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We perform first principles numerical simulations to investigate resistancefluctuations in mesoscopic samples, near the transition between consecutiveQuantum Hall plateaus. We use six-terminal geometry and sample sizes similar tothose of real devices. The Hall and longitudinal resistances extracted from thegeneralized Landauer formula reproduce all the experimental features uncoveredrecently. We then use a simple generalization of the Landauer-B\"uttiker model,based on the interplay between tunneling and chiral currents -- the co-existingmechanisms for transport -- to explain the three distinct types of fluctuationsobserved, and identify the central region as the critical region.Comment: changes to acknowledgements onl

Resistance fluctuations near integer quantum Hall transitions in mesoscopic samples