# Finite Coherence Length of Thermal Noise in Percolating Systems

Source: [Finite Coherence Length of Thermal Noise in Percolating Systems](<https://www.sota2.com/research/paper/68fa261c2c2a3760193b6ab3>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:09:37.332Z

Authors: K. K. Bardhan, C. D. Mukherjee

Published: 2003-03-20T05:57:13.000Z

## Abstract

Noise has been measured in two types of coductor-insulator mixtures as a function of bias and composition. It was marked by a huge increase in magnitude as the resistance increased only slightly due to Joule heating. The noise (resistance) current scale $I\_s$($I\_r$) for nonlinearity were found to scale with the linear resistance $R\_o$ as $I\_s(I\_r) \\sim {{R\_o}^ {-x\_s(x\_r)}}$ where the exponent $x\_s$ is equal to 0.80 and 0.68 in carbon-wax and carbon-polyethylene respectively and $x\_r \\approx 0.5$. It is shown that the large increase of noise in nonohmic regime as well as the differences between the noise and resistance exponents are due to the finite-sized inequilibrium thermal fluctuations whose coherence length is same as the correlation length of the underlying percolating systems. A expression for $x\_s$ is derived.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0303408>)

[PDF](<https://arxiv.org/pdf/cond-mat/0303408.pdf>)