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Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

Published on: January 9, 2017

Noise, Diffusion, and Hyperuniformity.

Daniel Hexner^1,2, Dov Levine¹

¹Department of Physics, Technion, Haifa 32000, Israel.

Physical Review Letters

|January 28, 2017

Summary

This summary is machine-generated.

We studied active-absorbing phase transitions in many-particle systems with a new center-of-mass conserving symmetry. Density fluctuations decay rapidly, driven by a noise-determinism balance, offering insights into hyperuniformity.

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Area of Science:

Statistical physics
Complex systems
Condensed matter theory

Background:

Many-particle systems exhibit phase transitions between active and absorbing states.
Existing models often conserve particles but lack additional symmetries.
Understanding fluctuation dynamics is crucial for characterizing critical phenomena.

Purpose of the Study:

To investigate driven many-particle models with a novel center-of-mass conserving symmetry.
To analyze the decay of density fluctuations in the active phase.
To explore the underlying mechanisms governing large-scale fluctuations at the critical point.

Main Methods:

Simulations of driven many-particle models.
Introduction of stochastic kicks conserving the center of mass during particle interactions.
Analysis of density fluctuation decay rates.
Theoretical arguments on the interplay of noise and deterministic terms.

Main Results:

Density fluctuations in the active phase decay at the fastest possible rate for disordered isotropic systems.
A competition between noise generation and deterministic reduction governs large-scale fluctuations.
The system exhibits unique dynamics due to the introduced symmetry.

Conclusions:

The novel symmetry leads to exceptionally fast fluctuation decay.
The findings provide a framework for understanding hyperuniformity at critical points.
Results have potential applications in shear experiments and complex system dynamics.