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The funnel trap paradox
(2012)
In this article, an illustrative example is given for the coarse-graining of a
Markov process which leads to a shift in the statistical weights of a two-states-system.
The example is based on a 2D-funnel trap. The funnel trap is constructed in such a
way, that the area inside and outside of the trap is identical. However, observing the
flight of the insect as a Markov process, the probability for being “in the trap” is higher.
This example can be transferred to several kinds of processes (like receptor-ligandbinding
processes in chemistry) and describes the influence of “re-entering events”.
This work aims to develop a new algorithm to calculate the free energy of water molecules by using a deterministic way.
For this purpose, we assume a closed system confined to a physical volume, having water molecules in gas phase.
To calculate the free energy of this sytem we utilized Mayer cluster expansion and the fluctuation free integration
method.