2022
DOI: 10.48550/arxiv.2202.10743
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Thermal control of nucleation and propagation transition stresses in discrete lattices with non-local interactions and non-convex energy

Abstract: 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… Show more

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“…In this regard, effective antiferromagnetic interactions for which the pseudospins partition function is exactly known [44] deserve to be studied. Moreover, the framework developed here may be useful to look into the elastic behaviour of systems in which elastic modes are coupled to other, internal, degrees of freedom-such as biomolecules [45,46,47,48]. A different but also interesting prospect is the investigation of dynamics, since the present study only concerns equilibrium configurations.…”
Section: Discussionmentioning
confidence: 99%
“…In this regard, effective antiferromagnetic interactions for which the pseudospins partition function is exactly known [44] deserve to be studied. Moreover, the framework developed here may be useful to look into the elastic behaviour of systems in which elastic modes are coupled to other, internal, degrees of freedom-such as biomolecules [45,46,47,48]. A different but also interesting prospect is the investigation of dynamics, since the present study only concerns equilibrium configurations.…”
Section: Discussionmentioning
confidence: 99%