What question did this study set out to answer?

To generalize the theory of fluctuations in thermodynamic variables to nonthermodynamic variables and to present applications in computational contexts.

January 5, 1967Physical Review

Ensemble Dependence of Fluctuations with Application to Machine Computations

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To generalize the theory of fluctuations in thermodynamic variables to nonthermodynamic variables and to present applications in computational contexts.
Analyzed mean-square fluctuations of kinetic energy in a classical microcanonical ensemble under fixed energy conditions.
Derived general results based on asymptotic behavior of Ursell functions across various ensembles.
Explored applications in molecular dynamic computations linking time averages to phase averages.
Mean-square fluctuations of kinetic energy relate to temperature and specific heat, aiding in computational models.
Findings improve the understanding of dynamic behavior in fixed energy and momentum ensembles.
Results provide insights into time-dependent correlations relevant for computational physics.

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Implication

Randomized trial examines fluctuations in kinetic energy during molecular dynamics computations, suggesting applications in understanding thermodynamic processes.

Cite This Study

Lebowitz et al. (1967) studied this question.

synapsesocial.com/papers/6a06f339d9167a9c2a583a22 https://doi.org/10.1103/physrev.153.250

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Implication

Randomized trial examines fluctuations in kinetic energy during molecular dynamics computations, suggesting applications in understanding thermodynamic processes.

Ensemble Dependence of Fluctuations with Application to Machine Computations

Key Points

Discussion

Implication

Cite This Study

Ensemble Dependence of Fluctuations with Application to Machine Computations

Key Points

Discussion

Implication

Cite This Study

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