Temperature Resistant Optimal Ratchet Transport

TL;DR

This paper demonstrates that stable optimal ratchet transport structures are resistant to temperature increases, with critical temperatures linked to transport efficiency, supported by numerical and analytical results across different models.

Contribution

It shows the temperature resistance of optimal ratchet transport structures and connects their stability to transport efficiency through numerical and analytical methods.

Findings

Optimal ratchet structures withstand reasonable temperatures.

Critical temperatures are connected to transport efficiency.

Results apply to both discrete and Langevin models.

Abstract

Stable periodic structures containing optimal ratchet transport, recently found in the parameter space dissipation versus ratchet parameter [PRL 106, 234101 (2011)], are shown to be resistant to reasonable temperatures, reinforcing the expectation that they are essential to explain the optimal ratchet transport in nature. Critical temperatures for their destruction, valid from the overdamping to close to the conservative limits, are obtained numerically and shown to be connected to the current efficiency, given here analytically. Results are demonstrated for a discrete ratchet model and generalized to the Langevin equation with an additional external oscillating force.