Physics

Trajectory

Current (fluid)

Langevin dynamics

Mathematics

Entropy (arrow of time)

Statistical physics

Statistics

Mathematical optimization

Astronomy

Macroeconomics

Mathematical analysis

Markov process

Economics

Entropy production

Production (economics)

Computer science

Jump

Quantum mechanics

Applied mathematics

Upper and lower bounds

Thermodynamics

Physical review. E

This paper demonstrates a procedure to estimate entropy production in stochastic systems based on the thermodynamic uncertainty relations. It uses an optimal current, which minimizes the relative current fluctuation, and which may be calculated from a single trajectory of system states. The procedure provides the tightest lower bound for entropy production in Markov jump processes and an exact value for overdamped Langevin dynamics.

Entropy production estimation with optimal current