Events in MathSys and Complexity Science
This is a calendar page detailing events within the MathSys CDT. It also acts as a booking diary for the Seminar Room D1.07. To book D1.07 please email Sheetal.Sharma@warwick.ac.uk
Please note that your event booking is for D1.07 only. The adjacent common room is a private area for the MathSys Centre that cannot used as part of your booking.
MathSys CDT events have priority for D1.07 room bookings.
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Complexity Forum: Andre Barato (Max Planck Institute for the Physics of Complex Systems)
Thermodynamic Uncertainty Relation
Biomolecular systems like molecular motors or pumps, transcription and translation machinery, and other enzymatic reactions can be described as Markov processes on a suitable network. We show quite generally that in a steady state the dispersion of observables like the number of consumed/produced molecules or the number of steps of a motor is constrained by the thermodynamic cost of generating it. An uncertainty $\epsilon$ requires at least a cost of $2k_BT/\epsilon^2$ independent of the time required to generate the output. As a generalization of this uncertainty relation we show remarkable universal bounds on the full spectrum of current fluctuations in nonequilibrium systems. For example, we have obtained a parabolic bound that constrains the large deviation function of any current from the sole knowledge of the average entropy production. We also show new related results that can be used to infer enzymatic schemes from data obtained in single molecule experiments. Our results involve both the energetic cost involved in the enzymatic scheme and higher order moments related to the dell time distribution.