Symmetry breaking gives rise to energy spectra of three states of matter

Bolmatov, Dima; Musaev, Edvard T.; Trachenko, Kostya

doi:10.1038/srep02794

Cited by 39 publications

(113 citation statements)

References 18 publications

(17 reference statements)

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“…since c = 1. Decreasing the temperature, outside the range of validity of our formulas because of the strong momentum relaxation, we find that the relaxation time is better fitted by the expression 12 :…”

Section: The K-gap and Maxwell Interpolationmentioning

confidence: 86%

Low frequency propagating shear waves in holographic liquids

Baggioli

Trachenko

2019

J. High Energ. Phys.

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Recently, it has been realized that liquids are able to support solid-like transverse modes with an interesting gap in momentum space developing in the dispersion relation. We show that this gap is also present in simple holographic bottom-up models, and it is strikingly similar to the gap in liquids in several respects. Firstly, the appropriately defined relaxation time in the holographic models decreases with temperature in the same way. More importantly, the holographic k-gap increases with temperature and with the inverse of the relaxation time. Our results suggest that the Maxwell-Frenkel approach to liquids, involving the additivity of liquid hydrodynamic and solid-like elastic responses, can be applicable to a much wider class of physical systems and effects than thought previously, including relativistic models and stronglycoupled quantum field theories. More precisely, the dispersion relation of the propagating shear waves is in perfect agreement with the Maxwell-Frenkel approach. On the contrary the relaxation time appearing in the holographic models considered does not match the Maxwell prediction in terms of the shear viscosity and the instantaneous elastic modulus but it shares the same temperature dependence.

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Section: The K-gap and Maxwell Interpolationmentioning

confidence: 86%

Low frequency propagating shear waves in holographic liquids

Baggioli

Trachenko

2019

J. High Energ. Phys.

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“…-The study of spatial pattern formation is intimately related to the study of phase transitions from a translationally invariant fluid to a solid. We refer to the study of Landau which opened the field [44] and to two recent papers relying on similar techniques [58,59]. The branch of research related to stripe and density wave formation is huge too, for a review paper aiming at a systematic organization in the context of the copper-oxides we refer to [20].…”

Section: A Related Literaturementioning

confidence: 99%

Simplest phonons and pseudo-phonons in field theory

Musso

2019

Eur. Phys. J. C

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We study the emergence of Nambu-Goldstone modes due to broken translation symmetry in field theory. Purely spontaneous breaking yields a massless phonon which develops a mass upon introducing a perturbative explicit breaking. The pseudo-phonon mass agrees with Gell Mann-Oakes-Renner relations. We analyze the simplest possible theories featuring gradient Mexican hats and describing space-dependent order parameters. We comment on homogeneous translation breaking and the connections with holographic Q-lattices.

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“…This lack of knowledge can be overcome ideally by studying extreme supercritical conditions where PSD amplitude has been observed to disappear experimentally, 2 and the transverse sound propagation has been predicted to disappear theoretically. [6][7][8][9] Given these grounds, we decided to use inelastic X-ray scattering (IXS) technique and molecular dynamics (MD) simulations to determine the S(q, ω) of a simple monoatomic liquid (liquid Argon) in deeply supercritical conditions. The evolution of the THz spectrum of liquid Ar beyond the hydrodynamic limit has been in the focus of a thorough scrutiny which include Brillouin light scattering, 10 inelastic neutron 11 (INS) and x-ray 5 scattering (IXS) measurements, as well as molecular dynamics simulations.…”

mentioning

confidence: 99%

Revealing the Mechanism of the Viscous-to-Elastic Crossover in Liquids

Bolmatov

Zhernenkov

Zav’yalov

et al. 2015

J. Phys. Chem. Lett.

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In this work we report on inelastic X-ray scattering experiments combined with the molecular dynamics simulations on deeply supercritical Ar. The presented results unveil the mechanism and regimes of sound propagation in the liquid matter, and provide a compelling evidence for the adiabatic-to-isothermal longitudinal sound propagation transition. We introduce a Hamiltonian predicting low-frequency transverse sound propagation gaps which is confirmed by experimental findings and molecular dynamics calculations. As a result, a universal link is established between the positive sound dispersion (PSD) phenomenon and the origin of transverse sound propagation revealing the viscous-to-elastic crossover in liquids. The PSD and transverse phononic excitations evolve consistently with theoretical predictions. Both can be considered as a universal fingerprint of the dynamic response of a liquid which is also observable in a sub-domain of supercritical phase. The simultaneous disappearance of both these effects at elevated temperatures is a manifestation of the Frenkel line. We expect that these findings will advance the current understanding of fluids under extreme thermodynamic conditions.

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Symmetry breaking gives rise to energy spectra of three states of matter

Cited by 39 publications

References 18 publications

Low frequency propagating shear waves in holographic liquids

Low frequency propagating shear waves in holographic liquids

Simplest phonons and pseudo-phonons in field theory

Revealing the Mechanism of the Viscous-to-Elastic Crossover in Liquids

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