Quasi-solid state microscopic dynamics in equilibrium classical liquids: Self-consistent relaxation theory

Мокшин, А. В.; Khusnutdinoff, R. M.; Vilf, Ya. Z.; Galimzyanov, Bulat N.

doi:10.1134/s0040577921020082

Cited by 7 publications

(5 citation statements)

References 55 publications

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“…Recently Ref. [51] raised the problem that to quantify the k-gap phenomenon in liquids it is not sufficient to know only a single critical wave number k g determining the k-gap scale, because there is a crossover range of a finite width in momentum space.…”

Section: A Theoretical Backgroundmentioning

confidence: 99%

“…For completeness, let us emphasize that the questions and the phenomena described in this paper are well known in the physics of liquids. Previous theoretical frameworks include viscoelastic theory [47], generalized hydrodynamics [48,49], mode coupling theory [50], self-consistent relaxation theory [51], and k-gap theory [13]. Importantly, all these frameworks are in a sense phenomenological and not derived from fundamental principles.…”

Section: Introductionmentioning

confidence: 99%

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Deformations, relaxation, and broken symmetries in liquids, solids, and glasses: A unified topological field theory

2022

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We combine hydrodynamic and field theoretic methods to develop a general theory of phonons as Goldstone bosons in crystals, glasses, and liquids based on nonaffine displacements and the consequent Goldstone phase relaxation. We relate the conservation, or lack thereof, of specific higher-form currents with properties of the underlying deformation field-nonaffinity-which dictates how molecules move under an applied stress or deformation. In particular, the single-valuedness of the deformation field is associated with conservation of higher-form charges that count the number of topological defects. Our formalism predicts, from first principles, the presence of propagating shear waves above a critical wave vector in liquids, thus giving a formal derivation of the phenomenon in terms of fundamental symmetries. The same picture provides also a theoretical explanation of the corresponding "positive sound dispersion" phenomenon for longitudinal sound. Importantly, accordingly to our theory, the main collective relaxation timescale of a liquid or a glass (known as the α relaxation for the latter) is given by the phase relaxation time, which is not necessarily related to the Maxwell time. Finally, we build a nonequilibrium effective action using the in-in formalism defined on the Schwinger-Keldysh contour, that further supports the emerging picture. In summary, our work suggests that the fundamental difference between solids, fluids, and glasses has to be identified with the associated generalized higher-form global symmetries and their topological structure, and that the Burgers vector for the displacement fields serves as a suitable topological order parameter distinguishing the solid (ordered) phase and the amorphous ones (fluids, glasses).

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Section: A Theoretical Backgroundmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Deformations, relaxation, and broken symmetries in liquids, solids, and glasses: A unified topological field theory

2022

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“…the set W(k) is solved in a self-consistent way as, for example, in the self-consistent mode-coupling theory [38][39][40][41][42], and no approximations of these time correlation functions by any model functions with free parameters are required [43]. This also becomes possible when the entire infinite set of sum rules (2) [or (3)] is known [31,36,[44][45][46]. In the case we consider here, the theoretical procedure is nonperturbative, which is especially appropriate for the description of the systems we are dealing with here.…”

Section: Theoretical Formalismmentioning

confidence: 99%

Self-consistent relaxation theory of collective ion dynamics in Yukawa one-component plasmas under intermediate screening regimes

2022

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The self-consistent relaxation theory is employed to describe the collective ion dynamics in strongly coupled Yukawa classical one-component plasmas. The theory is applied to equilibrium states corresponding to intermediate screening regimes with appropriate values of the structure and coupling parameters. The information about the structure (the radial distribution function and the static structure factor) and the thermodynamics of the system are sufficient to describe collective dynamics over a wide range of spatial scales, namely, from the extended hydrodynamic to the microscopic dynamics scale. The main experimentally measurable characteristics of the equilibrium collective dynamics of ions-the spectrum of the dynamic structure factor, the dispersion parameters, the speed of sound, and the sound attenuation-are determined within the framework of the theory without using any adjustable parameters. The results demonstrate agreement with molecular dynamics simulations. Thus a direct realization is presented of the key idea of statistical mechanics: for the theoretical description of the collective particle dynamics in equilibrium fluids it is sufficient to know the interparticle interaction potential and the structural characteristics. Comparison with alternative or complementary theoretical approaches is provided.

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“…On the other hand, the study of the dynamics of such a system can be carried out by molecular dynamics simulation with some given potential [4]. In this case, the frequency spectra of time correlation functions of dynamical variables are of the greatest interest [5]. As such a variable, it is convenient to choose the quantity…”

Section: Introductionmentioning

confidence: 99%

Local density dynamics in a supercritical Lennard-Jones fluid

Khabibullin

2022

J. Phys.: Conf. Ser.

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The collective particle dynamics of supercritical Lennard-Jones fluid is investigated on the basis of molecular dynamic modeling data. The intermediate scattering functions and dynamic structure factor spectra for the wavenumber range k ∈ [0.18; 3.26] σ−1 were calculated. The characteristics of dynamic structure factor spectra such as the thermal diffusivity and the sound velocity were estimated.

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Quasi-solid state microscopic dynamics in equilibrium classical liquids: Self-consistent relaxation theory

Cited by 7 publications

References 55 publications

Deformations, relaxation, and broken symmetries in liquids, solids, and glasses: A unified topological field theory

Deformations, relaxation, and broken symmetries in liquids, solids, and glasses: A unified topological field theory

Self-consistent relaxation theory of collective ion dynamics in Yukawa one-component plasmas under intermediate screening regimes

Local density dynamics in a supercritical Lennard-Jones fluid

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