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This study introduces a new algorithm to determine interparticle force laws in amorphous systems using particle positions and pressure measurements. The method corrects for experimental errors, advancing force law determination in particle systems.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Materials Science

Background:

  • Determining interparticle forces is crucial for understanding amorphous systems.
  • Existing methods may lack accuracy or require extensive data.
  • Amorphous systems present unique challenges due to lack of long-range order.

Purpose of the Study:

  • To develop a novel algorithm for determining interparticle force laws in amorphous systems.
  • To enable the identification of force law coefficients from experimental data.
  • To incorporate error correction for experimental position measurements.

Main Methods:

  • Utilizing particle positions and system pressure as input.
  • Developing a computational algorithm based on Laurent polynomials.
  • Implementing a correction mechanism for experimental position errors.

Main Results:

  • Successfully determined coefficients for n(n+1)/2 distinct force laws for n constituent types.
  • Demonstrated the algorithm's ability to correct for experimental position inaccuracies.
  • Provided a practical method for inferring force laws from visual and pressure data.

Conclusions:

  • The proposed algorithm offers an efficient and robust method for force law determination in amorphous systems.
  • Correction for experimental errors enhances the reliability of results in real-world applications.
  • This approach has broad implications for experiments involving interacting particle systems.