Emergence of Fluctuation Relations in UNO
arxiv(2024)
Abstract
Fluctuation theorems are generalisations of the second law that describe the
relations between work, temperature, and free energy in thermodynamic processes
and are used extensively in studies of irreversibility and entropy. Many
experiments have verified these relations for different physical systems in the
setting of thermodynamics. In this study, we observe the same behavior away
from physical thermodynamics, namely for the card game UNO, by performing
numerical simulations of the game. As the analog of work, we choose the number
of steps one player needs to effect a transition in her deck; the other players
and the remaining cards play the role of a finite, non-Markovian bath. We also
compare our observation with is expected for a Markovian random walk.
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