The equations that describe physical systems often assume that measurable features of the system—temperature or chemical potential, for example—can be known exactly. But the real world is messier than that, and uncertainty is unavoidable. Temperatures fluctuate, instruments malfunction, the environment interferes, and systems evolve over time.
The rules of statistical physics address the uncertainty about the state of a system that arises when that system interacts with its environment. But they've long missed another kind, say SFI Professor David Wolpert and Jan Korbel, a postdoctoral researcher at the Complexity Science Hub in Vienna, Austria.
In a new paper published in Physical Review Research, the pair of physicists argue that uncertainty in the thermodynamic parameters themselves—built into equations that govern the energetic behavior of the system—may also influence the outcome of an experiment.
"At present, almost nothing is known about the thermodynamic consequences of this type of uncertainty despite its unavoidability," says Wolpert. In the new paper, he and Korbel consider ways to modify the equations of stochastic thermodynamics to accommodate it.
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