| Autor: |
Charan, Harish, Hansen, Alex, Hentschel, H. G. E., Procaccia, Itamar |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Phys. Rev. Lett. 126, 085501 (2021) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1103/PhysRevLett.126.085501 |
| Popis: |
The rupture of a polymer chain maintained at temperature $T$ under fixed tension is prototypical to a wide array of systems failing under constant external strain and random perturbations. Past research focused on analytic and numerical studies of the mean rate of collapse of such a chain. Surprisingly, an analytic calculation of the probability distribution function (PDF) of collapse rates appears to be lacking. Since rare events of rapid collapse can be important and even catastrophic, we present here a theory of this distribution, with a stress on its tail of fast rates. We show that the tail of the PDF is a power law with a {\em universal} exponent that is theoretically determined. Extensive numerics validate the offered theory. Lessons pertaining to other problems of the same type are drawn. |
| Databáze: |
arXiv |
| Externí odkaz: |
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