Work distribution functions in polymer stretching experiments.

نویسنده

  • Abhishek Dhar
چکیده

We compute the distribution of the work done in stretching a Gaussian polymer, made of N monomers, at a finite rate. For a one-dimensional polymer undergoing Rouse dynamics, the work distribution is a Gaussian and we explicitly compute the mean and width. The two cases where the polymer is stretched, either by constraining its end or by constraining the force on it, are examined. We discuss connections to Jarzynski's equality and the fluctuation theorems.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Theory and Monte Carlo simulations for the stretching of flexible and semiflexible single polymer chains under external fields.

Recent developments of microscopic mechanical experiments allow the manipulation of individual polymer molecules in two main ways: uniform stretching by external forces and non-uniform stretching by external fields. Many results can be thereby obtained for specific kinds of polymers and specific geometries. In this work, we describe the non-uniform stretching of a single, non-branched polymer m...

متن کامل

The Extensional Rheology of Semi- Dilute Dna Solutions

The rheological behaviour of polymer melts and dilute polymer solutions in elongational flow have been extensively examined through experiments and theoretical predictions. However, an experimental study to understand the extensional rheological properties of polymer solutions in the semi-dilute regime is currently lacking in terms of a systematic examination of the effects of concentration and...

متن کامل

Effect of a controlled pre-deformation history on extensional viscosity of dilute polymer solutions

We use a modified filament stretching rheometer to quantify the influence of a known controlled pre-shear history on the transient extensional viscosity of a dilute polymer solution. Two different types of pre-deformation are explored; both influence the subsequent stretching significantly, albeit in opposite ways. Small-amplitude oscillatory straining parallel to the direction of stretching en...

متن کامل

Mechanical properties of CNT reinforced nano-cellular polymeric nanocomposite foams

Mechanics of CNT-reinforced nano-cellular PMMA nanocomposites are investigated using coarse-grained molecular dynamics simulations. Firstly, static uniaxial stretching of bulk PMMA polymer is simulated and the results are compared with literature. Then, nano-cellular foams with different relative densities are constructed and subjected to static uniaxial stretching and obtained stress-strain cu...

متن کامل

A one-dimensional model for theoretical analysis of single molecule experiments

In this paper we compare two polymer stretching experiments. The outcome of both experiments is a force-extension relation. We use a onedimensional model to show that in general the two quantities are not equal. In certain limits, however, both force-extension relations coincide.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 71 3 Pt 2A  شماره 

صفحات  -

تاریخ انتشار 2005