Abstract
We introduce a model of binary data corruption induced by a Brownian agent (active random walker) on a d-dimensional lattice. A continuum formulation allows the exact calculation of several quantities related to the density of corrupted bits [Formula Presented], for example, the mean of [Formula Presented] and the density-density correlation function. Excellent agreement is found with the results from numerical simulations. We also calculate the probability distribution of [Formula Presented] in [Formula Presented], which is found to be log normal, indicating that the system is governed by extreme fluctuations.
| Original language | English |
|---|---|
| Pages (from-to) | 5172-5186 |
| Number of pages | 15 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 59 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1999 |
| Externally published | Yes |
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