Perturbation theory for stochastic nonlinear oscillators and Feynman diagram

Pal, Akshay; Bhattacharjee, Jayanta, K

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/8210

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DC Field	Value	Language
dc.contributor.author	Pal, Akshay	-
dc.contributor.author	Bhattacharjee, Jayanta, K	-
dc.date.accessioned	2024-01-30T06:11:49Z	-
dc.date.available	2024-01-30T06:11:49Z	-
dc.date.issued	2023-12	-
dc.identifier.citation	Annals of Physics, 2023, Vol.459, p169495	en_US
dc.identifier.issn	0003-4916 (print)	-
dc.identifier.issn	1096-035X (online)	-
dc.identifier.uri	http://hdl.handle.net/2289/8210	-
dc.description	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)	en_US
dc.description.abstract	We show that a systematic perturbation theory for the class of stochastically driven nonlinear oscillator ̈ 𝑥 + 2𝛤 ̇ 𝑥 + 𝜔20 𝑥 + 𝜇𝑥2 + 𝜆𝑥3 = 𝑓(𝑡) where f(t) is a Gaussian white noise can be effectively developed by writing down the relevant Feynman diagrams using response function and correlation functions. For 𝜇 = 0, we find that the response function acquires a non- Lorentzian shape at 𝑂(𝜆2). This is a qualitative shift in the response. For 𝜆 << 1 and 𝜇 ≠ 0, we show that a particle located at the minimum of a potential well can cross the barrier within a perturbative approach.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier	en_US
dc.relation.uri	http://arxiv.org/abs/	en_US
dc.relation.uri	https://doi.org/10.1016/j.aop.2023.169495	en_US
dc.relation.uri	http://adsabs.harvard.edu/abs/	en_US
dc.rights	2023, The Publisher	en_US
dc.subject	Non linear oscillators	en_US
dc.subject	Stochastic processes	en_US
dc.subject	Feynman Diagrams	en_US
dc.subject	Linear response theory	en_US
dc.subject	Langevin Equation	en_US
dc.title	Perturbation theory for stochastic nonlinear oscillators and Feynman diagram	en_US
dc.type	Article	en_US
Appears in Collections:	Research Papers (TP)

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