Reptation Theory (Fall 2024)

Thursday, 3 October 2024

Presentations

  • Introduction / Key Concepts by Gareth McKinley
  • Basic Outline / Primer on the Doi-Edwards Reptation Theory by Isaac Pincus
Papers
  • McLeish, T. (2008). A tangled tale of topological fluids. Physics today, 61(8), 40-45.
  • Doi, M., & Edwards, S. F. (1978). Dynamics of concentrated polymer systems. Part 1.—Brownian motion in the equilibrium state. Journal of the Chemical Society, Faraday Transactions 2: Molecular and Chemical Physics, 74, 1789-1801.
  • Graessley, W. W. (1980). Polymer chain dimensions and the dependence of viscoelastic properties on concentration, molecular weight and solvent power. Polymer, 21(3), 258-262.

Thursday, 31 October 2024

Presentations
  • Chain Stretch (CS) and the Doi-Edwards-Marrucci-Grizzuti (DEMG) Model by Lucas Warwaruk
  • Diffusive Constraint Release (DCR) and Origins of the 3.4 Power by Laurel Kroo
Papers
  • Larson, R. G., & Desai, P. S. (2015). Modeling the rheology of polymer melts and solutions. Annual Review of Fluid Mechanics, 47(1), 47-65.
  • Doi, M. (1983). Explanation for the 3.4‐power law for viscosity of polymeric liquids on the basis of the tube model. Journal of Polymer Science: Polymer Physics Edition, 21(5), 667-684.
  • Milner, S. T., & McLeish, T. C. B. (1998). Reptation and contour-length fluctuations in melts of linear polymers. Physical Review Letters, 81(3), 725.

Thursday, 14 November 2024

Presentations
  • Convective Constraint Release (CCR) by Mohua Das
  • The Rolie-Poly Model (CS + DCR + CCR) by Nicholas King
Papers
  • Marrucci, G. (1996). Dynamics of entanglements: A nonlinear model consistent with the Cox-Merz rule. Journal of non-newtonian fluid mechanics, 62(2-3), 279-289.
  • Likhtman, A. E., & Graham, R. S. (2003). Simple constitutive equation for linear polymer melts derived from molecular theory: Rolie–Poly equation. Journal of Non-Newtonian Fluid Mechanics, 114(1), 1-12.
  • Lennon, K. R., McKinley, G. H., & Swan, J. W. (2021). The medium amplitude response of nonlinear Maxwell–Oldroyd type models in simple shear. Journal of Non-Newtonian Fluid Mechanics, 295, 104601.