Nanoparticle Temporarily Violates the Second Law of Thermodynamics
scitechdaily.com
scitechdaily.com
If the system is simple enough, the probability of jumping to a less-degenerate state is large enough, and eventually, will happen.
If you take a glass chamber that is partitioned by a removable wall and where one side initially contains a given number N of non-interacting particles with random velocities, whereas the other side is empty. When you remove the wall between the two halves, the particles will start flying around freely in the chamber and will distribute roughly equally in the two halves. Now, the probability that they will again concentrate in only one of the halves of the chamber decreases exponentially with their number (as 2^N), so for macroscopic particle numbers (typically > 10^20) you would have to wait a VERY long time for this to happen. For a small number of particles, or a single nanosphere like in the article, it might well happen though.
In your example, assuming that particles positions are iid over the entire container generates the second law, but only because the dynamics of the system allow such approximation -- imagine instead that particles liked to almost irreversibly "stick together", then the system would converge to most particles on a single side.
Hard to take a science article seriously when they write like an 8th grader.