Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Granular polymer solution.

Jeffrey J Prentis1, Daniel R Sisan

  • 1Department of Natural Sciences, University of Michigan at Dearborn, Dearborn, Michigan 48128, USA. jprentis@umd.umich.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 23, 2002
PubMed
Summary

Researchers studied granular polymers in a granular solvent, finding chain length scales with N^0.75. This confirms theoretical predictions for self-avoiding random walks in two dimensions.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Predicting rates of cell state change caused by stochastic fluctuations using a data-driven landscape model.

Proceedings of the National Academy of Sciences of the United States of America·2012
Same author

Cell cycle dependent TN-C promoter activity determined by live cell imaging.

Cytometry. Part A : the journal of the International Society for Analytical Cytology·2011
Same author

Event ordering in live-cell imaging determined from temporal cross-correlation asymmetry.

Biophysical journal·2010
Same author

Design and optimization of a high-speed, high-sensitivity, spinning disk confocal microscopy system.

Journal of biomedical optics·2008
Same author

Spatially resolved fluorescence correlation spectroscopy using a spinning disk confocal microscope.

Biophysical journal·2006
Same author

Visualizing the invisible: ultrasound velocimetry in liquid sodium.

Chaos (Woodbury, N.Y.)·2006

Area of Science:

  • Physics
  • Polymer Science
  • Statistical Mechanics

Background:

  • Granular materials exhibit complex behaviors distinct from molecular systems.
  • Polymers in confined or unusual solvents present unique conformational challenges.
  • Self-avoiding random walks (SAWs) are fundamental models in statistical physics.

Purpose of the Study:

  • To experimentally measure the conformational properties of a granular polymer in a granular solvent.
  • To test theoretical predictions for critical exponents in two-dimensional systems.
  • To compare the experimental probability distribution of chain size with scaling theory.

Main Methods:

  • Constructed a granular polymer using a linear chain of plastic spheres.
  • Immersed the polymer in a planar fluid of self-propelled balls (granular solvent).
  • Measured the time average of the end-to-end length as a function of the number of links N.

Main Results:

  • Observed scaling of the end-to-end length with N^(2*nu).
  • Determined the critical exponent nu = 0.75 ± 0.01.
  • Confirmed the theoretical value of nu = 3/4 for a 2D self-avoiding random walk.

Conclusions:

  • The granular polymer system serves as an experimental realization of a 2D self-avoiding random walk.
  • Experimental results align with universal scaling theory predictions.
  • This study bridges granular physics and polymer conformation studies.

Related Experiment Videos