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Extracting chemical energy by growing disorder: efficiency at maximum power Esposito, Massimiliano ; ; in Journal of Statistical Mechanics : Theory and Experiment (2010) We consider the efficiency of chemical energy extraction from the environment by the growth of a copolymer made of two constituent units in the entropy-driven regime. We show that the thermodynamic ... [more ▼] We consider the efficiency of chemical energy extraction from the environment by the growth of a copolymer made of two constituent units in the entropy-driven regime. We show that the thermodynamic nonlinearity associated with the information processing aspect is responsible for a branching of the system properties such as power, speed of growth, entropy production, and efficiency, with varying affinity. The standard linear thermodynamics argument which predicts an efficiency of 1/2 at maximum power is inappropriate because the regime of maximum power is located either outside of the linear regime or on a separate bifurcated branch, and because the usual thermodynamic force is not the natural variable for this optimization. [less ▲] Detailed reference viewed: 37 (0 UL)Entropy production as correlation between system and reservoir Esposito, Massimiliano ; ; in New Journal of Physics (2010), 12 We derive an exact (classical and quantum) expression for the entropy production of a finite system placed in contact with one or several finite reservoirs, each of which is initially described by a ... [more ▼] We derive an exact (classical and quantum) expression for the entropy production of a finite system placed in contact with one or several finite reservoirs, each of which is initially described by a canonical equilibrium distribution. Although the total entropy of system plus reservoirs is conserved, we show that system entropy production is always positive and is a direct measure of system–reservoir correlations and/or entanglements. Using an exactly solvable quantum model, we illustrate our novel interpretation of the Second Law in a microscopically reversible finite-size setting, with strong coupling between the system and the reservoirs. With this model, we also explicitly show the approach of our exact formulation to the standard description of irreversibility in the limit of a large reservoir. [less ▲] Detailed reference viewed: 54 (0 UL)Finite-time thermodynamics for a single-level quantum dot Esposito, Massimiliano ; ; et al in Epl (2010), 89(2), We investigate the finite-time thermodynamics of a single-level fermion system interacting with a particle reservoir. The optimal protocol to extract the maximum work from the system when moving the ... [more ▼] We investigate the finite-time thermodynamics of a single-level fermion system interacting with a particle reservoir. The optimal protocol to extract the maximum work from the system when moving the single energy level between an initial higher value and a final lower value in a finite time is calculated from a quantum master equation. The calculation also yields the optimal protocol to raise the energy level with the expenditure of the least amount of work on the system. The optimal protocol displays discontinuous jumps at the initial and final times. [less ▲] Detailed reference viewed: 49 (2 UL)Efficiency at Maximum Power of Low-Dissipation Carnot Engines Esposito, Massimiliano ; ; et al in Physical Review Letters (2010), 105(15), Detailed reference viewed: 51 (0 UL)Quantum-dot Carnot engine at maximum power Esposito, Massimiliano ; ; et al in Physical Review E (2010), 81(4), We evaluate the efficiency at maximum power of a quantum-dot Carnot heat engine. The universal values of the coefficients at the linear and quadratic order in the temperature gradient are reproduced ... [more ▼] We evaluate the efficiency at maximum power of a quantum-dot Carnot heat engine. The universal values of the coefficients at the linear and quadratic order in the temperature gradient are reproduced. Curzon-Ahlborn efficiency is recovered in the limit of weak dissipation. [less ▲] Detailed reference viewed: 66 (0 UL)On the relation between event-based and time-based current statistics Esposito, Massimiliano ; ; in Epl (2010), 89(1), Current statistics can be calculated in various ways. Event-based approaches use the statistics of the number of events occurring during a given time. Time-based approaches use the statistics of the time ... [more ▼] Current statistics can be calculated in various ways. Event-based approaches use the statistics of the number of events occurring during a given time. Time-based approaches use the statistics of the time needed to reach a given number of events. By analyzing normal as well as anomalous statistics of nonequilibrium currents through a two level system in contact with two different reservoirs, we investigate the conditions