Thermodynamic Correlation Inequality
Yoshihiko Hasegawa
Abstract
Trade-off relations place fundamental limits on the operations that physical systems can perform. This Letter presents a trade-off relation that bounds the correlation function, which measures the relationship between a system's current and future states, in Markov processes. The obtained bound, referred to as the thermodynamic correlation inequality, states that the change in the correlation function has an upper bound comprising the dynamical activity, a thermodynamic measure of the activity of a Markov process. Moreover, by applying the obtained relation to the linear response function, it is demonstrated that the effect of perturbation can be bounded from above by the dynamical activity.
Topics & Concepts
Bounded functionStatistical physicsUpper and lower boundsFunction (biology)Markov processCorrelationPerturbation (astronomy)Measure (data warehouse)Relation (database)MathematicsMarkov chainCorrelation function (quantum field theory)Applied mathematicsPhysicsMathematical analysisComputer scienceQuantum mechanicsStatisticsSpectral densityEvolutionary biologyDatabaseGeometryBiologyAdvanced Thermodynamics and Statistical MechanicsQuantum Mechanics and ApplicationsStatistical Mechanics and Entropy