Andre C. Barato
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Inference of entropy production for periodically driven systems Open
The problem of estimating entropy production from incomplete information in stochastic thermodynamics is essential for theory and experiments. Whereas a considerable amount of work has been done on this topic, arguably, most of it is restr…
Inference of entropy production for periodically driven systems Open
The problem of estimating entropy production from incomplete information in stochastic thermodynamics is essential for theory and experiments. Whereas a considerable amount of work has been done on this topic, arguably, most of it is restr…
Second Law for Active Heat Engines Open
Macroscopic cyclic heat engines have been a major motivation for the emergence of thermodynamics. In the last decade, cyclic heat engines that have large fluctuations and operate at finite time were studied within the more modern framework…
View article: Universal minimal cost of coherent biochemical oscillations
Universal minimal cost of coherent biochemical oscillations Open
Biochemical clocks are essential for virtually all living systems. A biochemical clock that is isolated from an external periodic signal and subjected to fluctuations can oscillate coherently only for a finite number of oscillations. Furth…
Skewness and kurtosis in stochastic thermodynamics Open
The thermodynamic uncertainty relation is a prominent result in stochastic thermodynamics that provides a bound on the fluctuations of any thermodynamic flux, also known as current, in terms of the average rate of entropy production. Such …
View article: Stochastic Discrete Time Crystals: Entropy Production and Subharmonic Synchronization
Stochastic Discrete Time Crystals: Entropy Production and Subharmonic Synchronization Open
Discrete time crystals are periodically driven systems that display spontaneous symmetry breaking of time translation invariance in the form of indefinite subharmonic oscillations. We introduce a thermodynamically consistent model for a di…
Precision and dissipation of a stochastic Turing pattern Open
Spontaneous pattern formation is a fundamental scientific problem that has received much attention since the seminal theoretical work of Turing on reaction-diffusion systems. In molecular biophysics, this phenomenon often takes place under…
Oscillations in feedback-driven systems: Thermodynamics and noise Open
Oscillations in nonequilibrium noisy systems are important physical\nphenomena. These oscillations can happen in autonomous biochemical oscillators\nsuch as circadian clocks. They can also manifest as subharmonic oscillations in\nperiodica…
A unifying picture of generalized thermodynamic uncertainty relations Open
The thermodynamic uncertainty relation is a universal trade-off relation\nconnecting the precision of a current with the average dissipation at large\ntimes. For continuous time Markov chains (also called Markov jump processes)\nthis relat…
Subharmonic oscillations in stochastic systems under periodic driving Open
Subharmonic response is a well-known phenomenon in, e.g., deterministic nonlinear dynamical systems. We investigate the conditions under which such subharmonic oscillations can persist for a long time in open systems with stochastic dynami…
Arcsine Laws in Stochastic Thermodynamics Open
We show that the fraction of time that a thermodynamic current spends above its average value follows the arcsine law, a prominent result obtained by Lévy for Brownian motion. Stochastic currents with long streaks above or below their aver…
Current fluctuations in periodically driven systems Open
Small nonequelibrium systems driven by an external periodic protocol can be described by Markov processes with time-periodic transition rates. In general, current fluctuations in such small systems are large and may play a crucial role. We…
Thermodynamic Arcsine Law Open
Thermodynamic currents, like heat fluxes in a heat engine or particle fluxes in a thermoelectric device, are the key observables in nonequilibrium thermodynamics. For small systems with non-negligible thermal fluctuations thermodynamic cur…
Stochastic thermodynamics of periodically driven systems: Fluctuation theorem for currents and unification of two classes Open
Periodic driving is used to operate machines that go from standard macroscopic engines to small nonequilibrium microsized systems. Two classes of such systems are small heat engines driven by periodic temperature variations, and molecular …
Dispersion of the time spent in a state: general expression for unicyclic model and dissipation-less precision Open
We compare the relation between dispersion and dissipation for two random variables that can be used to characterize the precision of a Brownian clock. The first random variable is the current between states. In this case, a certain precis…
Coherence of biochemical oscillations is bounded by driving force and network topology Open
Biochemical oscillations are prevalent in living organisms. Systems with a small number of constituents cannot sustain coherent oscillations for an indefinite time because of fluctuations in the period of oscillation. We show that the numb…
Cost and Precision of Brownian Clocks Open
Brownian clocks are biomolecular networks that can count time. A paradigmatic example are proteins that go through a cycle thus regulating some oscillatory behaviour in a living system. Typically, such a cycle requires free energy often pr…
Affinity- and topology-dependent bound on current fluctuations Open
We provide a proof of a recently conjectured universal bound on current fluctuations in Markovian processes. This bound establishes a link between the fluctuations of an individual observable current, the cycle affinities driving the syste…
Universal bounds on current fluctuations Open
For current fluctuations in nonequilibrium steady states of Markovian processes, we derive four different universal bounds valid beyond the Gaussian regime. Different variants of these bounds apply to either the entropy change or any indiv…
Sensory capacity: An information theoretical measure of the performance of a sensor Open
For a general sensory system following an external stochastic signal, we introduce the sensory capacity. This quantity characterizes the performance of a sensor: sensory capacity is maximal if the instantaneous state of the sensor has as m…