under which these different statistics do or do not yield identical predictions. We rely on the continuous time random walk formulation introduced in our earlier work (Phys. Rev. E, 77 (2008) 051119). [less ▲] Detailed reference viewed: 55 (0 UL)Self-Consistent Quantum Master Equation Approach to Molecular Transport Esposito, Massimiliano ; in Journal of Physical Chemistry C (2010), 114(48), We propose a self-consistent generalized quantum master equation (GQME) to describe electron transport through molecular junctions. In a previous study [Esposito, M.; Galperin, M. Phys. ReV. B 2009, 79 ... [more ▼] We propose a self-consistent generalized quantum master equation (GQME) to describe electron transport through molecular junctions. In a previous study [Esposito, M.; Galperin, M. Phys. ReV. B 2009, 79, 205303], we derived a time-nonlocal GQME to cure the lack of broadening effects in Redfield theory. To do so, the free evolution used in the Born-Markov approximation to close the Redfield equation was replaced by a standard Redfield evolution. In the present paper, we propose a backward Redfield evolution leading to a time-local GQME which allows for a self-consistent procedure of the GQME generator. This approach is approximate but properly reproduces the nonequilibrium steady-state density matrix and the currents of an exactly solvable model. The approach is less accurate for higher moments such as the noise. [less ▲] Detailed reference viewed: 54 (1 UL)Three faces of the second law. I. Master equation formulation Esposito, Massimiliano ; in Physical Review E (2010), 82(1), We propose a formulation of stochastic thermodynamics for systems subjected to nonequilibrium constraints i.e. broken detailed balance at steady state and furthermore driven by external time-dependent ... [more ▼] We propose a formulation of stochastic thermodynamics for systems subjected to nonequilibrium constraints i.e. broken detailed balance at steady state and furthermore driven by external time-dependent forces. A splitting of the second law occurs in this description leading to three second-law-like relations. The general results are illustrated on specific solvable models. The present paper uses a master equation based approach. [less ▲] Detailed reference viewed: 55 (0 UL)Three faces of the second law. II. Fokker-Planck formulation ; Esposito, Massimiliano in Physical Review E (2010), 82(1), The total entropy production is the sum of two contributions, the so-called adiabatic and nonadiabatic entropy productions, each of which is non-negative. We derive their explicit expressions for ... [more ▼] The total entropy production is the sum of two contributions, the so-called adiabatic and nonadiabatic entropy productions, each of which is non-negative. We derive their explicit expressions for continuous Markovian processes, discuss their properties, and illustrate their behavior on two exactly solvable models. [less ▲] Detailed reference viewed: 52 (0 UL)Three Detailed Fluctuation Theorems Esposito, Massimiliano ; in Physical Review Letters (2010), 104(9), The total entropy production of a trajectory can be split into an adiabatic and a nonadiabatic contribution, deriving, respectively, from the breaking of detailed balance via nonequilibrium boundary ... [more ▼] The total entropy production of a trajectory can be split into an adiabatic and a nonadiabatic contribution, deriving, respectively, from the breaking of detailed balance via nonequilibrium boundary conditions or by external driving.We show that each of them, the total, the adiabatic, and the nonadiabatic trajectory entropy, separately satisfies a detailed fluctuation theorem. [less ▲] Detailed reference viewed: 53 (0 UL)Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems Esposito, Massimiliano ; ; in Reviews of Modern Physics (2009), 81(4), Detailed reference viewed: 110 (2 UL)Universality of Efficiency at Maximum Power Esposito, Massimiliano ; ; in Physical Review Letters (2009), 102(13), Detailed reference viewed: 66 (2 UL)Transport in molecular states language: Generalized quantum master equation approach Esposito, Massimiliano ; in Physical Review B (2009), 79(20), Detailed reference viewed: 46 (0 UL)Pulse propagation in tapered granular chains: An analytic study ; ; Esposito, Massimiliano et al in Physical Review E (2009), 80(3), Detailed reference viewed: 49 (0 UL)Pulse propagation in decorated granular chains: An analytical approach ; ; et al in Physical Review E (2009), 80(5), Detailed reference viewed: 41 (0 UL)Reaching optimal efficiencies using nanosized photoelectric devices ; Esposito, Massimiliano ; in Physical Review B (2009), 80(23), Detailed reference viewed: 50 (1 UL)Thermoelectric efficiency at maximum power in a quantum dot Esposito, Massimiliano ; ; in Epl (2009), 85(6), Detailed reference viewed: 45 (1 UL) |
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