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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

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Pair correlation function integrals: computation and use.

Rasmus Wedberg¹, John P O'Connell, Günther H Peters

¹CAPEC - Department of Chemical and Biochemical Engineering, Søltofts Plads, Building 229, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark.

The Journal of Chemical Physics

|September 8, 2011

Summary

This summary is machine-generated.

This study presents a novel method to accurately extend radial distribution functions from molecular simulations to any distance. This technique improves the calculation of total correlation function integrals, even for smaller simulation systems.

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Area of Science:

Computational chemistry
Statistical mechanics
Physical chemistry

Background:

Radial distribution functions (RDFs) are crucial for understanding molecular interactions.
Calculating RDFs accurately from molecular simulations can be limited by system size and sampling.
Extending RDFs to long distances is essential for reliable thermodynamic property calculations.

Purpose of the Study:

To develop and thoroughly describe a method for extending radial distribution functions to arbitrary distances.
To enable reliable calculation of total correlation function integrals from molecular simulations of small systems.
To provide a more accurate alternative to simple integral truncation for RDF analysis.

Main Methods:

The method extends RDFs by imposing long-distance approximations on direct correlation functions.
Theoretical basis for these long-distance approximations is derived.
Numerical implementation details are provided, along with complementary numerical tests.

Main Results:

The extended RDF method allows reliable calculation of total correlation function integrals.
Isothermal compressibilities for pure molecular fluids were evaluated and compared with volume fluctuation methods.
The integration method proved more reliable and accurate than simple truncation for systems with structure beyond sampling limits.

Conclusions:

The described method effectively extends radial distribution functions, enhancing the accuracy of thermodynamic property calculations.
This approach overcomes limitations of system size in molecular simulations.
The method offers a robust and accurate way to analyze molecular fluid behavior from simulation data.