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• W2779575878 startingPage "459" @default.
• W2779575878 abstract "Representing polymers by random walks on a lattice is a fruitful approach largely exploited to study configurational statistics of polymer chains and to develop efficient Monte Carlo algorithms. Nevertheless, the stretching and the folding/unfolding of polymer chains within the Gibbs (isotensional) and the Helmholtz (isometric) ensembles of the statistical mechanics have not been yet thoroughly analysed by means of the lattice methodology. This topic, motivated by the recent introduction of several single-molecule force spectroscopy techniques, is investigated in the present paper. In particular, we analyse the force–extension curves under the Gibbs and Helmholtz conditions and we give a proof of the ensembles equivalence in the thermodynamic limit for polymers represented by a standard random walk on a lattice. Then, we generalize these concepts for lattice polymers that can undergo conformational transitions or, equivalently, for chains composed of bistable or two-state elements (that can be either folded or unfolded). In this case, the isotensional condition leads to a plateau-like force–extension response, whereas the isometric condition causes a sawtooth-like force–extension curve, as predicted by numerous experiments. The equivalence of the ensembles is finally proved also for lattice polymer systems exhibiting conformational transitions." @default.
• W2779575878 created "2018-01-05" @default.
• W2779575878 creator A5088641152 @default.
• W2779575878 date "2017-12-18" @default.
• W2779575878 modified "2023-10-06" @default.
• W2779575878 title "Helmholtz and Gibbs ensembles, thermodynamic limit and bistability in polymer lattice models" @default.
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• W2779575878 doi "https://doi.org/10.1007/s00161-017-0615-5" @default.
• W2779575878 hasPublicationYear "2017" @default.
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