Kardar-Parisi-Zhang equation in a half space with flat initial condition and the unbinding of a directed polymer from an attractive wall
| العنوان: | Kardar-Parisi-Zhang equation in a half space with flat initial condition and the unbinding of a directed polymer from an attractive wall |
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| المؤلفون: | Pierre Le Doussal, Guillaume Barraquand |
| المساهمون: | Champs Aléatoires et Systèmes hors d'Équilibre, Laboratoire de physique de l'ENS - ENS Paris (LPENS (UMR_8023)), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), Laboratoire de physique de l'ENS - ENS Paris (LPENS), Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-Sorbonne Université (SU)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-Sorbonne Université (SU)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL) |
| المصدر: | Physical Review E Physical Review E, American Physical Society (APS), 2021, 104 (2), pp.024502. ⟨10.1103/PhysRevE.104.024502⟩ |
| بيانات النشر: | American Physical Society (APS), 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Physics, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], 010102 general mathematics, Mathematical analysis, PACS: 05.40.-a, 02.10.Yn, 02.50.-r, Space (mathematics), 01 natural sciences, Measure (mathematics), Kardar–Parisi–Zhang equation, [CHIM.POLY]Chemical Sciences/Polymers, Exact solutions in general relativity, Distribution (mathematics), Critical point (thermodynamics), 0103 physical sciences, Initial value problem, [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], 0101 mathematics, 010306 general physics, Random matrix |
| الوصف: | 27 pages. v3: references added, appendix reorganized (some sections numbers have changed). Accepted version; International audience; We present an exact solution for the height distribution of the KPZ equation at any time $t$ in a half space with flat initial condition. This is equivalent to obtaining the free energy distribution of a polymer of length $t$ pinned at a wall at a single point. In the large $t$ limit a binding transition takes place upon increasing the attractiveness of the wall. Around the critical point we find the same statistics as in the Baik-Ben--Arous-P\'ech\'e transition for outlier eigenvalues in random matrix theory. In the bound phase, we obtain the exact measure for the endpoint and the midpoint of the polymer at large time. We also unveil curious identities in distribution between partition functions in half-space and certain partition functions in full space for Brownian type initial condition. |
| تدمد: | 2470-0053 2470-0045 |
| DOI: | 10.1103/physreve.104.024502 |
| DOI: | 10.1103/PhysRevE.104.024502⟩ |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f8d887fa52c132b84e18a24dc1c76d2 https://doi.org/10.1103/physreve.104.024502 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....6f8d887fa52c132b84e18a24dc1c76d2 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 24700053 24700045 |
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| DOI: | 10.1103/physreve.104.024502 |