Abstract
The thermodynamic uncertainty relation (TUR) quantifies a relationship between current fluctuations and dissipation in out-of-equilibrium overdamped Langevin dynamics, making it a natural counterpart of the fluctuation-dissipation theorem in equilibrium statistical mechanics. For underdamped Langevin dynamics, the situation is known to be more complicated with dynamical activity also playing a role in limiting the magnitude of current fluctuations. Progress on those underdamped TUR-like bounds has largely come from applications of the information-theoretic Cramér-Rao inequality. Here, we present an alternative perspective by employing large deviation theory. The approach offers a general unified treatment of TUR-like bounds for both overdamped and underdamped Langevin dynamics built upon current fluctuations achieved by scaling time. The bounds we derive following this approach are similar to known results but with differences we discuss and rationalize.
| Original language | English (US) |
|---|---|
| Article number | 024128 |
| Journal | Physical Review E |
| Volume | 106 |
| Issue number | 2 |
| DOIs | |
| State | Published - Aug 2022 |
Funding
We gratefully acknowledge H. Vroylandt and P. Pietzonka for insightful discussions. An anonymous referee was instrumental in prompting us to develop an approach that scaled temperature along with time so as to resolve a divergence that appeared in our initial draft. Research reported in this paper was supported by the Gordon and Betty Moore Foundation through Grant No. GBMF10790.
ASJC Scopus subject areas
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability