02 Takashi Taniguchi , Yuichiro Arai , Remco Tuinier , Tai-Hsi Fan

We study the late time exponential decay of the survival probability $S_\pm(t,a|x_0)\sim e^{-\theta(a)t}$, of a one-dimensional run and tumble particle starting from $x_0<a$ with an initial orientation $\sigma(0)=\pm 1$, under a confining…

Statistical Mechanics · Physics 2025-03-13 Sujit Kumar Nath , Sanjib Sabhapandit

The growing importance of microfluidic and nanofluidic devices to the study of biological processes has highlighted the need to better understand how confinement affects the behavior of polymers in flow. In this paper we explore one aspect…

Soft Condensed Matter · Physics 2015-06-05 Pinaki Bhattacharyya , Binny J. Cherayil

We study properties of dilute polymer solutions which are known to depend strongly on polymer elongation. The probability density function (PDF) of polymer end-to-end extensions $R$ in turbulent flows is examined. We demonstrate that if the…

chao-dyn · Physics 2009-10-31 E. Balkovsky , A. Fouxon , V. Lebedev