Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-12-12
Phys. Rev. E 67 (2003) 046102
Physics
Condensed Matter
Statistical Mechanics
20 pages, 3 figures
Scientific paper
10.1103/PhysRevE.67.046102
Recently Wang et al. carried out a laboratory experiment, where a Brownian particle was dragged through a fluid by a harmonic force with constant velocity of its center. This experiment confirmed a theoretically predicted work related integrated (I) Transient Fluctuation Theorem (ITFT), which gives an expression for the ratio for the probability to find positive or negative values for the fluctuations of the total work done on the system in a given time in a transient state. The corresponding integrated stationary state fluctuation theorem (ISSFT) was not observed. Using an overdamped Langevin equation and an arbitrary motion for the center of the harmonic force, all quantities of interest for these theorems and the corresponding non-integrated ones (TFT and SSFT, resp.) are theoretically explicitly obtained in this paper. While the (I)TFT is satisfied for all times, the (I)SSFT only holds asymptotically in time. Suggestions for further experiments with arbitrary velocity of the harmonic force and in which also the ISSFT could be observed, are given. In addition, a non-trivial long-time relation between the ITFT and the ISSFT was discovered, which could be observed experimentally, especially in the case of a resonant circular motion of the center of the harmonic force.
Cohen Ezechiel G. D.
Zon Ramses van
No associations
LandOfFree
Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-344399