Exactly solvable nonequilibrium Langevin relaxation of a trapped nanoparticle
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Publication:3178682
DOI10.1088/1751-8113/49/46/465001zbMATH Open1361.82045arXiv1605.02767OpenAlexW2360473268MaRDI QIDQ3178682
Author name not available (Why is that?)
Publication date: 6 December 2016
Published in: (Search for Journal in Brave)
Abstract: In this work, we study the nonequilibrium statistical properties of the relaxation dynamics of a nanoparticle trapped in a harmonic potential. We report an exact time-dependent analytical solution to the Langevin dynamics that arises from the stochastic differential equation of our system's energy in the underdamped regime. By utilizing this stochastic thermodynamics approach, we are able to completely describe the heat exchange process between the nanoparticle and the surrounding environment. As an important consequence of our results, we observe the validity of the heat exchange fluctuation theorem (XFT) in our setup, which holds for systems arbitrarily far from equilibrium conditions. By extending our results for the case of noninterating nanoparticles, we perform analytical asymptotic limits and direct numerical simulations that corroborate our analytical predictions.
Full work available at URL: https://arxiv.org/abs/1605.02767
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