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arXiv · 2201.04520

Aging in the transport on the corrugated ratchet potential

Karina I Mazzitello·Daniel G Zarlenga·Fereydoon Family·Constancio M Arizmendi
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Abstract

Under rapid undercooling, glass forming liquids freeze in an amorphous state that can equilibrate only on enormously long time-scales, This is the characteristic sign of aging, which has been observed in a wide range of systems. Brownian ratchet is a widely studied system that exhibits many types of anomalous dynamical behavior. We have investigated the possibility of aging in the collective motion of Brownian particles in a periodic ratchet potential with quenched disorder. We find that when a slowly growing fraction of particles are trapped for long time, the collective movement tends to become super-diffusive. The super-diffusive transport weakly breaks the ergodicity and the time to cover the whole phase space become enormously long and reminiscent of aging behavior.

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Karina I Mazzitello, Daniel G Zarlenga, Fereydoon Family, Constancio M Arizmendi. 2022-01-12. Aging in the transport on the corrugated ratchet potential. https://doi.org/10.1088/1742-5468%2Facaf82

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