Universal Thermodynamic Uncertainty Relation in Non-Equilibrium Dynamics

Abstract

We derive a universal thermodynamic uncertainty relation (TUR) that applies to an arbitrary observable in a general Markovian system. The generality of our result allows us to make two findings:(1) for an arbitrary out-of-equilibrium system, the imbalance between the entropy production and the degree of non-stationarity is required to bound the strength of a thermodynamic current; (2) by removing the antisymmetric constraint on observables, the TUR in physics and a fundamental inequality in theoretical finance can be unified in a single framework.

Power laws and symmetries in a minimal model of financial market economy

“…The price dynamics may also be investigated under the assumption of the existence of a fundamental price. As has been briefly remarked in this work, the thermodynamics of the proposed microscopic model should also be interesting to investigate; for example, a recent work showed how a fundamental relation in theoretical finance could be directly linked to stochastic thermodynamics [61]. It would be an exciting and important future work to identify more links between statistical physics and finance.…”