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Related Concept Videos

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A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a uniform...
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Studying Large Amplitude Oscillatory Shear Response of Soft Materials
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Published on: April 25, 2019

Soft-sphere soft glasses.

D M Heyes1, S M Clarke, A C Brańka

  • 1BP Institute, Bullard Laboratories, University of Cambridge, Madingley Road, Cambridge CB3 OEZ, United Kingdom. d.heyes@imperial.ac.uk

The Journal of Chemical Physics
|December 2, 2009
PubMed
Summary
This summary is machine-generated.

Molecular dynamics simulations reveal how particle softness affects fluid properties. As particles become softer (lower n), the glass transition shifts, and transport properties like diffusion and viscosity change significantly.

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Area of Science:

  • Computational physics
  • Soft matter physics
  • Statistical mechanics

Background:

  • The soft-sphere pair potential (SSP) is a fundamental model for studying fluid behavior.
  • Understanding the influence of particle softness on thermodynamic and transport properties is crucial.

Purpose of the Study:

  • To investigate the physical properties of model fluids interacting via the SSP, particularly for small values of the exponent n.
  • To determine the equation of state, radial distribution function, and transport properties (self-diffusion, shear viscosity) as a function of particle softness and density.

Main Methods:

  • Molecular dynamics simulations were employed to compute physical properties.
  • The soft-sphere pair potential phi(r)=epsilon(sigma/r)(n) was used, with emphasis on small n values (approaching 3+).
  • A screened soft-sphere potential (SSSP) was introduced to analyze long-range potential effects.

Main Results:

  • An accurate two-term equation of state was derived for the SSP fluid.
  • The compressibility factor Z approaches Z=B(2)zeta(n/3) as n tends to 3+.
  • Self-diffusion (D) decreases by ~75% and shear viscosity (eta) increases by ~3x along the fluid-solid coexistence line as n decreases from infinity to 3.25.
  • The ideal glass transition shifts towards the solid phase with increasing particle softness (decreasing n).

Conclusions:

  • Particle softness significantly impacts fluid phase behavior and transport properties.
  • The SSP model provides a valuable framework for understanding these effects.
  • The SSSP offers a computationally efficient alternative for static properties and transport coefficients.