Fluctuation theorems and thermodynamic uncertainty relations
- URL: http://arxiv.org/abs/2109.05505v3
- Date: Sat, 13 Nov 2021 10:04:30 GMT
- Title: Fluctuation theorems and thermodynamic uncertainty relations
- Authors: Gianluca Francica
- Abstract summary: We derive a new thermodynamic uncertainty relation which also applies to non-cyclic and time-reversal non-symmetric protocols.
We investigate the relation between the thermodynamic uncertainty relation and the correlation between the entropy and the observable.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Fluctuation theorems are fundamental results in non-equilibrium
thermodynamics. Considering the fluctuation theorem with respect to the entropy
production and an observable, we derive a new thermodynamic uncertainty
relation which also applies to non-cyclic and time-reversal non-symmetric
protocols. Furthermore, we investigate the relation between the thermodynamic
uncertainty relation and the correlation between the entropy and the
observable.
Related papers
- A family of thermodynamic uncertainty relations valid for general fluctuation theorems [0.0]
We derive a family of TURs that explores higher order moments of the entropy production.
The resulting bound holds in both classical and quantum regimes.
We draw a connection between our TURs and the existence of correlations between the entropy production and the thermodynamic quantity under consideration.
arXiv Detail & Related papers (2024-07-15T02:00:53Z) - Thermodynamics-Consistent Graph Neural Networks [50.0791489606211]
We propose excess Gibbs free energy graph neural networks (GE-GNNs) for predicting composition-dependent activity coefficients of binary mixtures.
The GE-GNN architecture ensures thermodynamic consistency by predicting the molar excess Gibbs free energy.
We demonstrate high accuracy and thermodynamic consistency of the activity coefficient predictions.
arXiv Detail & Related papers (2024-07-08T06:58:56Z) - Operator-based quantum thermodynamic uncertainty relations [0.0]
Heisenberg uncertainty relation has an important footprint on the quantum behavior of a physical system.
Motivated by this principle, we propose that thermodynamic currents associated with work, heat, and internal energy are described by well-defined Hermitian operators.
arXiv Detail & Related papers (2024-06-17T18:00:17Z) - Quantum relative entropy uncertainty relation [0.0]
For classic systems, the fluctuations of a current have a lower bound in terms of the entropy production.
We generalize this idea for quantum systems, where we find a lower bound for the uncertainty of quantum observables given in terms of the quantum relative entropy.
We apply the result to obtain a quantum thermodynamic uncertainty relation in terms of the quantum entropy production, valid for arbitrary dynamics and non-thermal environments.
arXiv Detail & Related papers (2023-09-15T18:58:51Z) - Entropy Cost of "Erasure" in Physically Irreversible Processes [0.0]
A restricted form of Landauer's Principle is shown to hold for thermal systems.
A further implication of the analysis is that, in principle, there can be no Maxwell's Demon in the real world.
arXiv Detail & Related papers (2023-07-05T20:23:04Z) - Noncommuting conserved charges in quantum thermodynamics and beyond [39.781091151259766]
How do noncommuting charges affect thermodynamic phenomena?
Charges' noncommutation has been found to invalidate derivations of the thermal state's form.
Evidence suggests that noncommuting charges may hinder thermalization in some ways while enhancing thermalization in others.
arXiv Detail & Related papers (2023-05-31T18:00:00Z) - Correspondence Between the Energy Equipartition Theorem in Classical
Mechanics and its Phase-Space Formulation in Quantum Mechanics [62.997667081978825]
In quantum mechanics, the energy per degree of freedom is not equally distributed.
We show that in the high-temperature regime, the classical result is recovered.
arXiv Detail & Related papers (2022-05-24T20:51:03Z) - Gauge Quantum Thermodynamics of Time-local non-Markovian Evolutions [77.34726150561087]
We deal with a generic time-local non-Markovian master equation.
We define current and power to be process-dependent as in classical thermodynamics.
Applying the theory to quantum thermal engines, we show that gauge transformations can change the machine efficiency.
arXiv Detail & Related papers (2022-04-06T17:59:15Z) - Open-system approach to nonequilibrium quantum thermodynamics at
arbitrary coupling [77.34726150561087]
We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths.
Our approach is based on the exact time-local quantum master equation for the reduced open system states.
arXiv Detail & Related papers (2021-09-24T11:19:22Z) - Irreversibility, Loschmidt echo, and thermodynamic uncertainty relation [4.111899441919164]
We consider the thermodynamic uncertainty relation, which states that a higher precision can be achieved at the cost of higher entropy production.
Considering the original and perturbed dynamics, we show that the precision of an arbitrary counting observable in continuous measurement of quantum Markov processes is bounded from below by Loschmidt echo.
arXiv Detail & Related papers (2021-01-18T01:42:11Z) - Out-of-equilibrium quantum thermodynamics in the Bloch sphere:
temperature and internal entropy production [68.8204255655161]
An explicit expression for the temperature of an open two-level quantum system is obtained.
This temperature coincides with the environment temperature if the system reaches thermal equilibrium with a heat reservoir.
We show that within this theoretical framework the total entropy production can be partitioned into two contributions.
arXiv Detail & Related papers (2020-04-09T23:06:43Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.