Effect of internal friction on the coil-stretch transition in turbulent flows
arXiv:2011.03966
Abstract
A polymer in a turbulent flow undergoes the coil-stretch transition when the Weissenberg number, i.e. the product of the Lyapunov exponent of the flow and the relaxation time of the polymer, surpasses a critical value. The effect of internal friction on the transition is studied by means of Brownian dynamics simulations of the elastic dumbbell model in a homogeneous and isotropic, incompressible, turbulent flow and analytical calculations for a stochastic velocity gradient. The results are explained by adapting the large deviations theory of Balkovsky et al. [Phys. Rev. Lett., 2000, 84, 4765] to an elastic dumbbell with internal viscosity. In turbulent flows, a distinctive feature of the probability distribution of polymer extensions is its power-law behaviour for extensions greater than the equilibrium length and smaller than the contour length. It is shown that although internal friction does not modify the critical Weissenberg number for the coil-stretch transition, it makes the slope of the probability distribution steeper, thus rendering the transition sharper. Internal friction therefore provides a possible explanation for the steepness of the distribution of polymer extensions observed in experiments at large Weissenberg numbers.
arXiv comment8 pages, 3 figures
References in corpus (20)
- Particles and fields in fluid turbulence
- Microscopic Theory of Protein Folding Rates.II: Local Reaction Coordinates and Chain Dynamics
- Single Polymer Dynamics for Molecular Rheology
- Two-dimensional elastic turbulence
- On the Turbulent Dynamics of Polymer Solutions
- Polymers in Fluid Flows
- Polymer Stretching by Turbulence
- Single polymer dynamics: coil-stretch transition in a random flow
- Two-dimensional turbulence of dilute polymer solutions
- Numerical study of polymer tumbling in linear shear flows
- Nonlinear elastic polymers in random flow
- Dynamical Slowdown of Polymers in Laminar and Random Flows
- Stretching of polymers in a turbulent environment
- Statistics of polymer extensions in turbulent channel flow
- On the Peterlin approximation for turbulent flows of polymer solutions
- Hard gap in a normal layer coupled to a superconductor
- Two-dimensional, homogeneous, isotropic fluid turbulence with polymer additives
- Reconfiguration Dynamics in folded and intrinsically disordered protein with internal friction: Effect of solvent quality and denaturant
- Rheological consequences of wet and dry friction in a dumbbell model with hydrodynamic interactions and internal viscosity
- Wet and dry internal friction can be measured with the Jarzynski equality