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

In geometrically frustrated assemblies, equilibrium self-limitation manifestsin the form of a minimum in the free energy per subunit at a finite,multi-subunit size which results from the competition between the elastic costsof frustration within an assembly and the surface energy at its boundaries.Physical realizations -- from ill-fitting particle assemblies to self-twistingprotein superstructures -- are capable of multiple mechanisms of escaping thecumulative costs of frustration, resulting in unlimited equilibrium assembly,including elastic modes of ``shape-flattening'' and the formation of weak,defective bonds that screen intra-assembly stresses. Here we study a model of1D chain assembly of incommensurate ``polybricks'', and determine itsequilibrium assembly as a function of temperature, concentration, degree ofshape frustration, elasticity and inter-particle binding, notably focusing onhow weakly cohesive, defective bonds give rise to stronglytemperature-dependent assembly. Complex assembly behavior derives from thecompetition between multiple distinct local minima in the free energylandscape, including self-limiting chains, weakly-bound aggregates ofself-limiting chains, and strongly-bound, elastically defrustrated assemblies.We show that this scenario, in general, gives rise to anomalous {\it multipleaggregation} behavior, in which disperse subunits first exhibit a primaryaggregation transition to self-limiting chains (at intermediate concentrationand temperature) which are ultimately unstable to condensation into unlimitedassembly of finite-chains through weak binding at a secondary aggregationtransition (at low temperature and high concentration). We show that window ofstable self-limitation is determined both by the elastic costs of frustrationin the assembly as well as energetic and entropic features of inter-subunitbinding.

Thermal stability and secondary aggregation of self-limiting, geometrically-frustrated assemblies: Chain assembly of incommensurate polybricks