IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Ninth Annual Graduate Student Mini-conference in Computational Mathematics

Erik Palmer
University of South Carolina
http://people.math.sc.edu/etpalmer/
Abstract

A stochastic model for high performance computing of polymer gel behavior

  • Feb. 17, 2018
  • 1:40 p.m.
  • LeConte 412

Hydrogels have attracted attention as "smart" materials for their tunable mechanical properties that respond to environmental stimuli such as pH, UV, or temperature; making them ideal for a variety of biomedical and sensor technology applications. Consisting of mostly water, the viscoelastic properties of hydrogels are the product of a network of polymer chains attaching and detaching at various entanglement points. Due to this complexity at the micro-scale, many previous polymer simulations rely on mathematical simplifications of chain dynamics to produce results. In this poster we explore the potential for a mean-field model to capture the properties that emerge from a mixture of hydrogels using massively parallel computation on graphics processing units. This approach abstracts away the network positions and uses stochastic differential equations derived from physical properties to capture the breaking and reforming behavior of attached segments, thereby keeping the non-linear micro-scale polymer dynamics intact.

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