Energy spectrum of a Langevin oscillator

Mishin, Y.; Hickman, J.

doi:10.1103/physreve.94.062151

Title: Energy spectrum of a Langevin oscillator

Journal Article · Fri Dec 30 00:00:00 EST 2016 · Physical Review. E

DOI:https://doi.org/10.1103/physreve.94.062151· OSTI ID:1536407

Mishin, Y. ^[1]; Hickman, J. ^[1]

George Mason Univ., Fairfax, VA (United States). Dept. of Physics and Astronomy

We derive analytical solutions for the autocorrelation and cross-correlation functions of the kinetic, potential, and total energy of a Langevin oscillator. These functions are presented in both the time and frequency domains and validated by independent numerical simulations. The results are applied to address the long-standing issue of temperature fluctuations in canonical systems.

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Research Organization:: George Mason Univ., Fairfax, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-01ER45871

OSTI ID:: 1536407

Alternate ID(s):: OSTI ID: 1338129

Journal Information:: Physical Review. E, Vol. 94, Issue 6; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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References (24)

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Cited By (2)

Variable-order modeling of nonlocal emergence in many-body systems: Application to radiative dispersion Orosco, J.; Coimbra, C. F. M. Physical Review E, Vol. 98, Issue 3 https://doi.org/10.1103/physreve.98.032208	journal	September 2018
Temperature fluctuations in canonical systems: Insights from molecular dynamics simulations Hickman, J.; Mishin, Y. arXiv https://doi.org/10.48550/arxiv.1609.03646	text	January 2016

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