Stochastic thermodynamics under coarse graining

Esposito, Massimiliano

doi:10.1103/physreve.85.041125

Cited by 308 publications

(362 citation statements)

References 69 publications

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“…The state energies E i may change in time, E i = 0, due to the action of an external agent. For this generic scenario an unambiguous formulation of nonequilibrium thermodynamics ensues [4,6,23].…”

Section: Thermodynamics Of Kinetic Networkmentioning

confidence: 99%

“…(9), and the entropy production in the coarse-grained network is given by the nonconservative work, whereas the real entropy production is proportional to the driving work Eq. (23). The respective entropy production rates are…”

Section: Coarse-grained Versus Real Entropy Productionmentioning

confidence: 99%

“…This result is true for autonomous systems if the hidden variables are even under time reversal. It can be proved in various ways [22,23] and remains true even when the coarse-grained description is no longer Markovian [24][25][26]. Indications that odd hidden variables do not satisfy this result were analyzed in the context of Langevin equations where velocities were coarse grained [27,28].…”

Section: Introductionmentioning

confidence: 99%

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Stochastic thermodynamics of hidden pumps

Esposito

Parrondo

2015

Phys. Rev. E

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We show that a reversible pumping mechanism operating between two states of a kinetic network can give rise to Poisson transitions between these two states. An external observer, for whom the pumping mechanism is not accessible, will observe a Markov chain satisfying local detailed balance with an emerging effective force induced by the hidden pump. Due to the reversibility of the pump, the actual entropy production turns out to be lower than the coarse-grained entropy production estimated from the flows and affinities of the resulting Markov chain. Moreover, in presence of a large time scale separation between the fast-pumping dynamics and the slow-network dynamics, a finite current with zero dissipation may be produced. We make use of these general results to build a synthetase-like kinetic scheme able to reversibly produce high free-energy molecules at a finite rate and a rotatory motor achieving 100% efficiency at finite speed.

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Section: Thermodynamics Of Kinetic Networkmentioning

confidence: 99%

Section: Coarse-grained Versus Real Entropy Productionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stochastic thermodynamics of hidden pumps

Esposito

Parrondo

2015

Phys. Rev. E

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“…In absence of degeneracies in the system Hamiltonian, the density matrix populations in the system energy eigenbasis satisfy a closed stochastic equation, whereas coherences undergo an independent decay in time [18]. For many processes that only depend on populations or for steady state dynamics where eigenstates coherences are always vanishing, a classical stochastic thermodynamics (ST) [19][20][21] can be easily built for the population dynamics. This provides a consistent framework for the study of the thermodynamics of open quantum systems at both the average and the single trajectory level [22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Quantum Thermodynamics with Degenerate Eigenstate Coherences

Cuetara

Esposito

Schaller

2016

Entropy

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Abstract:We establish quantum thermodynamics for open quantum systems weakly coupled to their reservoirs when the system exhibits degeneracies. The first and second law of thermodynamics are derived, as well as a finite-time fluctuation theorem for mechanical work and energy and matter currents. Using a double quantum dot junction model, local eigenbasis coherences are shown to play a crucial role on thermodynamics and on the electron counting statistics.

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“…(7), any alternative protocol, perhaps done in finite time [33] or with unobserved coarse-grained variables [34], would necessarily require more work to implement. The following draws out the implications.…”

Section: Global Versus Localized Processingmentioning

confidence: 99%

Thermodynamics of Modularity: Structural Costs Beyond the Landauer Bound

2018

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Information processing typically occurs via the composition of modular units, such as the universal logic gates found in discrete computation circuits. The benefit of modular information processing, in contrast to globally integrated information processing, is that complex computations are more easily and flexibly implemented via a series of simpler, localized information processing operations that only control and change local degrees of freedom. We show that, despite these benefits, there are unavoidable thermodynamic costs to modularity-costs that arise directly from the operation of localized processing and that go beyond Landauer's bound on the work required to erase information. Localized operations are unable to leverage global correlations, which are a thermodynamic fuel. We quantify the minimum irretrievable dissipation of modular computations in terms of the difference between the change in global nonequilibrium free energy, which captures these global correlations, and the local (marginal) change in nonequilibrium free energy, which bounds modular work production. This modularity dissipation is proportional to the amount of additional work required to perform a computational task modularly, measuring a structural energy cost. It determines the thermodynamic efficiency of different modular implementations of the same computation, and so it has immediate consequences for the architecture of physically embedded transducers, known as information ratchets. Constructively, we show how to circumvent modularity dissipation by designing internal ratchet states that capture the information reservoir's global correlations and patterns. Thus, there are routes to thermodynamic efficiency that circumvent globally integrated protocols and instead reduce modularity dissipation to optimize the architecture of computations composed of a series of localized operations.

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Stochastic thermodynamics under coarse graining

Cited by 308 publications

References 69 publications

Stochastic thermodynamics of hidden pumps

Stochastic thermodynamics of hidden pumps

Quantum Thermodynamics with Degenerate Eigenstate Coherences

Thermodynamics of Modularity: Structural Costs Beyond the Landauer Bound

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