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Related Experiment Video

Updated: Jun 29, 2025

Scattering And Absorption of Light in Planetary Regoliths

Scattering And Absorption of Light in Planetary Regoliths

Published on: July 1, 2019

Scattering spectra models for physics.

Sihao Cheng¹, Rudy Morel², Erwan Allys³

¹School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA.

|April 1, 2024

Summary

This summary is machine-generated.

Physicists can now use scattering spectra models for accurate statistical descriptions of complex physical fields, even with limited data. These models offer robust, low-dimensional representations for various applications.

Keywords:

Gibbs energy reduced models wavelets

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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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Last Updated: Jun 29, 2025

Scattering And Absorption of Light in Planetary Regoliths

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Published on: July 1, 2019

In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation

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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Area of Science:

Physics
Statistical Mechanics
Data Science

Background:

Probabilistic models are crucial for physicists in tasks like parameter inference and field generation.
Modeling highly non-Gaussian fields is challenging, particularly with limited sample sizes.

Purpose of the Study:

Introduce scattering spectra models for stationary fields.
Demonstrate their accuracy and robustness in describing diverse physical fields.
Provide a low-dimensional, structured representation for various physics applications.

Main Methods:

Developed scattering spectra models based on covariances of scattering coefficients.
Utilized wavelet decomposition coupled with a pointwise modulus.
Applied dimension reduction techniques leveraging field regularity under rotation and scaling.

Main Results:

Scattering spectra models provide accurate and robust statistical descriptions for a wide range of physical fields.
Validated models on various multiscale physical fields.
Demonstrated reproduction of standard statistics, including spatial moments up to the fourth order.

Conclusions:

Scattering spectra offer a powerful, low-dimensional representation of physical fields.
These generic models are applicable to data exploration, classification, parameter inference, and component separation.
The models address the challenge of modeling non-Gaussian fields with limited data.