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Polymers: Molecular Weight Distribution01:10

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Work distribution functions in polymer stretching experiments.

Abhishek Dhar1

  • 1Raman Research Institute, Bangalore 560080, India. dabhi@rri.res.in

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 21, 2005
PubMed
Summary
This summary is machine-generated.

We calculated the work distribution for stretching Gaussian polymers at a finite rate. The work distribution is Gaussian for a 1D polymer with Rouse dynamics, with computed mean and width.

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Area of Science:

  • Polymer physics
  • Statistical mechanics
  • Soft matter physics

Background:

  • Understanding polymer dynamics is crucial in various scientific fields.
  • Stretching polymers provides insights into their mechanical properties and thermodynamic behavior.

Purpose of the Study:

  • To compute the work distribution for stretching a Gaussian polymer at a finite rate.
  • To analyze the effects of different stretching protocols on polymer behavior.

Main Methods:

  • Utilizing Rouse dynamics for a one-dimensional Gaussian polymer model.
  • Explicitly calculating the mean and width of the work distribution.
  • Examining two stretching scenarios: end-constraint and force-constraint.

Main Results:

  • The work distribution for a 1D polymer undergoing Rouse dynamics is found to be Gaussian.
  • Explicit formulas for the mean and width of the work distribution were derived.
  • The study analyzed scenarios of end-constraint and force-constraint stretching.

Conclusions:

  • The findings provide a detailed understanding of work distribution in polymer stretching.
  • Connections to fundamental concepts like Jarzynski's equality and fluctuation theorems are discussed.
  • This work contributes to the theoretical framework of non-equilibrium statistical mechanics for polymers.