title: High-temperature ratchets with sawtooth potentials.
abstract: The concept of the effective potential is suggested as an efficient instrument to get a uniform analytical description of stochastic high-temperature on-off flashing and rocking ratchets. The analytical representation for the average particle velocity, obtained within this technique, allows description of ratchets with sharp potentials (and potentials with jumps in particular). For sawtooth potentials, the explicit analytical expressions for the average velocity of on-off flashing and rocking ratchets valid for arbitrary frequencies of potential energy fluctuations are derived; the difference in their high-frequency asymptotics is explored for the smooth and cusped profiles, and profiles with jumps. The origin of the difference as well as the appearance of the jump behavior in ratchet characteristics are interpreted in terms of self-similar universal solutions which give the continuous description of the effect. It is shown how the jump behavior in motor characteristics arises from the competition between the characteristic times of the system.
authors.affiliation: Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 106, Taiwan.|Department of Applied Chemistry, National Chiao Tung University, 1001 Ta Hsuen Road, Hsinchu, Taiwan.|Chuiko Institute of Surface Chemistry, National Academy of Sciences of Ukraine, Generala Naumova street 17, Kiev, 03164, Ukraine.
authors.forename: Viktor M
authors.initials: VM
authors.lastname: Rozenbaum
authors.affiliation: Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 106, Taiwan.|Department of Applied Chemistry, National Chiao Tung University, 1001 Ta Hsuen Road, Hsinchu, Taiwan.|Department of Physics, Belarusian State University, Prospekt Nezavisimosti 4, 220050 Minsk, Belarus.
authors.forename: Irina V
authors.initials: IV
authors.lastname: Shapochkina
authors.affiliation: Department of Life Sciences and Institute of Genome Sciences, Institute of Biomedical Informatics, National Yang-Ming University, Taipei 112, Taiwan.
authors.forename: Sheh-Yi
authors.initials: SY
authors.lastname: Sheu
authors.affiliation: Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 106, Taiwan.
authors.forename: Dah-Yen
authors.initials: DY
authors.lastname: Yang
authors.affiliation: Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 106, Taiwan.|Department of Applied Chemistry, National Chiao Tung University, 1001 Ta Hsuen Road, Hsinchu, Taiwan.
authors.forename: Sheng Hsien
authors.initials: SH
authors.lastname: Lin