Display options
Cite
Clewett JP, Wade J, Bowley RM, et al. The minimization of mechanical work in vibrated granular matter. Sci Rep. 2016;6:28726doi: 10.1038/srep28726.
Clewett, J. P., Wade, J., Bowley, R. M., Herminghaus, S., Swift, M. R., & Mazza, M. G. (2016). The minimization of mechanical work in vibrated granular matter. Scientific reports, 628726. https://doi.org/10.1038/srep28726
Clewett, James P D, et al. "The minimization of mechanical work in vibrated granular matter." Scientific reports vol. 6 (2016): 28726. doi: https://doi.org/10.1038/srep28726
Clewett JP, Wade J, Bowley RM, Herminghaus S, Swift MR, Mazza MG. The minimization of mechanical work in vibrated granular matter. Sci Rep. 2016 Jul 04;6:28726. doi: 10.1038/srep28726. PMID: 27373719; PMCID: PMC4931499.
Copy Download .nbib Format: NLM
Share it on

Sci Rep. 2016 Jul 04;6:28726. doi: 10.1038/srep28726.

The minimization of mechanical work in vibrated granular matter.

Scientific reports

James P D Clewett, Jack Wade, R M Bowley, Stephan Herminghaus, Michael R Swift, Marco G Mazza

Affiliations

  1. Max Planck Institute for Dynamics and Self-Organization, Am Faßberg 17, 37077 Göttingen, Germany.
  2. School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, United Kingdom.

PMID: 27373719 PMCID: PMC4931499 DOI: 10.1038/srep28726

Abstract

Experiments and computer simulations are carried out to investigate phase separation in a granular gas under vibration. The densities of the dilute and the dense phase are found to follow a lever rule and obey an equation of state. Here we show that the Maxwell equal-areas construction predicts the coexisting pressure and binodal densities remarkably well, even though the system is far from thermal equilibrium. This construction can be linked to the minimization of mechanical work associated with density fluctuations without invoking any concept related to equilibrium-like free energies.

References

  1. Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Feb;65(2 Pt 1):021302 - PubMed
  2. Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Sep;70(3 Pt 1):031302 - PubMed
  3. Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Nov;70(5 Pt 1):051310 - PubMed
  4. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 May;59(5 Pt B):5895-911 - PubMed
  5. Phys Rev Lett. 2002 Jul 22;89(4):044301 - PubMed
  6. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1995 Oct;52(4):4442-4457 - PubMed
  7. Phys Rev Lett. 2011 Jul 22;107(4):048002 - PubMed
  8. Science. 2000 Jan 7;287(5450):101-4 - PubMed
  9. Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Jun;75(6 Pt 1):061304 - PubMed
  10. Proc Natl Acad Sci U S A. 2009 Mar 3;106(9):2983-8 - PubMed
  11. Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Nov;70(5 Pt 1):050301 - PubMed
  12. Phys Rev Lett. 2012 May 25;108(21):210604 - PubMed
  13. Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Aug;66(2 Pt 1):021306 - PubMed
  14. Phys Rev Lett. 2012 Nov 30;109(22):228002 - PubMed
  15. Phys Rev Lett. 2012 Jan 6;108(1):018001 - PubMed
  16. Rep Prog Phys. 2012 Dec;75(12):126001 - PubMed

Publication Types