Polymer stretching in laminar and random flows: entropic characterization
arXiv:2112.01344 · doi:10.1103/PhysRevFluids.8.053301
Abstract
Polymers in nonuniform flows undergo strong deformation, which in the presence of persistent stretching can result in the coil-stretch transition. This phenomenon has been characterized by using the formalism of nonequilibrium statistical mechanics. In particular, the entropy of the polymer extension reaches a maximum at the transition. We extend the entropic characterization of the coil-stretch transition by studying the differential entropy of the polymer fractional extension in a set of laminar and random velocity fields that are benchmarks for the study of polymer stretching in flow. In the case of random velocity fields, a suitable description of the transition is obtained by considering the entropy of the logarithm of the extension instead of the entropy of the extension itself. Entropy emerges as an effective tool for capturing the coil-stretch transition and comparing its features in different flows.
arXiv comment6 pages, 2 figures
References in corpus (25)
- Particles and fields in fluid turbulence
- Elastic turbulence in a polymer solution flow
- Turbulent drag reduction by polymer additives: Fundamentals and recent advances
- Statistics of tumbling of a single polymer molecule in shear flow
- On the Turbulent Dynamics of Polymer Solutions
- Lyapunov exponents of heavy particles in turbulence
- Polymers in Fluid Flows
- Polymer Stretching by Turbulence
- Single polymer dynamics: coil-stretch transition in a random flow
- Polymers in linear shear flow: a numerical study
- Chaos and predictability of homogeneous-isotropic turbulence
- Two-dimensional turbulence of dilute polymer solutions
- Geometric decomposition of the conformation tensor in viscoelastic turbulence
- Nonlinear elastic polymers in random flow
- Effect of stretching-induced changes in hydrodynamic screening on coil-stretch hysteresis of unentangled polymer solutions
- Statistics of Entropy Production in Linearized Stochastic System
- Dynamical Slowdown of Polymers in Laminar and Random Flows
- Hard gap in a normal layer coupled to a superconductor
- Two-way coupling of FENE dumbbells with a turbulent shear flow
- Polymer scission in turbulent flows
- New directions and perspectives in elastic instability and turbulence in various viscoelastic flow geometries without inertia
- Coil-stretch-like transition of elastic sheets in extensional flows
- Deformation of a flexible polymer in a random flow with long correlation time
- Bead-rod-spring models in random flows
- Extreme value statistics of work done in stretching a polymer in a gradient flow