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Entropy alone can self-assemble hard particles into colloidal crystals of remarkable complexity whose structures are the same as atomic and molecular crystals, but with larger lattice spacings. Although particle-based molecular simulation…

Soft Condensed Matter · Physics 2021-07-06 Thi Vo , Sharon C. Glotzer

A generic method to estimate the relative feasibility of formation of high entropy compounds in a single phase, directly from first principles, is developed. As a first step, the relative formation abilities of 56 multi-component, AO,…

Owing to additive manufacturing techniques, a structure at millimeter length scale (macroscale) can be produced by using a lattice substructure at micrometer length scale (microscale). Such a system is called a metamaterial at the…

Computational Engineering, Finance, and Science · Computer Science 2019-11-25 H. Yang , B. E. Abali , W. H. Müller , D. Timofeev

A key property of glass forming alloys, the anomalously small volume difference with respect to the crystal, is shown to arise as a direct consequence of the soft repulsive potentials between metals. This feature of the inter-atomic…

Soft Condensed Matter · Physics 2016-05-04 Ian Douglass , Toby Hudson , Peter Harrowell

The presence of defects in solids formed by active particles breaks their discrete translational symmetry. As a consequence, many of their properties become space-dependent and different from those characterizing perfectly ordered…

Statistical Mechanics · Physics 2023-11-08 Lorenzo Caprini , Hartmut Löwen , Umberto Marini Bettolo Marconi

Self-interstitials play a central role in governing the mechanical and anti-irradiation properties of refractory high-entropy alloys (RHEAs), however, the prediction of interstitial formation energies (Ef) is formidable due to the…

Materials Science · Physics 2026-01-21 Zichen Zhang , Zhiling Luo , Wang Gao , Qing Jiang

We use holographic duality to study the entanglement entropy (EE) of Conformal Field Theories (CFTs) in various spacetime dimensions $d$, in the presence of various deformations: a relevant Lorentz scalar operator with constant source, a…

High Energy Physics - Theory · Physics 2017-11-22 Nikola I. Gushterov , Andy O'Bannon , Ronnie Rodgers

The theory of entropy production in nonequilibrium, Hamiltonian systems, previously described for steady states using partitions of phase space, is here extended to time dependent systems relaxing to equilibrium. We illustrate the main…

Chaotic Dynamics · Physics 2009-10-31 T. Gilbert , J. R. Dorfman , P. Gaspard

This work is an enquiry into the circumstances under which entropy methods can give an answer to the questions of both quantum separability and classical correlations of a composite state. Several entropy functionals are employed to examine…

Quantum Physics · Physics 2009-11-07 A. K. Rajagopal , R. W. Rendell

High Entropy Alloys (HEAs) are designed by mixing multiple metallic species in nearly the same amount to obtain crystalline or amorphous materials with exceptional mechanical properties. Here we use molecular dynamics simulations to…

Disordered Systems and Neural Networks · Physics 2023-03-17 Silvia Bonfanti , Roberto Guerra , Rene Alvarez-Donado , Pawel Sobkowicz , Stefano Zapperi , Mikko Alava

Fluctuations in parameters that are typically treated as fixed play a crucial role in the behavior of complex systems. However, to date, we lack a general non-equilibrium thermodynamic treatment of such a complex system. In this Letter, to…

Statistical Mechanics · Physics 2026-03-31 Tuan Pham , Deepak Gupta

We describe implementation and analysis of a first-principles theory, derived in an earlier work, for the leading terms in an expansion of a Gibbs free energy of a multi-component alloy in terms of order parameters that characterize…

Materials Science · Physics 2025-02-24 Christopher D. Woodgate , Julie B. Staunton

Elastic interactions arising from a difference of lattice spacing between two coherent phases can have a strong influence on the phase separation (coarsening) of alloys. If the elastic moduli are different in the two phases, the elastic…

Mathematical Physics · Physics 2015-06-26 P. Fratzl , O. Penrose , J. L. Lebowitz

We introduce an exactly solvable lattice model that reveals a universal finite-size scaling law for configurational entropy driven purely by geometry. Using exact enumeration via Burnside's lemma, we compute the entropy for diverse 1D, 2D,…

Statistical Mechanics · Physics 2025-07-29 Youshen Wu , Xin Guan , Shengli Zhang , Lei Zhang

Multi-principal element alloys (MPEAs) continue to garner interest as structural and plasma-facing materials due to their structure stability and increased resistance to radiation damage. Despite sensitivity of mechanical behavior to…

Materials Science · Physics 2022-04-29 Ankit Roy , Prashant Singh , Ganesh Balasubramanian , Duane D. Johnson

We discuss the need for discretization to evaluate the configurational entropy in a general model. We also discuss the prescription using restricted partition function formalism to study the stationary limit of metastable states. We…

Statistical Mechanics · Physics 2009-11-10 F. Semerianov , P. D. Gujrati

Open lattices are characterized by low volume-fraction arrangements of building blocks, low coordination number, and open spaces between building blocks. The self-assembly of these lattices faces the challenge of mechanical instability due…

Soft Condensed Matter · Physics 2013-06-25 Xiaoming Mao

Recent studies indicate that the configurational entropy is an useful tool to investigate the stability and (or) the relative dominance of states for diverse physical systems. Recent examples comprise the connection between the variation of…

High Energy Physics - Theory · Physics 2017-02-22 Nelson R. F. Braga , Roldao da Rocha

A thermodynamic measure of the fragility of liquids has recently (Ito et al ref.1) been defined in terms of the temperature dependence of the excess entropy of liquid over crystal, scaled by the excess entropy at the glass transition…

Disordered Systems and Neural Networks · Physics 2007-05-23 L. -M. Martinez , C. A. Angell

We report a comparative high-pressure study of two fluorite-type rare-earth oxides with increasing configurational entropy, (CePr)O$_{2-{\delta}}$ and (CePrLa)O$_{2-{\delta}}$. Synchrotron-based powder X-ray diffraction and Raman…