scholarly journals A thermodynamic fluctuation relation for temperature and energy

2009 ◽  
Vol 42 (9) ◽  
pp. 095006 ◽  
Author(s):  
L Velazquez ◽  
S Curilef
Entropy ◽  
2020 ◽  
Vol 22 (7) ◽  
pp. 716
Author(s):  
Giorgio Viavattene ◽  
Giuseppe Consolini ◽  
Luca Giovannelli ◽  
Francesco Berrilli ◽  
Dario Del Moro ◽  
...  

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.


2020 ◽  
Vol 101 (5) ◽  
Author(s):  
P. H. Souto Ribeiro ◽  
T. Häffner ◽  
G. L. Zanin ◽  
N. Rubiano da Silva ◽  
R. Medeiros de Araújo ◽  
...  

2019 ◽  
Vol 31 (10) ◽  
pp. 1950036 ◽  
Author(s):  
Noé Cuneo ◽  
Vojkan Jakšić ◽  
Claude-Alain Pillet ◽  
Armen Shirikyan

We establish the Level-1 and Level-3 Large Deviation Principles (LDPs) for invariant measures on shift spaces over finite alphabets under very general decoupling conditions for which the thermodynamic formalism does not apply. Such decoupling conditions arise naturally in multifractal analysis, in Gibbs states with hard-core interactions, and in the statistics of repeated quantum measurement processes. We also prove the LDP for the entropy production of pairs of such measures and derive the related Fluctuation Relation. The proofs are based on Ruelle–Lanford functions, and the exposition is essentially self-contained.


Entropy ◽  
2013 ◽  
Vol 15 (12) ◽  
pp. 1503-1515 ◽  
Author(s):  
Debra Searles ◽  
Barbara Johnston ◽  
Denis Evans ◽  
Lamberto Rondoni

2008 ◽  
Vol 133 (4) ◽  
pp. 617-637 ◽  
Author(s):  
Carlos Mejía-Monasterio ◽  
Lamberto Rondoni
Keyword(s):  

2015 ◽  
Vol 2015 ◽  
pp. 1-12
Author(s):  
Jing Zhang ◽  
Rui Ye ◽  
Jun Zou ◽  
Jijun Tang ◽  
Hongliang Wang

The isothermal curing of polymethacrylimide (PMI) is studied through the use of dynamic mechanical analysis (DMA). Based on the growth rate of measured dynamic mechanical property, the relative conversion is defined to investigate the evolution of storage modulusE′at different curing temperatures. Hsich’s nonequilibrium thermodynamic fluctuation theory, Avrami equation, and isoconversional methods are used to analyze isothermal cure kinetics of PMI. The results show that there are different increase modes ofE′at low temperature range and high temperature range, respectively. In low temperature range, the relative conversion curves include a transitional stage which is found to be strongly frequency-dependent, but this stage is not observed in the relative conversion curve in high temperature range. During the isothermal curing process, the relative evolution ofE′can be described by Hsich’s nonequilibrium thermodynamic fluctuation theory and Avrami equation. Moreover, the values and evolutions of activation energy are different in two temperature ranges, which suggest that the curing mechanism probably has changed.


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