English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Shear-banding is a curious but ubiquitous phenomenon occurring in softmatter. The phenomenological similarities between the shear-banding transitionand phase transitions has pushed some researchers to adopt a 'thermodynamical'approach, in opposition to the more classical 'mechanical' approach to fluidflows. In this heuristic review, we describe why the apparent dichotomy betweenthose approaches has slowly faded away over the years. To support ourdiscussion, we give an overview of different interpretations of a singleequation, the diffusive Johnson-Segalman (dJS) equation, in the context ofshear-banding. We restrict ourselves to dJS, but we show that the equation canbe written in various equivalent forms usually associated with oppositeapproaches. We first review briefly the origin of the dJS model and its initialrheological interpretation in the context of shear-banding. Then we describethe analogy between dJS and reaction-diffusion equations. In the case ofanisotropic diffusion, we show how the dJS governing equations for steady shearflow are analogous to the equations of the dynamics of a particle in a quarticpotential. Going beyond the existing literature, we then draw on the Lagrangianformalism to describe how the boundary conditions can have a key impact on thebanding state. Finally, we reinterpret the dJS equation again and we show thata rigorous effective free energy can be constructed, in the spirit of earlythermodynamic interpretations or in terms of more recent approaches exploitingthe language of irreversible thermodynamics.

Potential "ways of thinking" about the shear-banding phenomenon