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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: 104 (0 UL)Efficiency at Maximum Power of Low-Dissipation Carnot Engines Esposito, Massimiliano ; ; et al in Physical Review Letters (2010), 105(15), Detailed reference viewed: 109 (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: 95 (2 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: 99 (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: 105 (0 UL)Self-Consistent Quantum Master Equation Approach to Molecular Transport Esposito, Massimiliano ; in Journal of Physical Chemistry. C, Nanomaterials and interfaces (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: 112 (2 UL)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: 91 (1 UL)Universality of Efficiency at Maximum Power Esposito, Massimiliano ; ; in Physical Review Letters (2009), 102(13), Detailed reference viewed: 125 (2 UL)Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems Esposito, Massimiliano ; ; in Reviews of Modern Physics (2009), 81(4), Detailed reference viewed: 281 (3 UL)Reaching optimal efficiencies using nanosized photoelectric devices ; Esposito, Massimiliano ; in Physical Review. B (2009), 80(23), Detailed reference viewed: 93 (2 UL)Transport in molecular states language: Generalized quantum master equation approach Esposito, Massimiliano ; in Physical Review. B (2009), 79(20), Detailed reference viewed: 86 (1 UL)Thermoelectric efficiency at maximum power in a quantum dot Esposito, Massimiliano ; ; in Epl (2009), 85(6), Detailed reference viewed: 100 (1 UL)Pulse propagation in decorated granular chains: An analytical approach ; ; et al in Physical Review. E. (2009), 80(5), Detailed reference viewed: 86 (1 UL)Pulse propagation in tapered granular chains: An analytic study ; ; Esposito, Massimiliano et al in Physical Review. E. (2009), 80(3), Detailed reference viewed: 94 (1 UL)Continuous-time random walk for open systems: Fluctuation theorems and counting statistics Esposito, Massimiliano ; in Physical Review. E. (2008), 77(5), Detailed reference viewed: 58 (1 UL)Interference effects in the counting statistics of electron transfers through a double quantum dot ; Esposito, Massimiliano ; et al in Physical Review. B (2008), 77(19), Detailed reference viewed: 56 (1 UL)Single-electron counting spectroscopy: Simulation study of porphyrin in a molecular junction ; ; Esposito, Massimiliano et al in Nano Letters (2008), 8(4), Detailed reference viewed: 82 (0 UL)Statistics and fluctuation theorem for boson and fermion transport through mesoscopic junctions ; Esposito, Massimiliano ; in Physical Review. B (2007), 76(8), Detailed reference viewed: 81 (1 UL)Entropy fluctuation theorems in driven open systems: Application to electron counting statistics Esposito, Massimiliano ; ; in Physical Review. E. (2007), 76(3), Detailed reference viewed: 44 (1 UL)Quantum master equation for the microcanonical ensemble Esposito, Massimiliano ; in Physical Review. E. (2007), 76(4), Detailed reference viewed: 48 (2 UL) |
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