Wet and dry internal friction can be measured with the Jarzynski equality

Abstract

The existence of two types of internal friction wet and dry is revisited, and a simple protocol is proposed for distinguishing between the two types and extracting the appropriate internal friction coefficient. The scheme requires repeatedly stretching a polymer molecule, and measuring the average work dissipated in the process by applying the Jarzynski equality. The internal friction coefficient is then estimated from the average dissipated work in the extrapolated limit of zero solvent viscosity. The validity of the protocol is established through analytical calculations on a one-dimensional free-draining Hookean spring-dashpot model for a polymer, and Brownian dynamics simulations of: (a) a single-mode nonlinear spring-dashpot model for a polymer, and (b) a finitely extensible bead-spring chain with cohesive intra-chain interactions, both of which incorporate fluctuating hydrodynamic interactions. Well-established single-molecule manipulation techniques, such as optical tweezer-based pulling, can be used to implement the suggested protocol experimentally.

arXiv comment27 pages, 17 figures

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• Universal scaling and characterisation of gelation in associative polymer solutions
• Shear viscosity for finitely extensible chains with fluctuating internal friction and hydrodynamic interactions
• Rouse model with fluctuating internal friction
• Effect of internal friction on the coil-stretch transition in turbulent flows
• How important are fluctuations in the treatment of internal friction in polymers?
• Dissipative response of driven bead-spring-dashpot chains
• Dissipation and adhesion hysteresis between (010) forsterite surfaces using molecular-dynamics simulation and the Jarzynski equality