How a molecular motor moves in a network

A new study determines the efficiency of a single-molecule heat engine by considering a series of ratchets that transfer energy along a network.

New York | Heidelberg, 24 July 2023

From internal combustion engines to household refrigerators, heat engines are a ubiquitous component of daily life. These machines convert heat into usable energy which can then be used to do work. Heat engines can be as small as a single molecule whose random movements exchange energy with the environment. But determining the efficiency of a molecular heat engine is no simple task. In a study published in EPJ B, Mesfin Asfaw Taye, of West Los Angeles College, California, USA now calculates the performance of a molecular heat engine in terms of a series of molecular ratchets that transfer energy, step-wise, in one direction. He shows and discusses how to manipulate such a system for transporting a particle along a complex path.

Taye and his colleagues have previously invoked the concept of a “Brownian ratchet” to calculate the velocity, efficiency, and overall performance of a molecular heat engine. Here, a particle (the motor) changes position through thermal motion according to a mechanism that forces an otherwise randomly moving object to travel in one direction only.

Now Taye and his group provide a complete analytical solution to their model equations, that allows them to calculate the system’s performance at every time along the way. Doing so provides a way to examine how the ratchet arrangement impacts the motor’s efficiency and velocity. They also show that a motor operating in a heat bath with gradually decreasing temperature can lead to higher velocity but lower efficiency compared to a system with fixed hot and cold baths—another tool for manipulating the motor’s movement.

This finding provides a framework for studying the thermodynamic features of protein-based molecular motors and other micro- and nano-scale systems known to convert chemical energy into mechanical motion. It offers a way of transporting a particle to a desired location in a network at a speed that depends on the arrangement of the ratchets.

Reference: Taye, M.A. Time-dependent solutions for efficiency and velocity of a Brownian heat engine that operates in a two-dimensional lattice coupled with a nonuniform thermal background. Eur. Phys. J. B 96:65 (2023). https://doi.org/10.1140/epjb/s10051-023-00533-y