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We study the first-passage time (FPT) problem for widespread recurrent processes in confined though large systems and present a comprehensive framework for characterizing the FPT distribution over many time scales. We find that the FPT…

Statistical Mechanics · Physics 2025-03-21 Talia Baravi , David A. Kessler , Eli Barkai

The frequency-dependent spectrum of current fluctuations through nano-scale channels is studied using analytical and computational techniques. Using a stochastic Nernst-Planck description and neglecting the interactions between the ions…

Statistical Mechanics · Physics 2018-04-04 Mira Zorkot , Ramin Golestanian

We present a mean-field dynamical theory for single semiflexible polymers which can precisely capture, without fitting parameters, recent fluorescence correlation spectroscopy results on single monomer kinetics of DNA strands in solution.…

Soft Condensed Matter · Physics 2009-10-19 Michael Hinczewski , Roland R. Netz

Using two dimensional Langevin dynamics simulations, we investigate the dynamics of polymer translocation into a fluidic channel with diameter $R$ through a nanopore under a driving force $F$. Due to the crowding effect induced by the…

Soft Condensed Matter · Physics 2010-08-30 Kaifu Luo , Ralf Metzler

The transport of individual entities through interconnected structures is a process of practical relevance both in biology and technology. Examples are given by diffusive dynamics of molecules in porous structures. In soft environments,…

Soft Condensed Matter · Physics 2026-02-09 Jakob Mihatsch , Andreas M. Menzel

We study a driven zero range process which models a closed system of attractive particles that hop with site-dependent rates and whose steady state shows a condensation transition with increasing density. We characterise the dynamical…

Statistical Mechanics · Physics 2009-11-10 Kavita Jain , Mustansir Barma

Motivated by a question about the sensitivity of knots' diffusive motion to the actual sequence of nucleotides placed on a given DNA, here we study a simple model of a sequence-reading diffusion on a stretched chain with a frozen sequence…

Statistical Mechanics · Physics 2025-01-17 Silvio Kalaj , Enzo Marinari , Gleb Oshanin , Luca Peliti

The first passage time (FPT) distribution for random walk in complex networks is calculated through an asymptotic analysis. For network with size $N$ and short relaxation time $\tau\ll N$, the computed mean first passage time (MFPT), which…

Statistical Mechanics · Physics 2013-01-29 Hon Wai Lau , Kwok Yip Szeto

Recent experiments showed that the last, single channel conductance step in monatomic gold contacts exhibits significant fluctuations as a function of stretching. From simulations of a stretched gold nanowire linked to deformable tips, we…

Materials Science · Physics 2009-11-10 F. Picaud , V. Pouthier , C. Girardet , E. Tosatti

Non-equilibrium fluctuations of various stochastic variables, such as work and entropy production, have been widely discussed recently in the context of large deviations, cumulants and fluctuation relations. Typically, one looks at the…

Statistical Mechanics · Physics 2016-08-03 Keiji Saito , Abhishek Dhar

We study the dynamics of the passage of a polymer through a membrane pore (translocation), focusing on the scaling properties with the number of monomers $N$. The natural coordinate for translocation is the number of monomers on one side of…

Soft Condensed Matter · Physics 2009-11-07 Jeffrey Chuang , Yacov Kantor , Mehran Kardar

We characterize fluctuations in atom number and spin populations in F=1 sodium spinor condensates. We find that the fluctuations enable a quantitative measure of energy dissipation in the condensate. The time evolution of the population…

Other Condensed Matter · Physics 2015-05-13 Yingmei Liu , Eduardo Gomez , Stephen E. Maxwell , Lincoln D. Turner , Eite Tiesinga , Paul D. Lett

Genetic information is stored in a linear sequence of base-pairs; however, thermal fluctuations and complex DNA conformations such as folds and loops make it challenging to order genomic material for in vitro analysis. In this work, we…

The two strands of a DNA molecule with a repetitive sequence can pair into many different basepairing patterns. For perfectly periodic sequences, early bulk experiments of Poerschke indicate the existence of a sliding process, permitting…

Biomolecules · Quantitative Biology 2007-05-23 Richard A. Neher , Ulrich Gerland

We use a statistical mechanical model to study nonthermal denaturation of DNA in the presence of protein-mediated loops. We find that looping proteins which randomly link DNA bases located at a distance along the chain could cause a…

Soft Condensed Matter · Physics 2009-12-22 K. G. Petrosyan , Chin-Kun Hu

A statistical model of homopolymer DNA, coupling internal base pair states (unbroken or broken) and external thermal chain fluctuations, is exactly solved using transfer kernel techniques. The dependence on temperature and DNA length of the…

Soft Condensed Matter · Physics 2007-08-29 J. Palmeri , M. Manghi , N. Destainville

Tethered particle motion is an experimental technique to monitor conformational changes in single molecules of DNA in real time, by observing the position fluctuations of a micrometer-size particle attached to the DNA. This article reviews…

Quantitative Methods · Quantitative Biology 2007-10-05 Philip C Nelson

We study the translocation of a semiflexible polymer through extended pores with patterned stickiness, using Langevin dynamics simulations. We find that the consequence of pore patterning on the translocation time dynamics is dramatic and…

Soft Condensed Matter · Physics 2018-05-02 Rajneesh Kumar , Abhishek Chaudhuri , Rajeev Kapri

Overstretching of B-DNA is currently understood as force-induced melting. Depending on the geometry of the stretching experiment, the force threshold for the overstretching transition is around 65 or 110 pN. Although the mechanisms behind…

Biological Physics · Physics 2019-03-06 Nikos Theodorakopoulos

We study the kinetics of protein folding via statistical energy landscape theory. We concentrate on the local-connectivity case, where the configurational changes can only occur among neighboring states, with the folding progress described…

Soft Condensed Matter · Physics 2009-11-07 Chi-Lun Lee , George Stell , Jin Wang
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