scholarly journals The large deviation principle and steady-state fluctuation theorem for the entropy production rate of a stochastic process in magnetic fields

2016 ◽  
Vol 57 (7) ◽  
pp. 073302 ◽  
Author(s):  
Yong Chen ◽  
Hao Ge ◽  
Jie Xiong ◽  
Lihu Xu
Keyword(s):  
Stochastic Process ◽  
Steady State ◽  
Magnetic Fields ◽  
Entropy Production ◽  
Production Rate ◽  
Large Deviation Principle ◽  
Large Deviation ◽  
Fluctuation Theorem ◽  
Entropy Production Rate ◽  
Deviation Principle

scholarly journals Testing the Steady-State Fluctuation Relation in the Solar Photospheric Convection

Entropy ◽  
2020 ◽  
Vol 22 (7) ◽  
pp. 716
Author(s):  
Giorgio Viavattene ◽  
Giuseppe Consolini ◽  
Luca Giovannelli ◽  
Francesco Berrilli ◽  
Dario Del Moro ◽  
...  
Keyword(s):  
Steady State ◽  
Entropy Production ◽  
Production Rate ◽  
Local Level ◽  
Entropy Production Rate ◽  
Quasi Steady State ◽  
The Sun ◽  
Statistical Features ◽  
Local Entropy ◽  
Fluctuation Relation

The turbulent thermal convection on the Sun is an example of an irreversible non-equilibrium phenomenon in a quasi-steady state characterized by a continuous entropy production rate. Here, the statistical features of a proxy of the local entropy production rate, in solar quiet regions at different timescales, are investigated and compared with the symmetry conjecture of the steady-state fluctuation theorem by Gallavotti and Cohen. Our results show that solar turbulent convection satisfies the symmetries predicted by the fluctuation relation of the Gallavotti and Cohen theorem at a local level.

Entropy production rate in tokamaks with nonaxisymmetric magnetic fields

2010 ◽  
Vol 17 (7) ◽  
pp. 072505 ◽  
Author(s):  
X. Garbet ◽  
J. Abiteboul ◽  
E. Trier ◽  
Ö. Gürcan ◽  
Y. Sarazin ◽  
...  
Keyword(s):  
Magnetic Fields ◽  
Entropy Production ◽  
Production Rate ◽  
Entropy Production Rate

Steady state traffic flow, entropy production rate, temporal fluctuations and fuel consumption

2006 ◽  
Vol 361 (2) ◽  
pp. 630-642 ◽  
Author(s):  
J.A. Montemayor-Aldrete ◽  
P. Ugalde-Vélez ◽  
M. del Castillo-Mussot ◽  
C.A. Vázquez-Villanueva ◽  
G.J. Vázquez ◽  
...  
Keyword(s):  
Steady State ◽  
Entropy Production ◽  
Production Rate ◽  
Fuel Consumption ◽  
Traffic Flow ◽  
Entropy Production Rate ◽  
Temporal Fluctuations

scholarly journals Non-Equilibrium Thermodynamics and Stochastic Dynamics of a Bistable Catalytic Surface Reaction

Entropy ◽  
2018 ◽  
Vol 20 (11) ◽  
pp. 811 ◽  
Author(s):  
Miguel Pineda ◽  
Michail Stamatakis
Keyword(s):  
Steady State ◽  
Entropy Production ◽  
Production Rate ◽  
Surface Reaction ◽  
Stochastic Dynamics ◽  
Reaction System ◽  
Entropy Production Rate ◽  
Minimum Entropy ◽  
Catalytic Surface ◽  
Non Equilibrium

Catalytic surface reaction networks exhibit nonlinear dissipative phenomena, such as bistability. Macroscopic rate law descriptions predict that the reaction system resides on one of the two steady-state branches of the bistable region for an indefinite period of time. However, the smaller the catalytic surface, the greater the influence of coverage fluctuations, given that their amplitude normally scales as the square root of the system size. Thus, one can observe fluctuation-induced transitions between the steady-states. In this work, a model for the bistable catalytic CO oxidation on small surfaces is studied. After a brief introduction of the average stochastic modelling framework and its corresponding deterministic limit, we discuss the non-equilibrium conditions necessary for bistability. The entropy production rate, an important thermodynamic quantity measuring dissipation in a system, is compared across the two approaches. We conclude that, in our catalytic model, the most favorable non-equilibrium steady state is not necessary the state with the maximum or minimum entropy production rate.

Large deviation principle for the field in prequantum classical statistical field theory

2017 ◽  
Vol 20 (04) ◽  
pp. 1750025
Author(s):  
Andrei Khrennikov ◽  
Achref Majid
Keyword(s):  
Field Theory ◽  
Random Field ◽  
Field Model ◽  
Large Deviation Principle ◽  
Large Deviation ◽  
Background Field ◽  
Deviation Principle ◽  
Statistical Field ◽  
Statistical Field Theory

In this paper, we prove a large deviation principle for the background field in prequantum statistical field model. We show a number of examples by choosing a specific random field in our model.

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