The Transport Speed and Optimal Work in Pulsating Frenkel–Kontorova Models (CROSBI ID 275466)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Slijepčević, Siniša ; Rabar, Braslav
engleski
The Transport Speed and Optimal Work in Pulsating Frenkel–Kontorova Models
We consider a generalized one-dimensional chain in a periodic potential (the Frenkel–Kontorova model), with dissipative, pulsating (or ratchet) dynamics as a model of transport when the average force on the system is zero. We find lower bounds on the transport speed under mild assumptions on the asymmetry and steepness of the site potential. Physically relevant applications include explicit estimates of the pulse frequencies and mean spacings for which the transport is non-zero, and more specifically the pulse frequencies which maximize work. The bounds explicitly depend on the pulse period and subtle number-theoretical properties of the mean spacing. The main tool is the study of time evolution of spatially invariant measures in the space of measures equipped with the 𝐿1-Wasserstein metric.
Frenkel-Kontovora model, Transport processes, Ratchet dynamics, Pumping, Attractor, Invariant measures
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
371
2019.
399-423
objavljeno
0010-3616
1432-0916
10.1007/s00220-019-03577-3