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We use trajectory averaging to show that the energy dissipated in the nonequilibrium energy-state transitions of a driven two-state system satisfies a fluctuation-dissipation relation. This connection between the average energy dissipation…

Mesoscale and Nanoscale Physics · Physics 2023-05-16 Tuomas Pyhäranta , Luca Peliti , Jukka P. Pekola

Recent progress on micro- and nanometer scale manipulation has opened the possibility to probe systems small enough that thermal fluctuations of energy and coordinate variables can be significant compared with their mean behavior. We…

Mesoscale and Nanoscale Physics · Physics 2012-11-02 O. -P. Saira , Y. Yoon , T. Tanttu , M. Möttönen , D. V. Averin , J. P. Pekola

Recently, the fundamental laws of thermodynamics have been reconsidered for small systems. The discovery of the fluctuation relations has spurred theoretical and experimental studies on thermodynamics of systems with few degrees of freedom.…

Statistical Mechanics · Physics 2021-08-10 J. V. Koski , T. Sagawa , O. -P. Saira , Y. Yoon , A. Kutvonen , P. Solinas , M. Möttönen , T. Ala-Nissila , J. P. Pekola

Fluctuations of the excess heat in an out of equilibrium steady state are experimentally investigated in two stochastic systems : an electric circuit with an imposed mean current and a harmonic oscillator driven out of equilibrium by a…

Statistical Mechanics · Physics 2009-11-13 Sylvain Joubaud , Nicolas Garnier , Sergio Ciliberto

We analyze the distribution of heat generated in driven single-electron transitions and discuss the related non-equilibrium work theorems. In the adiabatic limit, the heat distribution is shown to become Gaussian, with the heat noise that,…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Dmitri V. Averin , Jukka P. Pekola

Interplay of cotunneling and single-electron tunneling in a thermally isolated single-electron transistor (SET) leads to peculiar overheating effects. In particular, there is an interesting crossover interval where the competition between…

Mesoscale and Nanoscale Physics · Physics 2010-11-25 M. A. Laakso , T. T. Heikkilä , Yuli V. Nazarov

We theoretically investigate fluctuation relations in a classical incomplete measurement process where just partial information is available. The scenario we consider consists of two coupled single-electron boxes where one or both devices…

Statistical Mechanics · Physics 2015-06-23 Massimo Borrelli , Jonne V. Koski , Sabrina Maniscalco , Jukka P. Pekola

We apply the general procedure presented by Jarzynski in [1] to the problem of dissipation in a voltage-driven single-electron box. We obtain the expression of dissipated work, and find its relation to the dissipation Q obtained in [2]. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 J. P. Pekola , O. -P. Saira

We study two non-equilibrium work fluctuation theorems, the Crooks' theorem and the Jarzynski equality, for a test system coupled to a spatially extended heat reservoir whose degrees of freedom are explicitly modeled. The sufficient…

Statistical Mechanics · Physics 2010-02-22 Punyabrata Pradhan , Yariv Kafri , Dov Levine

We study experimentally the thermal fluctuations of energy input and dissipation in a harmonic oscillator driven out of equilibrium, and search for Fluctuation Relations. We study transient evolution from the equilibrium state, together…

Statistical Mechanics · Physics 2007-11-28 Sylvain Joubaud , Nicolas Garnier , Sergio Ciliberto

Fluctuation theorems impose constraints on the probability of observing negative entropy production in small systems driven out of equilibrium. The range of validity of fluctuation theorems has been extensively tested for transitions…

Statistical Mechanics · Physics 2015-04-21 Léo Granger , Jumna Mehlis , Édgar Roldán , Sergio Ciliberto , Holger Kantz

We derive fluctuation relations for a many-body quantum system prepared in a Generalised Gibbs Ensemble subject to a general nonequilibrium protocol. By considering isolated integrable systems, we find generalisations to the Tasaki-Crooks…

Statistical Mechanics · Physics 2015-06-19 James M. Hickey , Sam Genway

In mesoscopic and nanoscale systems at low temperatures, charge carriers are typically not in thermal equilibrium with the surrounding lattice. The resulting, non-equilibrium dynamics of electrons has only begun to be explored.…

Mesoscale and Nanoscale Physics · Physics 2015-12-08 Tineke L. van den Berg , Fredrik Brange , Peter Samuelsson

Thermodynamics constrains changes to the energy of a system, both deliberate and random, via its first and second laws. When the system is not in equilibrium, fluctuation theorems such as the Jarzynski equality further restrict the…

Fluctuation relations for the entropy production in non equilibrium stationary states of Ising models are investigated by Monte Carlo simulations. Systems in contact with heat baths at two different temperatures or subject to external…

Statistical Mechanics · Physics 2009-11-13 A. Piscitelli , F. Corberi , G. Gonnella , A. Pelizzola

In the derivation of fluctuation relations, and in stochastic thermodynamics in general, it is tacitly assumed that we can measure the system perfectly, i.e., without measurement errors. We here demonstrate for a driven system immersed in a…

Statistical Mechanics · Physics 2016-11-30 C. W. Wächtler , P. Strasberg , T. Brandes

We prove a general inequality between the charge current and its fluctuations valid for any non-interacting coherent electronic conductor and for any stationary out-of-equilibrium condition, thereby going beyond established…

Mesoscale and Nanoscale Physics · Physics 2024-07-15 Ludovico Tesser , Janine Splettstoesser

We report an experimental and theoretical analysis of the energy exchanged between two conductors kept at different temperature and coupled by the electric thermal noise. Experimentally we determine, as functions of the temperature…

Statistical Mechanics · Physics 2015-06-12 Sergio Ciliberto , Alberto Imparato , Antoine Naert , Marius Tanase

We study the heat transfer between two finite quantum systems initially at different temperatures. We find that a recently proposed fluctuation theorem for heat exchange, namely the exchange fluctuation theorem [C. Jarzynski and D. K.…

Statistical Mechanics · Physics 2009-07-03 Shiho Akagawa , Naomichi Hatano

Nonequilibrium systems exchange the energy with an environment in the form of work and heat. The work done on a system obeys the fluctuation theorem, while the dissipated heat which differs from the work by the internal energy change does…

Statistical Mechanics · Physics 2014-02-04 Jae Dong Noh
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