English

Effects of symmetry on coupled rotary molecular motors

Statistical Mechanics 2026-02-09 v2

Abstract

As engineering advances toward the nanoscale, understanding design principles for molecular motors becomes increasingly valuable. Many molecular motors consist of coupled components transducing one free-energy source into another. Here, we study the performance of coupled rotary molecular motors with different rotational symmetries under constant and scaling driving forces. Under constant driving and strong coupling, symmetry match between the motors decreases the output power. In contrast, under a scaling driving force, the output power is not sensitive to symmetries. However, driving the upstream motor too strongly reduces the downstream motor's output power, leading to a perhaps counterintuitive phenomenon we term disruption, in which the two motors become disconnected. Across both driving schemes, output power peaks at intermediate coupling, confirming the value of flexible coupling. Beyond providing insights into biological motors, these findings could inform the future design of synthetic nanomotors and structure-based drugs.

Keywords

Cite

@article{arxiv.2508.03869,
  title  = {Effects of symmetry on coupled rotary molecular motors},
  author = {Sara Iranbakhsh and David A. Sivak},
  journal= {arXiv preprint arXiv:2508.03869},
  year   = {2026}
}

Comments

Main text: 7 pages and 5 figures; SM: 8 pages and 9 figures