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SUMMARY:Open Problem/Discussion: Biased random walks on random networks: H
 ow space heterogeneity impacts transport properties - Shamik Gupta (Tata I
 nstitute of Fundamental Research)
DTSTART:20230815T101500Z
DTEND:20230815T110000Z
UID:TALK204061@talks.cam.ac.uk
DESCRIPTION:In the context of transport in heterogeneous space\, we study 
 biased random walkers on random networks constituted by a random comb that
  has a backbone with quenched-disordered random-length branches. The conse
 quences are drastic: the drift velocity of the walkers varies non-monotoni
 cally as a function of the bias\, and it becomes zero beyond a critical bi
 as ! We demonstrate these effects on the basis of exact results for the st
 ationary state for any disorder realization of branch lengths sampled foll
 owing an arbitrary distribution. We derive along the way a criterion for o
 bserving a non-monotonic drift velocity. Further\, we show that stochastic
  resetting of walkers from branches to the backbone allows the system to h
 ave a drift velocity that is finite at any bias.
LOCATION:Seminar Room 2\, Newton Institute
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