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The minimization of mechanical work in vibrated granular matter.

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Clewett,  James P. D.
Group Non-equilibrium soft matter, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Herminghaus,  Stephan
Group Granular matter and irreversibility, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Mazza,  Marco G.
Group Non-equilibrium soft matter, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Clewett, J. P. D., Wade, J., Bowley, R., Herminghaus, S., Swift, M. R., & Mazza, M. G. (2016). The minimization of mechanical work in vibrated granular matter. Scientific Reports, 6: 28726. doi:10.1038/srep28726.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-061E-9
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.