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Stochastic thermodynamics and coarse graining Esposito, Massimiliano Scientific Conference (2013, January) Detailed reference viewed: 44 (2 UL)Open systems dynamics Esposito, Massimiliano Scientific Conference (2013) Detailed reference viewed: 54 (0 UL)Modulated two-level system: Exact work statistics Verley, Gatien ; ; Esposito, Massimiliano in Physical Review. E : Statistical, Nonlinear, and Soft Matter Physics (2013), 88 We consider an open two-level system driven by a piecewise constant periodic field and described by a rate equation with Fermi, Bose, and Arrhenius rates, respectively. We derive an analytical expression ... [more ▼] We consider an open two-level system driven by a piecewise constant periodic field and described by a rate equation with Fermi, Bose, and Arrhenius rates, respectively. We derive an analytical expression for the generating function and large deviation function of the work performed by the field and show that a work fluctuation theorem holds. [less ▲] Detailed reference viewed: 115 (7 UL)Stochastic Thermodynamics and Information Processing Esposito, Massimiliano Scientific Conference (2013) Detailed reference viewed: 52 (0 UL)Stochastic thermodynamics: A powerful tool to control small systems Esposito, Massimiliano Scientific Conference (2012, June 01) Small systems are often subjected to strong fluctuations and can easily be driven far from equilibrium. My aim is to show that stochastic thermodynamics is a powerful theory that can help us better ... [more ▼] Small systems are often subjected to strong fluctuations and can easily be driven far from equilibrium. My aim is to show that stochastic thermodynamics is a powerful theory that can help us better understand how to manipulate and control small systems in an efficient way. I will discuss in particular how a stochastic driving or a feedback control can be used to make small systems, such as single level quantum dots, operate as efficient thermodynamic machines. [1] M. Esposito, "Stochastic thermodynamics under coarse-graining", Phys. Rev. E 85, 041125 (2012) [2] M. Esposito, N. Kumar, K. Lindenberg and C. Van den Broeck, "Stochastically driven single level quantum dot: a nano-scalefinite-time thermodynamic machine and its various operational modes", Phys. Rev. E 85, 031117 (2012) [3] M. Esposito and G. Schaller, "Stochastic thermodynamics for 'Maxwell demon' feedbacks", arxiv:1204.5671 [less ▲] Detailed reference viewed: 93 (0 UL)Stochastic thermodynamics and information Esposito, Massimiliano Scientific Conference (2012, May 24) I will emphasize the deep connection established by stochastic thermodynamics between information and nonequilibrum thermodynamics. More specifically, I will discuss the meaning, in terms of information ... [more ▼] I will emphasize the deep connection established by stochastic thermodynamics between information and nonequilibrum thermodynamics. More specifically, I will discuss the meaning, in terms of information, of recovering equilibrium thermodynamics [1]. I will also present the nonequilibrium Laundauer principle [2], and an elegant way to incorporate "Maxwell demon" feedbacks into the theory [3]. [1] M. Esposito, "Stochastic thermodynamics under coarse-graining", Phys. Rev. E 85, 041125 (2012) [2] M. Esposito and C. Van den Broeck, "Second law and Landauer principle far from equilibrium", EPL 95, 40004 (2011) [3] M. Esposito and G. Schaller, "Stochastic thermodynamics for 'Maxwell demon' feedbacks", arxiv:1204.5671 [less ▲] Detailed reference viewed: 69 (0 UL)Stochastic thermodynamics for “Maxwell demon” feedbacks Esposito, Massimiliano ; in Europhysics Letters [=EPL] (2012), 99(30003), We propose a way to incorporate the effect of a specific class of feedback processes into stochastic thermodynamics. These “Maxwell demon” feedbacks do not affect the system energetics but only the energy ... [more ▼] We propose a way to incorporate the effect of a specific class of feedback processes into stochastic thermodynamics. These “Maxwell demon” feedbacks do not affect the system energetics but only the energy barriers between the system states (in a way which depends on the system states). They are thus of a purely informational nature. We show that the resulting formalism can be applied to study the thermodynamic effect of a feedback process acting on electron transfers through a junction. [less ▲] Detailed reference viewed: 99 (4 UL)Stochastically driven single-level quantum dot: A nanoscale finite-time thermodynamic machine and its various operational modes Esposito, Massimiliano ; ; et al in Physical Review E (2012), 85(3), We describe a single-level quantum dot in contact with two leads as a nanoscale finite-time thermodynamic machine. The dot is driven by an external stochastic force that switches its energy between two ... [more ▼] We describe a single-level quantum dot in contact with two leads as a nanoscale finite-time thermodynamic machine. The dot is driven by an external stochastic force that switches its energy between two values. In the isothermal regime, it can operate as a rechargeable battery by generating an electric current against the applied bias in response to the stochastic driving and then redelivering work in the reverse cycle. This behavior is reminiscent of the Parrondo paradox. If there is a thermal gradient the device can function as a work-generating thermal engine or as a refrigerator that extracts heat from the cold reservoir via the work input of the stochastic driving. The efficiency of the machine at maximum power output is investigated for each mode of operation, and universal features are identified. [less ▲] Detailed reference viewed: 72 (3 UL)Second law and Landauer principle far from equilibrium Esposito, Massimiliano Scientific Conference (2012, January 25) I will show, for various types of dynamics, that the amount of work needed to change the state of a system in contact with a heat bath between specified initial and final nonequilibrium states is at least ... [more ▼] I will show, for various types of dynamics, that the amount of work needed to change the state of a system in contact with a heat bath between specified initial and final nonequilibrium states is at least equal to the corresponding equilibrium free energy difference plus (respectively, minus) temperature times the information of the final (respectively, the initial) state relative to the corresponding equilibrium distributions. [less ▲] Detailed reference viewed: 62 (1 UL)Finite-time erasing of information stored in fermionic bits Diana, Giovanni ; ; Esposito, Massimiliano in Physical Review. E : Statistical, Nonlinear, and Soft Matter Physics (2012), 87(1), 012111 We address the issue of minimizing the heat generated when erasing the information stored in an array of quantum dots in finite time. We identify the fundamental limitations and trade-offs involved in ... [more ▼] We address the issue of minimizing the heat generated when erasing the information stored in an array of quantum dots in finite time. We identify the fundamental limitations and trade-offs involved in this process and analyze how a feedback operation can help improve it. [less ▲] Detailed reference viewed: 125 (5 UL)Stochastic thermodynamics Esposito, Massimiliano Scientific Conference (2012) Detailed reference viewed: 72 (1 UL)Stochastic thermodynamics under coarse graining Esposito, Massimiliano in Physical Review E (2012), 85(4), A general formulation of stochastic thermodynamics is presented for open systems exchanging energy and particles with multiple reservoirs. By introducing a partition in terms of “mesostates” (e.g., sets ... [more ▼] A general formulation of stochastic thermodynamics is presented for open systems exchanging energy and particles with multiple reservoirs. By introducing a partition in terms of “mesostates” (e.g., sets of “microstates”), the consequence on the thermodynamic description of the system is studied in detail. When microstates within mesostates rapidly thermalize, the entire structure of the microscopic theory is recovered at the mesostate level. This is not the case when these microstates remain out of equilibrium, leading to additional contributions to the entropy balance. Some of our results are illustrated for a model of two coupled quantum dots. [less ▲] Detailed reference viewed: 121 (6 UL)Stochastic thermodynamics : Engines and demons Esposito, Massimiliano Scientific Conference (2012) Detailed reference viewed: 53 (0 UL)Second law and Landauer principle far from equilibrium Esposito, Massimiliano Scientific Conference (2012) Detailed reference viewed: 76 (0 UL)Thermodynamics of detection Esposito, Massimiliano Scientific Conference (2012) Detailed reference viewed: 43 (2 UL)Fluctuation theorems for capacitively coupled electronic currents ; Esposito, Massimiliano ; in Physical Review B (2011), 84(16), The counting statistics of electron transport is studied theoretically in a system with two capacitively coupled parallel transport channels. Each channel is composed of a quantum dot connected by ... [more ▼] The counting statistics of electron transport is studied theoretically in a system with two capacitively coupled parallel transport channels. Each channel is composed of a quantum dot connected by tunneling to two reservoirs. The nonequilibrium steady state of the system is controlled by two affinities or thermodynamic forces, each one determined by the two reservoirs of each channel. The status of a single-current fluctuation theorem is investigated starting from the fundamental two-current fluctuation theorem, which is a consequence of microreversibility.We show that the single-current