Ergodic pumping
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Summary
Abstract
Further observations
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Hamiltonian models
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Unequal masses
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Multiple drivers
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Thermalize
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Changing shape
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Two particles
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Modified volume
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Control experiment
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Theory 1
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Theory 2
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Nonlinear potentials
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16kT of work
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Movies
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More results
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Niggles
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Simple One-D
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More One-D
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Yet More One-D
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Charged exit-path trick
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Complication with simulations
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Discussion of 1-6 potential
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Details
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Pressure paradox
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Useful numbers
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Home
And now a demonstration of the `charged exit path' trick
The driver is thermalized every 1 time units. The first figure shows detail from time 14000 to 15000 of the simulation.
Predicted (yellow) and actual (red) histogram of work done
; 200000 samples
With the charged exit path (driver has downhill slope 1 for distance 5; piston has uphill slope for distance 5)
Original simulation
without
charged exit path
This figure shows time 0..2000 of the simulation.
David J.C. MacKay
Site last modified Tue Jul 5 12:32:01 BST 2005