Extreme-value statistics of work done in stretching a polymer in a gradient flow

被引：4
|
作者：
Vucelja, M. [1 ]
Turitsyn, K. S. [2 ]
Chertkov, M. [3 ,4 ,5 ]
机构：
[1] Rockefeller Univ, Ctr Studies Phys & Biol, New York, NY 10065 USA
[2] MIT, Dept Mech Engn, Cambridge, MA 02139 USA
[3] Los Alamos Natl Lab, Div Theory, Los Alamos, NM 87545 USA
[4] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
[5] New Mexico Consortium, Los Alamos, NM 87545 USA
来源：
PHYSICAL REVIEW E | 2015年 / 91卷 / 02期
关键词：
FREE-ENERGY DIFFERENCES; FLUCTUATION THEOREM; DYNAMICAL ENSEMBLES; STOCHASTIC DYNAMICS; STATES;
D O I：
10.1103/PhysRevE.91.022123
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We analyze the statistics of work generated by a gradient flow to stretch a nonlinear polymer. We obtain the large deviation function (LDF) of thework in the full range of appropriate parameters by combining analytical and numerical tools. The LDF shows two distinct asymptotes: "near tails"are linear in work and dominated by coiled polymer configurations, while "far tails"are quadratic in work and correspond to preferentially fully stretched polymers. We find the extreme value statistics of work for several singular elastic potentials, as well as the mean and the dispersion of work near the coil-stretch transition. The dispersion shows a maximum at the transition.
引用
收藏
页数：5
相关论文
共 50 条
  • [31] Extreme-value statistics for frost penetration depths in northeastern United States
    DeGaetano, AT
    Wilks, DS
    McKay, M
    JOURNAL OF GEOTECHNICAL AND GEOENVIRONMENTAL ENGINEERING, 1997, 123 (09) : 828 - 835
  • [32] Extreme-value statistics of hierarchically correlated variables deviation from Gumbel statistics and anomalous persistence
    Dean, DS
    Majumdar, SN
    PHYSICAL REVIEW E, 2001, 64 (04): : 5 - 461215
  • [33] Renormalization flow in extreme value statistics
    Bertin, Eric
    Gyoergyi, Geza
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2010,
  • [34] Extreme-value statistics of intensities in a cw-pumped random fiber laser
    Lima, Bismarck C.
    Pincheira, Pablo I. R.
    Raposo, Ernesto P.
    Menezes, Leonardo de S.
    de Araujo, Cid B.
    Gomes, Anderson S. L.
    Kashyap, Raman
    PHYSICAL REVIEW A, 2017, 96 (01)
  • [35] Freezing and extreme-value statistics in a random energy model with logarithmically correlated potential
    Fyodorov, Yan V.
    Bouchaud, Jean-Philippe
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (37)
  • [36] ON THE EXACT EVALUATION OF THE VARIANCES AND COVARIANCES OF ORDER STATISTICS IN SAMPLES FROM THE EXTREME-VALUE DISTRIBUTION
    LIEBLEIN, J
    ANNALS OF MATHEMATICAL STATISTICS, 1953, 24 (02): : 282 - 287
  • [37] LINEAR ESTIMATION OF PARAMETERS OF EXTREME-VALUE DISTRIBUTION BASED ON SUITABLY CHOSEN ORDER STATISTICS
    CHAN, LK
    MEAD, ER
    IEEE TRANSACTIONS ON RELIABILITY, 1971, R 20 (02) : 74 - &
  • [38] Extreme-Value Statistics Reveal Rare Failure-Critical Defects in Additive Manufacturing
    Boyce, Brad L.
    Salzbrenner, Bradley C.
    Rodelas, Jeffrey M.
    Swiler, Laura P.
    Madison, Jonathan D.
    Jared, Bradley H.
    Shen, Yu-Lin
    ADVANCED ENGINEERING MATERIALS, 2017, 19 (08)
  • [39] ON STATISTICAL INFORMATION OF EXTREME ORDER-STATISTICS, LOCAL EXTREME-VALUE ALTERNATIVES, AND POISSON POINT-PROCESSES
    JANSSEN, A
    MAROHN, F
    JOURNAL OF MULTIVARIATE ANALYSIS, 1994, 48 (01) : 1 - 30
  • [40] ANALYSIS OF PERFORATION CORROSION OF COLD-ROLLED AND GALVANIZED STEEL SHEETS BY EXTREME-VALUE STATISTICS
    SATOH, H
    TETSU TO HAGANE-JOURNAL OF THE IRON AND STEEL INSTITUTE OF JAPAN, 1986, 72 (05): : S456 - S456
12345