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The prediction of the melting curve of metals by extrapolation to high pressures and temperatures based on the Lindemann-Gilvarry criterion (LG) assuming harmonic Debye solid is presented. The LG formulation uses the bulk modulus B and its…

Materials Science · Physics 2019-12-16 Joseph Gal

The electronic behavior of various solid metals (Al, Ni, Cu, Au, Ti, and W) under ultrashort laser irradiation is investigated by means of density functional theory. Successive stages of extreme nonequilibrium on picosecond time scale…

Materials Science · Physics 2014-04-04 Emile Bévillon , Jean-Philippe Colombier , Vanina Recoules , Razvan Stoian

The non-equilibrium dynamics of electrons is of a great experimental and theoretical value providing important microscopic parameters of the Coulomb and electron-phonon interactions in metals and other cold plasmas. Because of the…

Superconductivity · Physics 2008-11-19 V. V. Kabanov , A. S. Alexandrov

In the presence of Joule heating, the electronic temperature in a metallic resistor placed at sub-Kelvin temperatures can significantly exceed the phonon temperature. Electron cooling proceeds mainly through two processes: electronic…

Mesoscale and Nanoscale Physics · Physics 2009-08-26 B. Huard , H. Pothier , D. Esteve , K. E. Nagaev

A microscopic picture of the ``preparation'' of a crystal to the transition to liquid state at the approach to melting temperature is proposed. Basing on simple crystallogeometric considerations and the analysis of the computational results…

Materials Science · Physics 2007-05-23 M. I. Katsnelson , A. V. Trefilov

Iron represents the principal constituent of the Earth's core, but its high-pressure melting diagram remains ambiguous. Here we present a simple analytical approach to predict the melting properties of iron under deep-Earth conditions. In…

Materials Science · Physics 2020-12-21 Tran Dinh Cuong , Anh D. Phan

We demonstrate that the melting points and other thermodynamic quantities of the alkali metals can be calculated based on static crystalline properties. To do this we derive analytic interatomic potentials for the alkali metals fitted…

Materials Science · Physics 2016-06-02 Alan Nichol , Graeme J. Ackland

Melting is analyzed dynamically as a problem of localization at a liquid-solid interface. A Lindemann-like criterion of melting is derived in terms of particular vibrational amplitudes, which turn out to equal a universal quotient (about…

Materials Science · Physics 2007-05-23 Vassiliy Lubchenko

The Z method is a popular atomistic simulation method for determining the melting temperature where a sequence of molecular dynamics runs are carried out to target the lowest system energy where the solid always melts. Homogeneous melting…

Materials Science · Physics 2023-10-20 Ming Geng , Chris E. Mohn

In the framework of melting as a dislocation-mediated phase transition we derive an equation for the pressure dependence of the melting temperatures of the elements valid up to pressures of order their ambient bulk moduli. Melting curves…

Condensed Matter · Physics 2009-10-31 Leonid Burakovsky , Dean L. Preston , Richard R. Silbar

Lindemann developed the melting temperature theory over 100 years ago, known as the Lindemann criterion. Its main assumption is that melting occurs when the root-mean-square vibration amplitude of ions and atoms in crystals exceeds a…

Other Condensed Matter · Physics 2020-06-11 Melvin M. Vopson , Nassina Rogers , Ian Hepburn

We set up simple harmonic lattice models for elastic fluctuations in bcc and fcc lattices and the excitation of dislocations and disclinations. From these we derive, in a lowest approximation, universal formulas which predict melting…

Condensed Matter · Physics 2009-11-10 Hagen Kleinert , Ying Jiang

The Seebeck coefficient of a metal is expected to display a linear temperature-dependence in the zero-temperature limit. To attain this regime, it is often necessary to cool the system well below 1K. We put under scrutiny the magnitude of…

Strongly Correlated Electrons · Physics 2007-05-23 Kamran Behnia , Didier Jaccard , Jacques Flouquet

We present a theory of the melting of elemental solids as a dislocation-mediated phase transition. We model dislocations near melt as non-interacting closed strings on a lattice. In this framework we derive simple expressions for the…

Condensed Matter · Physics 2009-10-31 Leonid Burakovsky , Dean L. Preston , Richard R. Silbar

Since more than 100 years, melting is thought to be governed by the Lindemann criterion. It assumes that a crystal melts when, upon heating, the growing atomic vibration amplitudes become sufficiently large to destabilize its crystalline…

Soft Condensed Matter · Physics 2026-02-09 Peter Lunkenheimer , Konrad Samwer , Alois Loidl

A simple bulk model of electron-phonon coupling in metals has been surprisingly successful in explaining experiments on metal films that actually involve surface- or other low-dimensional phonons. However, by an exact application of this…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. -X. Qu , A. N. Cleland , M. R. Geller

We present calculations of the free energy, and hence the melting properties, of a simple tight-binding model for transition metals in the region of d-band filling near the middle of a d-series, the parameters of the model being designed to…

Materials Science · Physics 2015-05-13 C. Cazorla , D. Alfè , M. J. Gillan

Experiments and computer simulations have shown that the melt-ing temperature of solid hydrogen drops with pressure above about 65 GPa, suggesting that a liquid state might exist at low temperatures. It has also been suggested that this low…

The process of deriving an interatomic potentials represents an attempt to integrate out the electronic degrees of freedom from the full quantum description of a condensed matter system. In practice it is the derivatives of the interatomic…

Materials Science · Physics 2016-06-23 G. J. Ackland

We construct a simple thermodynamic model to describe the melting of a supported metal nanoparticle with a spherically curved free surface both with and without surface melting. We use the model to investigate the results of recent…

Materials Science · Physics 2007-05-23 S. C. Hendy
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