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Graded potentials are localized fluctuations in the cell membrane's electrical charge, commonly found in the dendrites of neurons. The magnitude of these potential changes depends on the strength of the initiating stimulus. In a membrane at its resting potential, a graded potential signifies a voltage shift either above -70 mV or below -70 mV.
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Is there a granular potential?

Josh M Gramlich1, Mahdi Zarif2, Richard K Bowles1,3

  • 1Department of Chemistry, University of Saskatchewan, Saskatoon, SK, S7H 0H1, Canada. richard.bowles@usask.ca.

Soft Matter
|February 1, 2023
PubMed
Summary
This summary is machine-generated.

Researchers developed a granular potential, analogous to chemical potential, for granular materials. This potential, along with compactivity, governs mass transport and equilibrium in granular systems, offering insights into their statistical mechanics.

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Area of Science:

  • Statistical mechanics applied to granular materials.
  • Thermodynamics of complex systems.

Background:

  • Granular materials share dynamic and structural similarities with molecular systems.
  • Existing efforts focus on developing statistical mechanics for granular systems, including analogues for ensembles and temperature.
  • Temperature is not a relevant variable for granular material properties.

Purpose of the Study:

  • To introduce and explore the properties of a granular potential within the Edwards ensemble.
  • To establish an analogue for chemical potential in granular systems.
  • To investigate mass transport, equilibrium, and entropy changes in granular systems using this new potential.

Main Methods:

  • Introduction of a granular potential into the Edwards ensemble.
  • Simulation using kinetic Monte Carlo methods on a simple granular model.
  • Exact analytical treatment of the model.
  • Application of small system thermodynamics for measuring granular potential differences.

Main Results:

  • Kinetic Monte Carlo simulations demonstrated mass transport leading to equilibrium and volume redistribution.
  • Analytical treatment revealed that compactivity and the ratio of granular potential to compactivity determine equilibrium between open systems.
  • Mass transport occurs from high to low values of the granular potential to compactivity ratio.
  • Adding particles increases entropy at high compactivity but decreases it at low compactivity.

Conclusions:

  • The granular potential serves as a useful analogue to chemical potential in granular statistical mechanics.
  • The interplay between granular potential and compactivity dictates system equilibrium and particle exchange.
  • Small system thermodynamics provides a viable method for measuring granular potential differences.