Nonequilibrium thermodynamics for a harmonic potential moving in time

• Published in: Journal of the Korean Physical Society Vol. 83; no. 5; pp. 331 - 336
• Main Authors: Lee, Hyun Keun, Kwon, Youngchae, Kwon, Chulan
• Format: Journal Article
• Language: English
• Published: Seoul The Korean Physical Society 01.09.2023; Springer Nature B.V; 한국물리학회
• Subjects: Harmonic oscillators; Mathematical and Computational Physics; Mathematical and Statistical Physics; Nonequilibrium thermodynamics; Optical traps; Original Paper - General; Particle and Nuclear Physics; Physics; Physics and Astronomy; Theoretical; Thermodynamic equilibrium; Time dependence; 물리학; Fluctuation theorem; Non-equilibrium thermodynamics; Underdamped dynamics; Work resonance; Thermodynamic uncertainty relation
• ISSN: 0374-4884; 1976-8524
• DOI: 10.1007/s40042-023-00820-y

We investigate non-equilibrium thermodynamics externally driven by moving the center of harmonic potential in time. We present the theoretical formalism for an arbitrary motion in underdamped dynamics. We provide the formulas to find thermodynamic quantities such as work, heat and entropy production produced for time period, which are main quantities in non-equilibrium studies. For sinusoidal driving with external frequency Ω , we observe a resonance for work production where the average rate for infinite period is maximized at Ω = ω 0 that is the internal frequency of the harmonic oscillator. It may be used for an alternative way to measure the stiffness of an optical trap potential. We confirm the thermodynamic uncertainty relation newly found for underdamped dynamics subject to general time-dependent protocols for a specific example of driving.