The “free” quantum brownian particle as a non-fock linear bosonic system

1998 ◽  
Vol 116 (2) ◽  
pp. 896-906
Author(s):  
A. I. Oksak ◽  
A. D. Sukhanov
Keyword(s):  
Brownian Particle ◽  
Bosonic System

scholarly journals Shift a laser beam back and forth to exchange heat and work in thermodynamics

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
John A. C. Albay ◽  
Zhi-Yi Zhou ◽  
Cheng-Hung Chang ◽  
Yonggun Jun
Keyword(s):  
Optical Feedback ◽  
Brownian Particle ◽  
Time Varying ◽  
Optical Technique ◽  
Work Related ◽  
Engine Efficiency ◽  
Confining Potential ◽  
Equipartition Theorem ◽  
Virtual Temperature ◽  
High Flexibility

AbstractAlthough the equivalence of heat and work has been unveiled since Joule’s ingenious experiment in 1845, they rarely originate from the same source in experiments. In this study, we theoretically and experimentally demonstrated how to use a high-precision optical feedback trap to combine the generation of virtual temperature and potential to simultaneously manipulate the heat and work of a small system. This idea was applied to a microscopic Stirling engine consisting of a Brownian particle under a time-varying confining potential and temperature. The experimental results justified the position and the velocity equipartition theorem, confirmed several theoretically predicted energetics, and revealed the engine efficiency as well as its trade-off relation with the output power. The small theory–experiment discrepancy and high flexibility of the swift change of the particle condition highlight the advantage of this optical technique and prove it to be an efficient way for exploring heat and work-related issues in the modern thermodynamics for small systems.

Exit times of a Brownian particle out of a convection roll

2020 ◽  
Vol 32 (9) ◽  
pp. 092010
Author(s):  
Qingqing Yin ◽  
Yunyun Li ◽  
Fabio Marchesoni ◽  
Tanwi Debnath ◽  
Pulak K. Ghosh
Keyword(s):  
Brownian Particle ◽  
Exit Times ◽  
Convection Roll

scholarly journals Kramers equation for a charged Brownian particle: The exact solution

2005 ◽  
Vol 355 (2-4) ◽  
pp. 274-282 ◽  
Author(s):  
Tania P. Simões ◽  
Roberto E. Lagos
Keyword(s):  
Exact Solution ◽  
Brownian Particle ◽  
Kramers Equation

scholarly journals Adiabatic Processes Realized with a Trapped Brownian Particle

2015 ◽  
Vol 114 (12) ◽  
Author(s):  
Ignacio A. Martínez ◽  
Édgar Roldán ◽  
Luis Dinis ◽  
Dmitri Petrov ◽  
Raúl A. Rica
Keyword(s):  
Brownian Particle ◽  
Adiabatic Processes

A perfect probe: Resonance of underdamped scaled Brownian motion

2021 ◽  
Author(s):  
Yuhui Luo ◽  
Chunhua Zeng ◽  
Baowen Li
Keyword(s):  
Brownian Motion ◽  
Single Particle ◽  
Brownian Particle ◽  
Bistable System ◽  
Velocity Autocorrelation Function ◽  
Interacting Particles ◽  
Velocity Autocorrelation ◽  
Spectrum Density ◽  
Coupling Strengths ◽  
And Diffusion

Abstract We numerically investigate the resonance of the underdamped scaled Brownian motion in a bistable system for both cases of a single particle and interacting particles. Through the velocity autocorrelation function (VACF) and mean squared displacement (MSD) of a single particle, we find that for the steady state, diffusions are ballistic at short times and then become normal for most of parameter regimes. However, for certain parameter regimes, both VACF and MSD suggest that the transition between superdiffusion and subdiffusion takes place at intermediate times, and diffusion becomes normal at long times. Via the power spectrum density corresponding to the transitions, we find that there exists a nontrivial resonance. For interacting particles, we find that the interaction between the probe particle and other particles can lead to the resonance, too. Thus we theoretically propose the system with the Brownian particle as a probe, which can detect the temperature of the system and identify the number of the particles or the types of different coupling strengths in the system. The probe is potentially useful for detecting microscopic and nanometer-scale particles and for identifying cancer cells or healthy ones.

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