Role of temperature in the decohesion of an elastic chain tethered to a substrate by onsite breakable links
We analyze the role of temperature in the rate-independent cohesion and decohesion behavior of an elastic film, mimicked by a one-dimensional mass-spring chain, grounded to an undeformable substrate via a one-dimensional sequence of breakable links. In the framework of equilibrium statistical mechan...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033227 |
| _version_ | 1797211323238449152 |
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| author | Giuseppe Florio Giuseppe Puglisi Stefano Giordano |
| author_facet | Giuseppe Florio Giuseppe Puglisi Stefano Giordano |
| author_sort | Giuseppe Florio |
| collection | DOAJ |
| description | We analyze the role of temperature in the rate-independent cohesion and decohesion behavior of an elastic film, mimicked by a one-dimensional mass-spring chain, grounded to an undeformable substrate via a one-dimensional sequence of breakable links. In the framework of equilibrium statistical mechanics, in both isometric (Helmholtz ensemble) and isotensional (Gibbs ensemble) conditions, we prove that the decohesion process can be described as a transition at a load threshold, sensibly depending on temperature. Under the classical assumption of having a single domain wall between attached and detached links (zipper model), we are able to obtain analytical expressions for the temperature dependent decohesion force, qualitatively reproducing important experimental effects in biological adhesion. Interestingly, although the two ensembles exhibit a similar critical behavior, they are not equivalent in the thermodynamic limit since they display dissimilar force-extension curves and, in particular, significantly different decohesion thresholds. |
| first_indexed | 2024-04-24T10:24:40Z |
| format | Article |
| id | doaj.art-39dd098a01f448c1b7c88a6df0196814 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:24:40Z |
| publishDate | 2020-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-39dd098a01f448c1b7c88a6df01968142024-04-12T16:58:38ZengAmerican Physical SocietyPhysical Review Research2643-15642020-08-012303322710.1103/PhysRevResearch.2.033227Role of temperature in the decohesion of an elastic chain tethered to a substrate by onsite breakable linksGiuseppe FlorioGiuseppe PuglisiStefano GiordanoWe analyze the role of temperature in the rate-independent cohesion and decohesion behavior of an elastic film, mimicked by a one-dimensional mass-spring chain, grounded to an undeformable substrate via a one-dimensional sequence of breakable links. In the framework of equilibrium statistical mechanics, in both isometric (Helmholtz ensemble) and isotensional (Gibbs ensemble) conditions, we prove that the decohesion process can be described as a transition at a load threshold, sensibly depending on temperature. Under the classical assumption of having a single domain wall between attached and detached links (zipper model), we are able to obtain analytical expressions for the temperature dependent decohesion force, qualitatively reproducing important experimental effects in biological adhesion. Interestingly, although the two ensembles exhibit a similar critical behavior, they are not equivalent in the thermodynamic limit since they display dissimilar force-extension curves and, in particular, significantly different decohesion thresholds.http://doi.org/10.1103/PhysRevResearch.2.033227 |
| spellingShingle | Giuseppe Florio Giuseppe Puglisi Stefano Giordano Role of temperature in the decohesion of an elastic chain tethered to a substrate by onsite breakable links Physical Review Research |
| title | Role of temperature in the decohesion of an elastic chain tethered to a substrate by onsite breakable links |
| title_full | Role of temperature in the decohesion of an elastic chain tethered to a substrate by onsite breakable links |
| title_fullStr | Role of temperature in the decohesion of an elastic chain tethered to a substrate by onsite breakable links |
| title_full_unstemmed | Role of temperature in the decohesion of an elastic chain tethered to a substrate by onsite breakable links |
| title_short | Role of temperature in the decohesion of an elastic chain tethered to a substrate by onsite breakable links |
| title_sort | role of temperature in the decohesion of an elastic chain tethered to a substrate by onsite breakable links |
| url | http://doi.org/10.1103/PhysRevResearch.2.033227 |
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