2020
DOI: 10.3390/e22080887
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Time, Irreversibility and Entropy Production in Nonequilibrium Systems

Abstract: The aim of this review is to shed light on time and irreversibility, in order to link macroscopic to microscopic approaches to these complicated problems. After a brief summary of the standard notions of thermodynamics, we introduce some considerations about certain fundamental aspects of temporal evolution of out-of-equilibrium systems. Our focus is on the notion of entropy generation as the marked characteristic of irreversible behaviour. The concept of time and the basic aspects of the thermalization of the… Show more

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Cited by 34 publications
(34 citation statements)
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“…The link between nonequilibrium temperature and the characteristic time imply that nonequilibrium temperature is related to the universal computation and the ubiquitous 1/ν phenomena [95,96]. Therefore, we agree with the results of Chua et al, who proved that there exists a fundamental relationship between universal computation and the ubiquitous 1/ν phenomena [97].…”
Section: Resultssupporting
confidence: 92%
“…The link between nonequilibrium temperature and the characteristic time imply that nonequilibrium temperature is related to the universal computation and the ubiquitous 1/ν phenomena [95,96]. Therefore, we agree with the results of Chua et al, who proved that there exists a fundamental relationship between universal computation and the ubiquitous 1/ν phenomena [97].…”
Section: Resultssupporting
confidence: 92%
“…Thinking about a thermodynamic system from the point of view of a landscape (or a manifold) brings us closer to develop a theoretical approach in quantifying emergent order in non-equilibrium steady-states where local equilibrium is satisfied [29,28,58]. Being able to define a steady-state nonequilibrium state variable precisely, allows us the freedom to quantify entropy production due to heat fluxes and calculate thermodynamic forces [59,60,61,33,62]. The validity of the current work also sets the stage to apply variational methods to describe the evolution of non-equilibrium steady-states, study bistability, bifurcation, and test the MEPP in Rayleigh-Bénard and other prototypical irreversible systems [10,63,64,65].…”
Section: Discussionmentioning
confidence: 99%
“…To let time go [ 31 , 32 , 33 , 34 ] and replace its function by a causality principle is a difficult task apparently, but to the authors it is a much easier task than to let go of causality. However, further elaborations on the concept of causality both at the mathematical [ 35 , 36 ] and physical level [ 1 , 23 , 37 ] and the link to the macroscopic arrow of time [ 18 , 38 , 39 , 40 , 41 , 42 ] are indicated to be key for a further development of fundamental physical theories. With the introduction of causality introduced here, time can only be reconstructed as a discrete entity also yielding other consequences from entropy [ 16 , 18 , 38 ] to the evolution of the universe [ 43 ] and many other findings [ 44 , 45 , 46 , 47 , 48 ], and thus opening more avenues to be studied.…”
Section: Discussionmentioning
confidence: 99%