A New Realism in Physical Theory

Wyllie, Guilherme

doi:10.1088/0031-9112/11/3/001

Cited by 2 publications

(3 citation statements)

References 5 publications

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“…One may think of the surroundings as being shoved aside, although this cause-effect reasoning violates time-reversal symmetry. If there is spherical symmetry, the surroundings are subject to a pure shear displacement [7,13,17]. Thus the work done is proportional to the instantaneous shear modulus G ∞ and one finds [13] (where V c is by assumption temperature independent)(2)This expression [18] fits data for the non-Arrhenius be-havior of several molecular liquids [13]; in combination with the Tool-Narayanaswami formalism the shoving model has been applied also to structural (i.e., nonlinear) relaxations [19].…”

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Landscape equivalent of the shoving model

2004

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It is shown that the shoving model expression for the average relaxation time of viscous liquids, according to which the activation energy is proportional to the instantaneous shear modulus, follows largely from a classical "landscape" estimation of barrier heights from curvature at energy minima. Although the activation energy in this reasoning involves both instantaneous bulk and shear moduli, the bulk modulus contributes less than 8% to the temperature dependence of the activation energy. This reflects the fact that the physics of the two models are closely related.

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Landscape equivalent of the shoving model

2004

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“…This is not realistic, however, so there is no reason to expect the total displacements to be zero. According to standard elasticity theory [10,31,57,58] displacements far from the center of the flow event are small, varying with distance as r −2 . Their contribution to ∆R is insignificant, so we expect…”

Section: Diffusion Constant Decoupling As a Consequence Of Soliditymentioning

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Solidity of viscous liquids. III. α relaxation

Dyre

2005

Phys. Rev. E

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It is suggested that the omega(-1/2) high-frequency decay of the alpha loss in highly viscous liquids, which appears to be generic, is a manifestation of a negative long-time tail as typically encountered in stochastic dynamics. The proposed mechanism requires that the coherent diffusion constant is much larger than estimated from the alpha relaxation time. This is justified by reference to the solidity of viscous liquids in an argument which, by utilizing the irrelevance of momentum conservation at high viscosity and introducing a center of mass diffusion constant, implies that at high viscosity the coherent diffusion constant is much larger than the incoherent diffusion constant.

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A New Realism in Physical Theory

Cited by 2 publications

References 5 publications

Landscape equivalent of the shoving model

Landscape equivalent of the shoving model

Solidity of viscous liquids. III. α relaxation

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