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Fluctuation Profiles in Inhomogeneous Fluids.

Tobias Eckert1, Nico C X Stuhlmüller1, Florian Sammüller1

  • 1Theoretische Physik II, Physikalisches Institut, Universität Bayreuth, D-95447 Bayreuth, Germany.

Physical Review Letters
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Summary
This summary is machine-generated.

Local fluctuations in energy, entropy, and particle number describe classical many-body systems. These profiles, derived from density and covariances, differ across various confined fluid interactions.

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Area of Science:

  • Statistical Mechanics
  • Computational Physics

Background:

  • Classical many-body systems exhibit complex equilibrium properties.
  • Understanding local fluctuations is key to characterizing system behavior.

Purpose of the Study:

  • To introduce and utilize three one-body profiles for describing local fluctuations.
  • To analyze equilibrium properties of inhomogeneous classical many-body systems.

Main Methods:

  • Employing thermodynamic differentiation of density profiles.
  • Calculating average microscopic covariances.
  • Utilizing functional generators to derive fluctuation profiles.
  • Performing computer simulations of confined fluids.

Main Results:

  • Developed three distinct one-body profiles for energy, entropy, and particle number fluctuations.
  • Demonstrated that these profiles satisfy Ornstein-Zernike relations.
  • Observed significantly different fluctuation behaviors in confined Lennard-Jones, hard sphere, and Gaussian core fluids.

Conclusions:

  • The proposed one-body fluctuation profiles effectively describe equilibrium properties.
  • The study highlights the impact of inter-particle interactions on local fluctuations in confined systems.