2018
DOI: 10.1063/1.5022999
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Isomorph theory of physical aging

Abstract: This paper derives and discusses the configuration-space Langevin equation describing a physically aging R-simple system and the corresponding Smoluchowski equation. Externally controlled thermodynamic variables like temperature, density, and pressure enter the description via the single parameter T s /T, in which T is the bath temperature and T s is the "systemic" temperature defined at any time t as the thermodynamic equilibrium temperature of the state point with density ρ(t) and potential energy U(t). In e… Show more

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Cited by 21 publications
(20 citation statements)
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References 108 publications
(181 reference statements)
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“…It should be mentioned parenthetically that the meaning of the term aging in biology is not the same as in physics, e.g. (Dyre 2018 ), as well as in the common sense.…”
Section: Physics As a Paragonmentioning
confidence: 99%
“…It should be mentioned parenthetically that the meaning of the term aging in biology is not the same as in physics, e.g. (Dyre 2018 ), as well as in the common sense.…”
Section: Physics As a Paragonmentioning
confidence: 99%
“…In thermal equilibrium this derivative is T , but in a more general context it needs a separate name. For any configuration R the systemic temperature T s (R) is defined [38] by…”
Section: A the Systemic Temperature Tsmentioning
confidence: 99%
“…Consider first Brownian dynamics, which was dealt with in detail in Ref. 38 that introduced the concept of a systemic temperature. The Langevin equation of motion is [40,41]…”
Section: Ts/t Controls the Reduced Dynamics Along A Systemic Isomorphmentioning
confidence: 99%
See 1 more Smart Citation
“…Binding relationships were also proposed for the transport properties of substances [ 3 , 4 , 5 , 6 ], but they are not rigorous and are based on various models and assumptions. The idea of the global isomorphism of properties was widely developed [ 7 , 8 , 9 , 10 , 11 ]. The idea of isomorphism is based on the proposition that in dimensionless variables, the properties of different substances have the same, or similar, behavior.…”
Section: Introductionmentioning
confidence: 99%