Category: Statistics

Summary: Testing whether an intermediate anti-correlation around a favored transport channel best suppresses geodesic wandering and passage cost.

In directed first-passage percolation, a low-cost channel can guide optimal paths, but the surrounding disorder still determines how reliably paths stay inside it. This experiment asks whether a moderate anti-correlation between channel costs and nearby disorder outperforms both independent disorder and very strong anti-correlation.

The simulations compare path cost and wandering across disorder regimes in which the channel and its surroundings are coupled with different negative correlation strengths. The target phenomenon is a crossover: too little anti-correlation leaves the channel too noisy to dominate, while too much creates sharp interfaces that force detours.

That makes the project about identifying an interior optimum rather than a single monotone threshold. It links transport efficiency to structured disorder around a preferred route.

Method: Repeated directed first-passage percolation simulations comparing geodesics across channel-surroundings anti-correlation strengths.

What is measured: Passage cost, geodesic wandering, channel-holding performance, and evidence for an intermediate best anti-correlation.