Review: Temperature and Activity

Temperature Activity

Brownian thermostat set to some \(T\)

Brownian thermostat set to \(T=1\)

Thermostat keeps \(T\) fixed

Activity raises temperature due to energy input

Review: Temperature and Activity

Plan: Use a Harmonic Potential

  • The current repulsive Lennard-Jones may be too similar to hard-spheres, and may be unaffected by \(20 k_B T\) "jolts"

  • A softer potential may provide lower "barriers" that can be jumped with a \(20 k_B T\) "jolt"

Results: Harmonic Potential

Results: Harmonic Potential

Thought: Perhaps its that the longer the plateau, the greater the effect of random activity.

Review: Maximal \(\alpha_2\)

Review: Maximal \(\alpha_2\)

From the MSDs, we get \(\alpha_2\):

Review: Maximal \(\alpha_2\)

Some simulations, however, have not relaxed in the time I left them running.

Review: Maximal \(\alpha_2\)

Simulations that have not relaxed do not have fixed results. If we remove those simulations, this is the plot of \(\alpha_2\) we are left with.