Exact Universal Excitation Waveform for Optimal Enhancement of Directed Ratchet Transport

DOI10.1142/S0218127421501091zbMath1484.82038arXiv1901.03119OpenAlexW3176824122MaRDI QIDQ4997476

Pedro J. Martínez, Ricardo Chacón

Publication date: 29 June 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.03119

zbMATH Keywords

ratchet effectcriticality scenarioexact universal waveform

Mathematics Subject Classification ID

Brownian motion (60J65) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamic critical phenomena in statistical mechanics (82C27) Fokker-Planck equations (35Q84)

Cites Work

• Unnamed Item
• The Fokker-Planck equation. Methods of solution and applications
• Struktur der Materie
• The optimal driving waveform for overdamped, adiabatic rocking ratchets
• Criticality-induced universality in ratchets
• Optimal modulation of a Brownian ratchet and enhanced sensitivity to a weak external force
• Optimal control of ratchets without spatial asymmetry
• Brownian motors: noisy transport far from equilibrium

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