Geometric Characterization of the Eyring–Kramers Formula
Avelin, B., Julin, V., & Viitasaari, L. (2023). Geometric Characterization of the Eyring–Kramers Formula. Communications in Mathematical Physics, 404, 401-437. https://doi.org/10.1007/s00220-023-04845-z
Julkaistu sarjassa
Communications in Mathematical PhysicsPäivämäärä
2023Oppiaine
MatematiikkaAnalyysin ja dynamiikan tutkimuksen huippuyksikköMathematicsAnalysis and Dynamics Research (Centre of Excellence)Tekijänoikeudet
© The Author(s) 2023
In this paper we consider the mean transition time of an over-damped Brownian particle between local minima of a smooth potential. When the minima and saddles are non-degenerate this is in the low noise regime exactly characterized by the so called Eyring–Kramers law and gives the mean transition time as a quantity depending on the curvature of the minima and the saddle. In this paper we find an extension of the Eyring–Kramers law giving an upper bound on the mean transition time when both the minima/saddles are degenerate (flat) while at the same time covering multiple saddles at the same height. Our main contribution is a new sharp characterization of the capacity of two local minima as a ratio of two geometric quantities, i.e., the minimal cut and the geodesic distance.
Julkaisija
SpringerISSN Hae Julkaisufoorumista
0010-3616Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/188986345
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Rahoittaja(t)
Suomen AkatemiaRahoitusohjelmat(t)
Akatemiatutkijan tutkimuskulut, SALisätietoja rahoituksesta
Open access funding provided by Uppsala University. B.A. was supported by the Swedish Research Council dnr: 2019-04098. V.J. was supported by the Academy of Finland Grant 314227.Lisenssi
Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
-
Geometric embeddings of metric spaces
Heinonen, Juha (University of Jyväskylä, 2003) -
The mechanical and geometrical properties of fibrous structures
Mäkinen, Jukka (2001)This thesis deals with both random and regular (woven) fibre networks. An effective medium theory for the tensile stiffness of two-dimensional random fibre networks is presented. The theory is extended to three-dimensional ... -
Impaired geometric properties of tibia in older women with hip fracture history
Mikkola, Tuija; Sipilä, Sarianna; Portegijs, Erja; Kallinen, Mauri; Alén, Markku; Kiviranta, Ilkka; Pekkonen, Mika; Heinonen, Ari (2007)Introduction The purpose of this study was to evaluate side-to-side differences in tibial mineral mass and geometry after hip fracture, and to assess the determinants of such differences. Methods Thirty-eight 60- to ... -
Uniform ergodicity of the iterated conditional SMC and geometric ergodicity of particle Gibbs samplers
Andrieu, Christophe; Lee, Anthony; Vihola, Matti (International Statistical Institute; Bernoulli Society for Mathematical Statistics and Probability, 2018)We establish quantitative bounds for rates of convergence and asymptotic variances for iterated conditional sequential Monte Carlo (i-cSMC) Markov chains and associated particle Gibbs samplers [J. R. Stat. Soc. Ser. B. ...
Ellei toisin mainittu, julkisesti saatavilla olevia JYX-metatietoja (poislukien tiivistelmät) saa vapaasti uudelleenkäyttää CC0-lisenssillä.