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Updated: Jun 8, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Maximum entropy distributions of scale-invariant processes
Veronica Nieves1, Jingfeng Wang, Rafael L Bras
1Department of Civil Environmental Engineering, University of California, Irvine, Irvine, California, USA. vnieves@uci.edu
Abstract:
Organizations of many variables in nature such as soil moisture and topography exhibit patterns with no dominant scales. The maximum entropy (ME) principle is proposed to show how these variables can be statistically described using their scale-invariant properties and geometric mean. The ME principle predicts with great simplicity the probability distribution of a scale-invariant process in terms of macroscopic observables. The ME principle offers a universal and unified framework for characterizing such multiscaling processes.
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