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Studying Cavitation Enhanced Therapy

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Published on: April 9, 2021

Cumulative distribution functions associated with bubble-nucleation processes in cavitation.

Hiroshi Watanabe¹, Masaru Suzuki, Nobuyasu Ito

¹Supercomputing Division, Information Technology Center, The University of Tokyo, 2-11-16 Yayoi, Bunkyo, Tokyo 113-8658, Japan. watanabe@cc.u-tokyo.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|January 15, 2011

Summary

Molecular dynamics simulations reveal bubble nucleation in superheated liquids is not a simple Poisson process. Accounting for relaxation time corrects finite-size effects on nucleation rates, improving accuracy.

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Area of Science:

Thermodynamics and Statistical Mechanics
Computational Physics

Background:

Bubble nucleation is a critical phenomenon in phase transitions.
Understanding nucleation dynamics is essential for various physical and chemical processes.
Previous studies often assumed simple Poisson processes for nucleation events.

Purpose of the Study:

To investigate bubble nucleation in a Lennard-Jones liquid using molecular dynamics simulations.
To analyze the waiting time distributions and finite-size effects on nucleation rates.
To develop a more accurate model for bubble nucleation processes.

Main Methods:

Molecular dynamics simulations were performed on a Lennard-Jones liquid.
Waiting times for bubble nucleation events were calculated for various system sizes.
Cumulative distribution functions were analyzed to characterize the nucleation process.
A modified Poisson process incorporating relaxation time was developed.

Main Results:

An apparent finite-size effect on the nucleation rate was observed.
The bubble nucleation process deviates from a simple Poisson process, exhibiting a relaxation time.
By accounting for this relaxation time, the apparent finite-size effect was successfully removed.
The parameters of the exponential distribution governing nucleation were refined.

Conclusions:

The nucleation rate estimation can be inaccurate if based solely on the arithmetic mean of waiting times.
A revised model incorporating relaxation time provides a more accurate description of bubble nucleation.
These findings have implications for understanding phase transitions and fluid dynamics.