Noise and Thermodynamic Uncertainty Relation in "Underwater" Molecular Junctions

Abstract

We determine the zero-frequency charge current noise in a metal-molecule-metal junction embedded in a thermal environment, e.g., a solvent, dominated by sequential charge transmission described by a classical master equation, and study its dependence of specific model parameters, i.e., the environmental reorganization energy and relaxation behavior. Interestingly, the classical current noise term has the same structure as its quantum analog which reflects a charge correlation due to the bridging molecule. We further determine the thermodynamic uncertainty relation (TUR) which defines a bound on the relationship between the average charge current, its fluctuation and the entropy production in an electrochemical junction in the Marcus regime. In a second part, we use the same methodology to calculate the current noise and the TUR for a protoype photovoltaic cell in order to predict its upper bound for the efficiency of energy conversion into useful work.

(in press)

References in corpus (9)

• Thermodynamic uncertainty relation for biomolecular processes
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Cost and Precision of Brownian Clocks
• Universal bound on the efficiency of molecular motors
• Current induced light emission and light induced current in molecular tunneling junctions
• Thermodynamic uncertainty relation in quantum thermoelectric junctions
• Optical properties of current carrying molecular wires
• Marcus Theory of Thermoelectricity in Molecular Junctions
• Energy Transfer and Thermoelectricity in Molecular Junctions in Non-Equilibrated Solvents