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We explore the relationship between a machine-learned structural quantity (softness) and excess entropy in simulations of supercooled liquids. Excess entropy is known to scale well the dynamical properties of liquids, but this…

Soft Condensed Matter · Physics 2023-06-07 Ian R. Graham , Paulo E. Arratia , Robert A. Riggleman

Free energy and entropy are examined in detail from the standpoint of classical thermodynamics. The approach is logically based on the fact that thermodynamic work is mediated by thermal energy through the tendency for nonthermal energy to…

Physics Education · Physics 2015-06-26 Clinton D. Stoner

According to excess-entropy scaling, dynamic properties of liquids like viscosity and diffusion coefficient are determined by the entropy. This link between dynamics and thermodynamics is increasingly studied and of interest also for…

Soft Condensed Matter · Physics 2024-08-13 Ian M. Douglass , Jeppe C. Dyre , Lorenzo Costigliola

Fluctuating entropy production is studied for a set of linearly coupled complex fields. The general result is applied to non-equilibrium fluctuating hydrodynamic equations for coarse-grained fields (density, temperature and velocity), in…

Statistical Mechanics · Physics 2012-07-09 Giacomo Gradenigo , Andrea Puglisi , Alessandro Sarracino

Computer simulations have been employed in recent years to evaluate the configurational entropy changes in model glass-forming liquids. We consider two methods, both of which involve the calculation of the `intra-basin' entropy as a means…

Statistical Mechanics · Physics 2009-10-31 Srikanth Sastry

We analyze the nature of the structural order established in liquid TIP4P water in the framework provided by the multi-particle correlation expansion of the statistical entropy. Different regimes are mapped onto the phase diagram of the…

Materials Science · Physics 2011-10-25 Rubens Esposito , Franz Saija , A. Marco Saitta , Paolo V. Giaquinta

Following a cell-method due to van Kampen for the calculation of a coarse-grained free energy functional for the van der Waals gas, we compute a corresponding entropy functional from microscopic principles. This entropy functional is one of…

Statistical Mechanics · Physics 2016-08-16 Pep Español

The first-principles description of liquid water using ab initio molecular dynamics (AIMD) based on Density Functional theory (DFT) has recently been found to require long equilibration times, giving too low diffusivities and a clear…

Soft Condensed Matter · Physics 2007-05-23 M. V. Fernandez-Serra , G. Ferlat , Emilio Artacho

Using information entropy formalism, we consider a one-dimensional system with heat flux and extend the meaning of equilibrium variables to non equilibrium scenarios when classical local equilibrium approach is not applicable; this is…

Statistical Mechanics · Physics 2019-09-10 Sergey Sobolev

It is argued that a typical many body energy eigenstate has a well defined thermodynamic entropy and that individual eigenstates possess thermodynamic characteristics analogous to those of generic isolated systems. We examine large systems…

Statistical Mechanics · Physics 2015-05-14 J. M. Deutsch

We present an implementation in a linear-scaling density-functional theory code of an electronic enthalpy method, which has been found to be natural and efficient for the ab initio calculation of finite systems under hydrostatic pressure.…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Niccolò R. C. Corsini , Andrea Greco , Nicholas D. M. Hine , Carla Molteni , Peter D. Haynes

The relationship between excess entropy and diffusion is revisited by means of large-scale computer simulation combined to supervised learning approach to determine the excess entropy for the Lennard-Jones potential. Results reveal that it…

Statistical Mechanics · Physics 2021-11-03 Anthony Saliou , Philippe Jarry , Noel Jakse

The extension of thermodynamic principles to active matter remains a challenge due to the non-equilibrium nature inherent to active systems. In this study, we introduce a framework to assess entropy in our minimal macroscopic experiment…

Soft Condensed Matter · Physics 2024-09-26 Francesco Romanò , Michael Riedl

We review the inherent structure thermodynamical formalism and the formulation of an equation of state for liquids in equilibrium based on the (volume) derivatives of the statistical properties of the potential energy surface. We also show…

Soft Condensed Matter · Physics 2009-11-07 S. Mossa , E. La Nave , P. Tartaglia , F. Sciortino

We use ab initio molecular dynamics as a basis for quasi-chemical theory evaluation of the free energy of water near conventional liquid thermodynamic states. The PW91, PBE, and revised PBE (rPBE) functionals are employed. The oxygen radial…

Chemical Physics · Physics 2009-11-10 D. Asthagiri , Lawrence R. Pratt , J. D. Kress

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

Despite increasing demands for the thermodynamic data of liquids in a wide range of science and engineering fields, there is a still a considerable lack of reliable data over a wide range of temperature ($T$) and pressure conditions. The…

Disordered Systems and Neural Networks · Physics 2024-11-19 Koun Shirai , Hiroyoshi Momida , Kazunori Sato , Sangil Hyun

Using molecular dynamics simulations we study the temperature-density phase diagram of a simple model system of particles in two dimensions. In addition to translational degrees of freedom, each particle has two internal states and…

Soft Condensed Matter · Physics 2013-05-29 Chandana Mondal , Surajit Sengupta

The model Tip4p/{\epsilon} for water is tested for the presence of thermodynamic and dy- namic anomalies. Molecular dynamic simulations for this model were performed and we show that for this system the density versus temperature at…

Soft Condensed Matter · Physics 2015-08-12 Raul Fuentes-Azcatl , Marcia C. Barbosa

Thermodynamics is usually developed starting from entropy and the maximum entropy principle. We investigate here to what extent one can replace entropy with relative entropy which has several advantages, for example in the context of local…

Statistical Mechanics · Physics 2020-11-17 Stefan Floerchinger , Tobias Haas