"We propose a new definition of natural invariant measure for trajectory segments of finite duration for a many-particle system. On this basis we give an expression for the probability of fluctuations in the shear stress of a fluid in a nonequilibrium steady state far from equilibrium. In particular we obtain a formula for the ratio that, for a finite time, the shear stress reverse sign, violating the second law of thermodynamics. Computer simulations support this formula."
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.71.2401
Here's another example:
"We experimentally demonstrate the fluctuation theorem, which predicts appreciable and measurable violations of the second law of thermodynamics for small systems over short time scales, by following the trajectory of a colloidal particle captured in an optical trap that is translated relative to surrounding water molecules. From each particle trajectory, we calculate the entropy production/consumption over the duration of the trajectory and determine the fraction of second law–defying trajectories. Our results show entropy consumption can occur over colloidal length and time scales."
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.71.2401
Message Thread
- DFM October 9, 2020, 5:18 am
- urnlfn October 9, 2020, 5:29 am
« Back to index