Title :

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

Author(s) :

Cannizzo, Andrea [Auteur]
Polytechnic University of Bari / Politecnico di Bari
Acoustique Impulsionnelle & Magnéto-Acoustique Non linéaire - Fluides, Interfaces Liquides & Micro-Systèmes - IEMN [AIMAN-FILMS - IEMN]
Bellino, Luca [Auteur]
Polytechnic University of Bari / Politecnico di Bari
Florio, Giuseppe [Auteur]
Polytechnic University of Bari / Politecnico di Bari
Istituto Nazionale di Fisica Nucleare, sezione di Bari [INFN, sezione di Bari]
Puglisi, Giuseppe [Auteur]
Polytechnic University of Bari / Politecnico di Bari
Giordano, Stefano [Auteur]
Acoustique Impulsionnelle & Magnéto-Acoustique Non linéaire - Fluides, Interfaces Liquides & Micro-Systèmes - IEMN [AIMAN-FILMS - IEMN]

Journal title :

The European Physical Journal Plus

Pages :

569

Publisher :

Springer

Publication date :

2022

ISSN :

2190-5444

English keyword(s) :

configurational transitions
phase transformations
statistical mechanics of bistable systems
nanowires

HAL domain(s) :

Physique [physics]/Matière Condensée [cond-mat]
Physique [physics]/Physique [physics]/Biophysique [physics.bio-ph]

English abstract : [en]

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 ...
Show more >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 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.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Institut d'Électronique, de Microélectronique et de Nanotechnologie (IEMN) - UMR 8520

Source :

Harvested from HAL