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The configurational entropy of ice is calculated by thermodynamic integration from high to low temperatures. We use Monte Carlo simulations with a simple energy model which reproduces the Bernal-Fowler ice rules. This procedure is found to…

Chemical Physics · Physics 2015-06-16 Carlos P. Herrero , Rafael Ramirez

A novel kind of crystal order in high-density nanoconfined bilayer ice is proposed from molecular dynamics and density-functional theory simulations. A first-order transition is observed between a low-temperature proton-ordered solid and a…

Soft Condensed Matter · Physics 2016-02-29 Fabiano Corsetti , Jon Zubeltzu , Emilio Artacho

We calculate the configurational entropy of colloidal particles in a confined geometry interacting as hard disks using Monte Carlo integration method. In particular, we consider systems with three kinds of boundary conditions: hard,…

Soft Condensed Matter · Physics 2023-01-23 Duanduan Wan

We propose a computational method to measure the configurational entropy in generic polydisperse glass-formers. In particular, our method resolves issues related to the diverging mixing entropy term due to a continuous polydispersity. The…

Statistical Mechanics · Physics 2018-11-09 Misaki Ozawa , Giorgio Parisi , Ludovic Berthier

We compute the low-temperature configurational entropy of a two-dimensional supercooled liquid. Our method, based on a higher-dimensional version of the Grassberger--Procaccia algorithm, can be implemented in a manner that is entirely…

Statistical Mechanics · Physics 2026-05-29 Nina Javerzat , Gerhard Jung , Jorge Kurchan , Misaki Ozawa

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

The configurational entropy is an indispensable tool to describe super-cooled liquids near the glass transition. Its calculation requires the enumeration of the basins in the potential energy landscape and when available, it reveals a…

Soft Condensed Matter · Physics 2023-08-16 Sachin C N , Ashwin Joy

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

We introduce a computational method to discover polymorphs in molecular crystals at finite temperature. The method is based on reproducing the crystallization process starting from the liquid and letting the system discover the relevant…

Chemical Physics · Physics 2020-04-10 Pablo M. Piaggi , Michele Parrinello

The structure of very high-density amorphous (VHDA) ice has been modelled by positionally disordering three crystalline phases, namely ice IV, VI and XII. These phases were chosen because only they are stable or metastable in the region of…

Materials Science · Physics 2009-11-10 J. K. Christie , M. Guthrie , C. A. Tulk , C. J. Benmore , D. D. Klug , S. N. Taraskin , S. R. Elliott

Using a one-parameter case as an example, we demonstrate that multicanonical simulations allow for accurate estimates of the residual combinatorial entropy of partially ordered ice. For the considered case corrections to an (approximate)…

Statistical Mechanics · Physics 2009-11-13 Bernd A. Berg , Wei Yang

High-entropy oxides (HEOs) offer a unique platform for exploring the thermodynamic interaction between configurational entropy and enthalpy in stabilizing complex solid solutions. In this study, a series of rock-salt structured oxides with…

Materials Science · Physics 2025-10-13 Ashutosh Kumar , Adrien Moll , Jitendra Kumar , Diana Dragoe , David Bérardan , Nita Dragoe

Entropy is a fundamental thermodynamic quantity that is a measure of the accessible microstates available to a system, with the stability of a system determined by the magnitude of the total entropy of the system. This is valid across truly…

In a quasi-one-dimensional system the particles remain ordered from left to right allowing the association of a volume element to the particle which on average resides there. Thus the properties of that single particle can give the local…

Statistical Mechanics · Physics 2014-09-12 Gary Morriss

We construct a configurational entropy measure in functional space. We apply it to several nonlinear scalar field models featuring solutions with spatially-localized energy, including solitons and bounces in one spatial dimension, and…

High Energy Physics - Theory · Physics 2012-06-22 Marcelo Gleiser , Nikitas Stamatopoulos

Proton ordering in water ice is a paradigmatic order-disorder transition in a locally constrained system. The ice rules require exactly two hydrogens close to each oxygen, restricting the disorder to an exponentially large yet strongly…

Materials Science · Physics 2026-03-11 Qi Zhang , Sicong Wan , Lei Wang

A comprehensive literature review on recently rediscovered Co- and/or CoNi-based superalloys, strengthened by the {\gamma}' phase, revealed a relationship between the configurational entropy of the system and the {\gamma}' solvus…

We consider the relative configurational entropy per cell S_Delta as a measure of the degree of spatial disorder for systems of finite-sized objects. It is highly sensitive to deviations from the most spatially ordered reference…

Statistical Mechanics · Physics 2009-10-31 Ryszard Piasecki

We present a theoretical study of classical Wigner crystals in two- and three-dimensional isotropic parabolic traps aiming at understanding and quantifying the configurational uncertainty due to the presence of multiple stable…

Plasma Physics · Physics 2012-04-27 Arūnas Radzvilavičius , Egidijus Anisimovas

We calculate the configurational entropy S_conf for the SPC/E model of water for state points covering a large region of the (T,rho) plane. We find that (i) the (T,rho) dependence of S_conf correlates with the diffusion constant and (ii)…

Soft Condensed Matter · Physics 2012-03-08 Antonio Scala , Francis W. Starr , Emilia La Nave , Francesco Sciortino , H. Eugene Stanley
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