Universality in ratchets without spatial asymmetry
R. Chacon
TL;DR
This paper reveals a universal force waveform that optimizes directed transport in ratchet systems by symmetry breaking, providing scaling laws and criteria applicable across diverse systems.
Contribution
It introduces a universal force waveform and scaling laws for optimizing ratchet-induced transport, unifying previous results across various systems.
Findings
Identifies a universal waveform for symmetry-breaking forces.
Derives scaling laws explaining transport enhancement.
Provides a quantitative criterion for optimizing ratchet effects.
Abstract
It is demonstrated that to optimally enhance directed transport by symmetry breaking of temporal forces there exists a universal force waveform which allows to deduce universal scaling laws that explain previous results for a great diversity of systems subjected to a standard biharmonic force and provide a universal quantitative criterion to optimize any application of the ratchet effect induced by symmetry breaking of temporal forces.
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Taxonomy
TopicsGene Regulatory Network Analysis · Protein Structure and Dynamics · Mathematical Dynamics and Fractals