Projects per year
Abstract
We present a tube model for the Brownian dynamics of associating polymers in extensional flow. In linear response, the model confirms the analytical predictions for the sticky diffusivity by LeiblerRubinsteinColby theory. Although a singlemode DoiEdwardsMarrucciGrizzuti approximation accurately describes the transient stretching of the polymers above a “sticky” Weissenberg number (product of the strain rate with the stickyRouse time), the preaveraged model fails to capture a remarkable development of a power law distribution of stretch in steadystate extensional flow: while the mean stretch is finite, the fluctuations in stretch may diverge. We present an analytical model that shows how strong stochastic forcing drives the long tail of the distribution, gives rise to rare events of reaching a threshold stretch, and constitutes a framework within which nucleation rates of flowinduced crystallization may be understood in systems of associating polymers under flow. The model also exemplifies a wide class of driven systems possessing strong, and scaling, fluctuations.We present a tube model for the Brownian dynamics of associating polymers in extensional flow. In linear response, the model confirms the analytical predictions for the sticky diffusivity by LeiblerRubinsteinColby theory. Although a singlemode DoiEdwardsMarrucciGrizzuti approximation accurately describes the transient stretching of the polymers above a “sticky” Weissenberg number (product of the strain rate with the stickyRouse time), the preaveraged model fails to capture a remarkable development of a power law distribution of stretch in steadystate extensional flow: while the mean stretch is finite, the fluctuations in stretch may diverge. We present an analytical model that shows how strong stochastic forcing drives the long tail of the distribution, gives rise to rare events of reaching a threshold stretch, and constitutes a framework within which nucleation rates of flowinduced crystallization may be understood in systems of associating polymers under flow. The model also exemplifies a wide class of driven systems possessing strong, and scaling, fluctuations.
Original language  English 

Article number  057801 
Number of pages  6 
Journal  Physical Review Letters 
Volume  126 
Issue number  5 
DOIs  
Publication status  Published  2 Feb 2021 
Keywords
 silk spinning
 Rheology of entangled polymers
 associating polymers
 Powerlaw sizestructure
 Nonlinear models
 Extensional flow
 driven systems
Projects
 1 Finished

Physics of Life  Noise, Information and Evolution in Protein Binding
1/02/18 → 30/04/23
Project: Research project (funded) › Research