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Bond Breaking Kinetics in Mechanically Controlled Break Junction Experiments: A Bayesian Approach.

Dylan Dyer1, Oliver L A Monti1,2

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Understanding the complete lifetime distribution is crucial for accurate statistical analysis in atomic-scale experiments. Bayesian reasoning provides a robust method for re-evaluating kinetic parameters in gold atomic point contacts.

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Area of Science:

  • Atomic and Molecular Scale Physics
  • Electronic and Spintronic Properties
  • Statistical Mechanics

Background:

  • Break junction experiments are vital for probing electronic and spintronic properties at the atomic scale.
  • These experiments inherently produce broad, asymmetric data distributions requiring advanced statistical interpretation.
  • Previous methods often relied on incomplete statistical analysis, limiting the reliability of derived parameters.

Purpose of the Study:

  • To demonstrate the essential role of complete lifetime distribution analysis in atomic-scale break junction experiments.
  • To re-evaluate key kinetic parameters, including transition state distance (x‡), free energy barrier (ΔG‡), and free energy surface curvature (v).
  • To introduce and validate a Bayesian reasoning approach for enhanced statistical interpretation of stochastic experimental data.

Main Methods:

  • Application of Bayesian reasoning to analyze experimental data from gold (Au) atomic point contacts.
  • Maximal utilization of all measured data to derive reliable estimates of kinetic parameters.
  • Development of analytical models for broad and asymmetric data distributions.

Main Results:

  • Complete lifetime distribution analysis significantly improves the reliability of estimated kinetic parameters.
  • Bayesian reasoning enables robust estimation of x‡, ΔG‡, and v for Au atomic point contacts.
  • The proposed method requires less experimental effort and fewer assumptions compared to existing techniques.

Conclusions:

  • A comprehensive statistical interpretation, including complete lifetime distributions, is essential for accurate analysis of atomic-scale break junction data.
  • Bayesian reasoning offers a powerful and generalizable framework for interpreting stochastic data with broad, asymmetric distributions.
  • This approach leads to a significant reassessment of kinetic parameters in paradigmatic atomic-scale structures like Au point contacts.