fluctuation theorem holds in the limit of a large Coulomb repulsion between the two parallel quantum dots, as well as in the limit of a large current ratio between the parallel channels. In this latter limit, the symmetry relation of the single-current fluctuation theorem is satisfied with respect to an effective affinity that is much lower than the affinity determined by the reservoirs. This backaction effect is characterized quantitatively. [less ▲] Detailed reference viewed: 42 (0 UL)Second law and Landauer principle far from equilibrium Esposito, Massimiliano ; in Epl (2011), 95(4), The amount of work that is needed to change the state of a system in contact with a heat bath between specified initial and final nonequilibrium states is at least equal to the corresponding equilibrium ... [more ▼] The amount of work that is needed to change the state of a system in contact with a heat bath between specified initial and final nonequilibrium states is at least equal to the corresponding equilibrium free energy difference plus (respectively, minus) temperature times the information of the final (respectively, the initial) state relative to the corresponding equilibrium distributions. [less ▲] Detailed reference viewed: 74 (1 UL)Nonequilibrium Thermodynamics and Nose-Hoover Dynamics Esposito, Massimiliano ; in Journal of Physical Chemistry B (2011), 115(18), We show that systems driven by an external force and described by Nose-Hoover dynamics allow for a consistent nonequilibrium thermodynamics description when the thermostatted variable is initially assumed ... [more ▼] We show that systems driven by an external force and described by Nose-Hoover dynamics allow for a consistent nonequilibrium thermodynamics description when the thermostatted variable is initially assumed in a state of canonical equilibrium. By treating the “real” variables as the system and the thermostatted variable as the reservoir, we establish the first and second law of thermodynamics. As for Hamiltonian systems, the entropy production can be expressed as a relative entropy measuring the system-reservoir correlations established during the dynamics. [less ▲] Detailed reference viewed: 42 (0 UL)Fluctuation theorems for capacitively coupled electronic currents Bulnes Cuetara, Gregroy ; Esposito, Massimiliano ; in Physical Review. B : Condensed Matter (2011) The counting statistics of electron transport is studied theoretically in a system with two capacitively coupled parallel transport channels. Each channel is composed of a quantum dot connected by ... [more ▼] The counting statistics of electron transport is studied theoretically in a system with two capacitively coupled parallel transport channels. Each channel is composed of a quantum dot connected by tunneling to two reservoirs. The nonequilibrium steady state of the system is controlled by two affinities or thermodynamic forces, each one determined by the two reservoirs of each channel. The status of a single-current fluctuation theorem is investigated starting from the fundamental two-current fluctuation theorem, which is a consequence of microreversibility. We show that the single-current fluctuation theorem holds in the limit of a large Coulomb repulsion between the two parallel quantum dots, as well as in the limit of a large current ratio between the parallel channels. In this latter limit, the symmetry relation of the single-current fluctuation theorem is satisfied with respect to an effective affinity that is much lower than the affinity determined by the reservoirs. This backaction effect is characterized quantitatively. [less ▲] Detailed reference viewed: 70 (0 UL)Thermodynamics of a stochastic twin elevator ; ; Esposito, Massimiliano et al in Physical Review E (2011), 84(5), We study the nonequilibrium thermodynamics of a single particle with two available energy levels, in contact with a classical (Maxwell-Boltzmann) or quantum (Bose-Einstein) heat bath. The particle can ... [more ▼] We study the nonequilibrium thermodynamics of a single particle with two available energy levels, in contact with a classical (Maxwell-Boltzmann) or quantum (Bose-Einstein) heat bath. The particle can undergo transitions between the levels via thermal activation or deactivation. The energy levels are alternately raised at a given rate regardless of occupation by the particle, maintaining a fixed energy gap equal to ε between them. We explicitly calculate the work, heat, and entropy production rates. The efficiency in both the classical and the quantum case goes to a limit between 100 and 50% that depends on the relative rates of particle transitions and level elevation. In the classical problem we explicitly find the large deviation functions for heat, work, and internal energy. [less ▲] Detailed reference viewed: 632 (0 UL) |
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