https://doi.org/10.1140/epjb/e2018-80624-9
Regular Article
Coupled Brownian motors★
1
IFIMAR (UNMdP&CONICET), Univ. Nac. de Mar del Plata,
Deán Funes 3350,
B7602AYL
Mar del Plata, Argentina
2
IFISC (UIB&CSIC), Univ. de les Illes Balears,
Carretera de Valldemosa, km 7,5,
07122
Palma de Mallorca, Spain
3
IFCA (UC&CSIC), Univ. de Cantabria,
Avda. de los Castros, s/n,
39005
Santander, Spain
a e-mail: julian@ifimar-conicet.gob.ar
Received:
31
October
2017
Received in final form:
20
February
2018
Published online: 6
June
2018
A set of coupled Brownian motors—resulting from a noise-induced phase transition generated through an entropic mechanism, and formerly studied in mean-field approximation—is numerically integrated by Heun’s method. The results add much insight to the mean-field ones, allowing interpretation of the underlying mechanisms. It turns out that the low-noise boundary of the ordered phase obtained in mean-field approximation lies near a region where the order parameter is negative. Hints of bistability and negative mobility around F = 0 are seen in two cases, and anomalous hysteresis is confirmed in one case.
© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2018