Liquid Metals

March, N. H.

doi:10.1017/cbo9780511563928

Cited by 121 publications

(55 citation statements)

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“…In this sense, the approach is from the gas state, in that a liquid is considered to be a gas with interactions switched on. In the approach from the gas state, liquid energy can be written in a generalized form as [1][2][3][4][5][6]:…”

Section: Two Approaches To Liquid Energy: Discussionmentioning

confidence: 99%

“…An apt summary of this state of affairs, attributed to Landau, is that liquids "have no small parameter". Perhaps for this reason, liquid heat capacity is not, or is barely, mentioned in statistical physics textbooks as well as books dedicated to liquids [1][2][3][4][5][6]. This observation is shared by Granato [7], who further comments on the challenge faced by teachers to discuss liquid heat capacity in class.…”

Section: Introductionmentioning

confidence: 99%

“…Historically, liquids have predominantly been approached from the gas state, by developing schemes to calculate the interaction energy in addition to gas kinetic energy [1][2][3][4][5][6]. This approach relies on the knowledge of interatomic interactions as well as correlation functions [13,14].…”

Section: Introductionmentioning

confidence: 99%

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Liquid heat capacity in the approach from the solid state: Anharmonic theory

Bolmatov

Trachenko

2011

Phys. Rev. B

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Calculating liquid energy and heat capacity in general form is an open problem in condensed matter physics. We develop a recent approach to liquids from the solid state by accounting for the contribution of anharmonicity and thermal expansion to liquid energy and heat capacity. We subsequently compare theoretical predictions to the experiments results of 5 commonly discussed liquids, and find a good agreement with no free fitting parameters. We discuss and compare the proposed theory to previous approaches.

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Section: Two Approaches To Liquid Energy: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Liquid heat capacity in the approach from the solid state: Anharmonic theory

Bolmatov

Trachenko

2011

Phys. Rev. B

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“…In comparison, the discussion of liquid thermodynamic properties such as heat capacity is nearly non-existent. Indeed, physics textbooks have very little, if anything, to say about liquid specific heat, including textbooks dedicated to liquids [2][3][4][5][6][7][8][9][10][11][12]. In an amusing story about his teaching experience in the University of Illinois (UIUC), Granato recalls living in fear about a potential student question about liquid heat capacity [13].…”

Section: Introductionmentioning

confidence: 99%

Collective modes and thermodynamics of the liquid state

2015

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Strongly interacting, dynamically disordered and with no small parameter, liquids took a theoretical status between gases and solids, with the historical tradition of hydrodynamic description as the starting point. We review different approaches to liquids as well as recent experimental and theoretical work, and propose that liquids do not need classifying in terms of their proximity to gases and solids or any categorizing for that matter. Instead, they are a unique system in their own class with a notably mixed dynamical state in contrast to pure dynamical states of solids and gases. We start with explaining how the first-principles approach to liquids is an intractable, exponentially complex problem of coupled non-linear oscillators with bifurcations. This is followed by a reduction of the problem based on liquid relaxation time τ representing non-perturbative treatment of strong interactions. On the basis of τ , solid-like high-frequency modes are predicted and we review related recent experiments. We demonstrate how the propagation of these modes can be derived by generalizing either hydrodynamic or elasticity equations. We comment on the historical trend to approach liquids using hydrodynamics and compare it to an alternative solid-like approach. We subsequently discuss how collective modes evolve with temperature and how this evolution affects liquid energy and heat capacity as well as other properties such as fast sound. Here, our emphasis is on understanding experimental data in real, rather than model, liquids. Highlighting the dominant role of solid-like high-frequency modes for liquid energy and heat capacity, we review a wide range of liquids: subcritical low-viscous liquids, supercritical state with two different dynamical and thermodynamic regimes separated by the Frenkel line, highly-viscous liquids in the glass transformation range and liquid-glass transition. We subsequently discuss the fairly recent area of liquid-liquid phase transitions, the area where the solid-like properties of liquids have become further apparent. We then discuss gas-like and solid-like approaches to quantum liquids and theoretical issues that are similar to the classical case. Finally, we summarize the emergent view of liquids as a unique system in a mixed dynamical state, and list several areas where interesting insights may appear and continue the extraordinary liquid story.

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“…Studying dynamic processes and transport phenomena in disordered systems is one of the most important problems of the modern physics of condensed matter [1,2]. For example, the collective dynamics of particles on spatial scales of the order of several interatomic distances in liquids has currently aroused particular interest [3].…”

Section: Introductionmentioning

confidence: 99%

Collective dynamics in liquid aluminum near the melting temperature: Theory and computer simulation

Мокшин

Yulmetyev

Хуснутдинов

et al. 2006

J. Exp. Theor. Phys.

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-The microscopic collective dynamics of liquid aluminum near the melting temperature has been studied using two independent methods: first, using a theoretical approach developed in terms of the ZwanzigMori formalism and based on Bogolyubov's idea of reduced description of relaxation processes in liquids; second, using molecular dynamics simulation. The X-ray inelastic scattering spectra obtained with the theoretical approach and computer simulation are compared with experimental data. The high-frequency acoustic excitations that appear on microscopic spatial scales in liquid aluminum are found to be mainly caused by two-, three-, and four-particle interactions.

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Liquid Metals

Cited by 121 publications

References 0 publications

Liquid heat capacity in the approach from the solid state: Anharmonic theory

Liquid heat capacity in the approach from the solid state: Anharmonic theory

Collective modes and thermodynamics of the liquid state

Collective dynamics in liquid aluminum near the melting temperature: Theory and computer simulation

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