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Related papers: Thermodynamic cost of external control

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Feedback control mechanisms are ubiquitous in science and technology, and play an essential role in regulating physical, biological and engineering systems. The standard second law of thermodynamics does not hold in the presence of…

Quantum Physics · Physics 2020-04-20 Maxime Debiossac , David Grass , Jose Joaquin Alonso , Eric Lutz , Nikolai Kiesel

A purely state-dependent cost function can be modified by introducing a control-dependent term rewarding submaximal control utilization. A moderation incentive is identically zero on the boundary of the admissible control region and…

Optimization and Control · Mathematics 2010-01-05 Debra Lewis

Thermodynamics is traditionally concerned with systems comprised of a large number of particles. Here we present a framework for extending thermodynamics to individual quantum systems, including explicitly a thermal bath and work-storage…

Quantum Physics · Physics 2014-09-29 Paul Skrzypczyk , Anthony J. Short , Sandu Popescu

A scheme for treating the Second Law of thermodynamics as a constraint and accounting for the approximate nature of constitutive assumptions in continuum thermomechanics is discussed. An unconstrained, concave, variational principle is…

Classical Physics · Physics 2024-12-31 Amit Acharya

Information processing at the molecular scale is limited by thermal fluctuations. This can cause undesired consequences in copying information since thermal noise can lead to errors that can compromise the functionality of the copy. For…

Subcellular Processes · Quantitative Biology 2015-12-16 Pablo Sartori , Simone Pigolotti

Almost all processes -- highly correlated, weakly correlated, or correlated not at all---exhibit statistical fluctuations. Often physical laws, such as the Second Law of Thermodynamics, address only typical realizations -- as highlighted by…

Statistical Mechanics · Physics 2016-09-09 James P. Crutchfield , Cina Aghamohammadi

We propose a new form of the Second Law inequality that defines a tight bound for extractable work from the non-equilibrium quantum state. In classical thermodynamics, the optimal work is given by the difference of free energy, what…

Quantum Physics · Physics 2023-02-14 Marcin Łobejko

We obtain macroscopic adiabatic thermodynamic transformations by space-time scalings of a microscopic Hamiltonian dynamics subject to random collisions with the environment. The microscopic dynamics is given by a chain of oscillators…

Statistical Mechanics · Physics 2014-12-12 Stefano Olla , Marielle Simon

Motivated by the consistency of a global anomaly with the second law of thermodynamics, we propose a form for the anomaly induced charge/energy transport in arbitrary even dimensions. In a given dimension, this form exhausts all second law…

High Energy Physics - Theory · Physics 2011-11-04 R. Loganayagam

The limits of the Second Law of Thermodynamics, which reigns undisputed in the macroscopic world, are investigated at the mesoscopic level, corresponding to spatial dimensions of a few microns. An extremely simple isolated system, modeled…

Classical Physics · Physics 2007-05-23 Bruno Crosignani , Paolo Di Porto , Claudio Conti

The validity of the Second Law of thermodynamics, indisputable in the macroscopic world, is challenged at the mesoscopic level: a mesoscopic isolated system, possessing spatial dimensions of the order of a few microns, is capable, as shown…

Classical Physics · Physics 2007-05-23 B. Crosignani , P. Di Porto , C. Conti

After presenting possible motives for fighting against the second law of thermodynamics, several attempts to beat this law are analyzed. The second law wins, but an interesting interpretation of it emerges. This interpretation uses the…

adap-org · Physics 2015-06-30 Jorge Berger

In the real world, one almost never knows the parameters of a thermodynamic process to infinite precision. Reflecting this, here we investigate how to extend stochastic thermodynamics to systems with uncertain parameters, including…

Statistical Mechanics · Physics 2021-03-17 Jan Korbel , David H. Wolpert

In order to stabilize the behavior of noisy systems, confining it around a desirable state, an effort is required to suppress the intrinsic noise. This noise suppression task entails a cost. For the important case of thermal noise in an…

Statistical Mechanics · Physics 2009-02-26 Giovanni Volpe , Jan Wehr , Dmitri Petrov , J. Miguel Rubi

Stochastic dynamics with random resetting leads to a non-equilibrium steady state. Here, we consider the thermodynamics of resetting by deriving the first and second law for reset processes far from equilibrium. We identify the…

Statistical Mechanics · Physics 2017-01-31 Jaco Fuchs , Sebastian Goldt , Udo Seifert

The microscopic derivation of the second law for macroscopic system is given under the phenomenological assumption that both the initial and final states are described by mutually different canonical ensembles. In particular, it is also…

Classical Physics · Physics 2011-11-08 Takaaki Monnai

Active matter represents a class of non-equilibrium systems that constantly dissipate energy to produce directed motion. The thermodynamic control of active matter holds great potential for advancements in synthetic molecular motors,…

Statistical Mechanics · Physics 2024-09-17 Yating Wang , Enmai Lei , Yu-Han Ma , Z. C. Tu , Geng Li

A new thermodynamic inequality is derived which leads to the maximum work that can be extracted from multi-heat baths with the assistance of discrete quantum feedback control. The maximum work is determined by the free-energy difference and…

Quantum Physics · Physics 2009-11-13 Takahiro Sagawa , Masahito Ueda

The large-deviation method allows to characterize an ergodic counting process in terms of a thermodynamic frame where a free energy function determines the asymptotic non-stationary statistical properties of its fluctuations. Here, we study…

Statistical Mechanics · Physics 2011-12-13 Adrian A. Budini

Real-world computers have operational constraints that cause nonzero entropy production (EP). In particular, almost all real-world computers are ``periodic'', iteratively undergoing the same physical process; and ``local", in that…

Statistical Mechanics · Physics 2023-07-06 Thomas E. Ouldridge , David H. Wolpert
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