Role of temperature in the decohesion of an elastic chain tethered to a substrate by onsite breakable links

Florio, Giuseppe; Puglisi, Giuseppe; Giordano, Stefano

doi:10.1103/physrevresearch.2.033227

Cited by 30 publications

(23 citation statements)

References 114 publications

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“…We imagine that cross linker redistribution and defect energies will be affected by the elastic compliance of the cross linkers. Previous studies of the peeling of bead-spring models of filaments [ 19 , 20 ] and of semiflexible filaments [ 21 ] bonded to substrates by cross linkers have demonstrated the importance of the cross linkers’ compliance on the unbinding dynamics. Based on these studies, we anticipate that the inclusion of cross linker compliance may affect both the kinetics of defect motion and their creation/annihilation rates.…”

Section: Discussionmentioning

confidence: 99%

Braiding Dynamics in Semiflexible Filament Bundles under Oscillatory Forcing

Slepukhin

Levine

2021

Polymers

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We examine the nonequilibrium production of topological defects—braids—in semiflexible filament bundles under cycles of compression and tension. During these cycles, the period of compression facilitates the thermally activated pair production of braid/anti-braid pairs, which then may separate when the bundle is under tension. As a result, appropriately tuned alternating periods of compression and extension should lead to the proliferation of braid defects in a bundle so that the linear density of these pairs far exceeds that expected in the thermal equilibrium. Secondly, we examine the slow extension of braided bundles under tension, showing that their end-to-end length creeps nonmonotonically under a fixed force due to braid deformation and the motion of the braid pair along the bundle. We conclude with a few speculations regarding experiments on semiflexible filament bundles and their networks.

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Section: Discussionmentioning

confidence: 99%

Braiding Dynamics in Semiflexible Filament Bundles under Oscillatory Forcing

Slepukhin

Levine

2021

Polymers

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“…By following the approach suggested in Refs. [65,66] to obtain explicit analytical results, not only for the stress plateau but also for the stress peak, we may consider the Euler-MacLaurin (EM) approximation for a given function φ…”

Section: Stationary Phase Analysis Of the Zipper Model Within The Hel...mentioning

confidence: 99%

“…Moreover, from a theoretical point of view, the comparison of the force-extension response within different ensembles is an important point useful to understand the concept of ensembles equivalence in the thermodynamic limit, as discussed below. The spin variable method has been successfully used to study the nanomechanics of macromolecules [67][68][69][70][71][72], the denaturation of macromolecules [73,74], the non-local or cooperative effects [54,64], skeletal muscles [22][23][24][25], and systems with transitions between unbroken and broken states [65,66,[75][76][77].…”

Section: Introductionmentioning

confidence: 99%

Thermal control of nucleation and propagation transition stresses in discrete lattices with non-local interactions and non-convex energy

Cannizzo¹,

Bellino²,

Florio³

et al. 2022

Preprint

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Non-local and non-convex energies represent fundamental interacting effects regulating the complex behavior of many systems in biophysics and materials science. We study one dimensional, prototypical schemes able to represent the behavior of several biomacromolecules and the phase transformation phenomena in solid mechanics. To elucidate the Discrete lattices with non-local interactions and non-convex energy effects of thermal fluctuations on the non-convex non-local behavior of such systems, we consider three models of different complexity relying on thermodynamics and statistical mechanics: (i) an Ising-type scheme with an arbitrary temperature dependent number of interfaces between different domains, (ii) a zipper model with a single interface between two evolving domains, and (iii) an approximation based on the stationary phase method. In all three cases, we study the system under both isometric condition (prescribed extension, matching with the Helmholtz ensemble of the statistical mechanics) and isotensional condition (applied force, matching with the Gibbs ensemble). Interestingly, in the Helmholtz ensemble the analysis shows the possibility of interpreting the experimentally observed thermal effects with the theoretical force-extension relation characterized by a temperature dependent force plateau (Maxwell stress) and a force peak (nucleation stress). We obtain explicit relations for the configurational properties of the system as well (expected values of the phase fractions and number of interfaces). Moreover, we are able to prove the equivalence of the two thermodynamic ensembles in the thermodynamic limit. We finally discuss the comparison with data from the literature showing the efficiency of the proposed model in describing known experimental effects.

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“…In this paper, we introduce an important generalization of the model presented in Ref. [80], by introducing a softening mechanism in the breakable units of the system. More specifically, we study a one-dimensional lattice of masses linked by harmonic springs and connected to a substrate by breakable links subjected to a softening mechanism (see Fig.…”

Section: Introductionmentioning

confidence: 99%

Temperature controlled decohesion regimes of an elastic chain adhering to a fixed substrate by softening and breakable bonds

Cannizzo¹,

Florio²,

Puglisi³

et al. 2021

J. Phys. A: Math. Theor.

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We study the rate-independent decohesion process for a chain linked to a substrate through a series of breakable elements with a softening mechanism. Such an assumption describes the realistic case when connecting links can undergo softening transitions before breaking. For instance, this is a diffuse mechanism observed both in fracture of soft materials and biological adhesion. The analysis of this model is developed in the framework of equilibrium statistical mechanics. In order to describe mechanically Temperature controlled decohesion regimes 2 induced detachment of the chain from the substrate both in the cases of hard devices (prescribed extension) or soft devices (applied force), we consider both Helmholtz and Gibbs ensembles. In any case, the model can be exactly solved and is characterized by a phase transition at a given critical temperature, corresponding to the complete detachment of the chain even without mechanical actions. Interestingly, according to the 'size' of the softened region, we observe two different regimes. In one case (fragile regime) during the decohesion the measure of the softened region is negligible, whereas in the other case (ductile regime) we obtain a finite measure of the softened region that is constant, giving a temperature dependent analytic measure of the process zone.

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Role of temperature in the decohesion of an elastic chain tethered to a substrate by onsite breakable links

Cited by 30 publications

References 114 publications

Braiding Dynamics in Semiflexible Filament Bundles under Oscillatory Forcing

Braiding Dynamics in Semiflexible Filament Bundles under Oscillatory Forcing

Thermal control of nucleation and propagation transition stresses in discrete lattices with non-local interactions and non-convex energy

Temperature controlled decohesion regimes of an elastic chain adhering to a fixed substrate by softening and breakable bonds

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