Generalized dielectric permittivity of ice

Klyuev, Alexey V.; Рыжкин, И. А.; Ryzhkin, M. I.

doi:10.1134/s0021364014210073

Cited by 15 publications

(10 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In a real crystal, with open boundary conditions, these topological sectors correspond to the different possible values of the electrical polarisation of the crystal. The very high dielectric constant of water ice [5], can therefore be interpreted as evidence of fluctuations between different topological sectors [29,33,64,65].…”

Section: Classical and Quantum Models Of Hexagonal (Ih) Water Icementioning

confidence: 99%

Classical and quantum theories of proton disorder in hexagonal water ice

2016

View full text Add to dashboard Cite

It has been known since the pioneering work of Bernal, Fowler and Pauling that common, hexagonal (Ih) water ice is the archetype of a frustrated material : a proton-bonded network in which protons satisfy strong local constraints -the "ice rules" -but do not order. While this proton disorder is well established, there is now a growing body of evidence that quantum effects may also have a role to play in the physics of ice at low temperatures. In this Article we use a combination of numerical and analytic techniques to explore the nature of proton correlations in both classical and quantum models of ice Ih. In the case of classical ice Ih, we find that the ice rules have two, distinct, consequences for scattering experiments -singular "pinch points", reflecting a zero-divergence condition on the uniform polarization of the crystal, and broad, asymmetric features, coming from its staggered polarisation. In the case of the quantum model, we find that the collective quantum tunnelling of groups of protons can convert states obeying the ice rules into a quantum liquid, whose excitations are birefringent, emergent photons. We make explicit predictions for scattering experiments on both classical and quantum ice Ih, and show how the quantum theory can explain the "wings" of incoherent inelastic scattering observed in recent neutron scattering experiments [Bove et al., Phys. Rev. Lett. 103, 165901 (2009)]. These results raise the intriguing possibility that the protons in ice Ih could form a quantum liquid at low temperatures, in which protons are not merely disordered, but continually fluctuate between different configurations obeying the ice rules.

show abstract

Section: Classical and Quantum Models Of Hexagonal (Ih) Water Icementioning

confidence: 99%

Classical and quantum theories of proton disorder in hexagonal water ice

2016

View full text Add to dashboard Cite

show abstract

“…1(c). The DL defects are seen as quasi particles because they behave in a way similar to a real charged particle [13]. However, they are not real physical particles but only a temporary deviations of the Bernal-Fowler rule in the ice structure.…”

Section: Four Types Of Defectsmentioning

confidence: 99%

An electrodiffusion model for Jaccard's theory in ice

Poorter¹

2020

Preprint

View full text Add to dashboard Cite

Jaccards' theory describes the movement of both ionic and Bjerrum defects in ice. Standard descriptions of the theory are based on a chain model describing the movement of these defects along well-oriented chains of water molecules. However, this model contains several fundamental contradictions and does not result in the exact equations. We present an alternative model based on the electrodiffusion of the defects. The polarisation of the ice specimen favours these defects orientations that diffuse opposite to the electric drift of the same defect. This straightforward approach not only results in the correct equations, it also provides a better understanding of the defects' kinetics.

show abstract

“…The Bjerrum defects can also separate and move independently throughout the lattice. They are seen as quasi particles because they behave in a way similar to a real charged particle [5]. However, they are not real physical particles, but only a temporary deviations of the Bernal-Fowler rule in the ice structure.…”

Section: Defects In Icementioning

confidence: 99%

“…The main idea of this paper is that these problems arise from the confusion between bound and free charges and that the introduction of the configuration vector is unnecessary. Klyuev and others [5] address this difference between bound and free charges and define the mobile defects in ice as quasi particles. However, they use a more general formulation for the dynamics of the quasi particles thereby circumventing the problems of the standard formulation.…”

mentioning

confidence: 99%

An improved formulation of Jaccard’s theory of the electric properties of ice

Poorter¹

2019

Eur. Phys. J. B

View full text Add to dashboard Cite

In the standard derivation of Jaccard's theory of the electric properties of ice, no fundamental distinction is made between bound and free charges. This leads to some didactical problems like the ad hoc introduction of the so-called 'configuration vector' Ω. However, when the two types of charges are distinguished, it becomes clear that Ω is redundant and proportional to the polarisation density. We also show that Jaccard's formulation contains a wrong formula for the electric susceptibility and that the correct Φ factor can be derived from a straightforward kinetic approach (which Jaccard failed to do).

show abstract

Generalized dielectric permittivity of ice

Cited by 15 publications

References 13 publications

Classical and quantum theories of proton disorder in hexagonal water ice

Classical and quantum theories of proton disorder in hexagonal water ice

An electrodiffusion model for Jaccard's theory in ice

An improved formulation of Jaccard’s theory of the electric properties of ice

Contact Info

Product

Resources

About