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An approximation within Wertheim's second order perturbation theory is proposed which allows for the development of a general solution for pure component fluids with an arbitrary number and functionality of association sites. The solution…

Soft Condensed Matter · Physics 2021-10-12 B. D. Marshall

Four scenarios have been proposed for the low--temperature phase behavior of liquid water, each predicting different thermodynamics. The physical mechanism which leads to each is debated. Moreover, it is still unclear which of the scenarios…

Soft Condensed Matter · Physics 2009-08-27 Kevin Stokely , Marco G. Mazza , H. Eugene Stanley , Giancarlo Franzese

In this paper we develop a thermodynamic perturbation theory for two site associating fluids which exhibit bond cooperativity. We include both steric hindrance and ring formation such that the equation of state is bond angle dependent. Here…

Soft Condensed Matter · Physics 2015-06-19 B. D. Marshall , Amin Haghmoradi , W. G. Chapman

In this work we develop a new classical perturbation theory for water which incorporates the transition to tetrahedral symmetry in both the dispersion and hydrogen bonding contributions to the free energy. This transition is calculated…

Soft Condensed Matter · Physics 2019-03-25 Bennett D. Marshall

We develop a resummed thermodynamic perturbation theory for bond cooperativity in associating fluids by extension of Wertheim's multi - density formalism. We specifically consider the case of an associating hard sphere with two association…

Soft Condensed Matter · Physics 2013-12-19 B. D. Marshall , W. G. Chapman

Thermodynamic properties of the particles interacting through smooth version of Stell-Hemmer interaction were studied using Wertheim's thermodynamic perturbation theory. The temperature dependence of molar volume, heat capacity, isothermal…

Soft Condensed Matter · Physics 2013-12-18 T. Urbic

In this paper a new theory is developed for the self - assembly of associating molecules confined to a single spatial dimension, but allowed to explore all orientation angles. The interplay of the anisotropy of the pair potential and the…

Soft Condensed Matter · Physics 2016-04-27 Bennett D. Marshall

Equations of state for hydrogen bonding fluids are typically described by two energy scales. A short range highly directional hydrogen bond energy scale, as well as a reference energy scale which accounts for dispersion and orientationally…

Soft Condensed Matter · Physics 2016-12-28 Bennett D. Marshall

A theoretical model for the effect of water hydrogen bonding on the thermodynamics of hydrophobic hydration is proposed as a combination of the classical density functional theory with the recently developed probabilistic approach to water…

Statistical Mechanics · Physics 2011-06-16 Yuri S. Djikaev

Liquid water is reluctant to lose hydrogen-bond coordination. Here we reveal that it also demands contraction and reorientation of the second molecular shell to compensate for coordination defects. Such molecular principle will be shown to…

Soft Condensed Matter · Physics 2024-08-27 Nicolás A. Loubet , Alejandro R. Verde , Gustavo A. Appignanesi

Water is an unusual liquid. Its thermophysical properties are non-monotonic with temperature T and pressure p. It's not been known how water's behaviors are encoded in its molecules. We give a statistical physics model, Cage Water, which…

Statistical Mechanics · Physics 2026-05-28 Lakshmanji Verma , Ken A. Dill

In this paper we obtain the first general multi-component solution to thermodynamic perturbation theory for the case that molecules can participate in cyclic double bonds. In contrast to previous authors, we do not restrict double bonding…

Soft Condensed Matter · Physics 2018-05-16 Bennett D. Marshall

Compressing or cooling a fluid typically enhances its static interparticle correlations. However, there are notable exceptions. Isothermal compression can reduce the translational order of fluids that exhibit anomalous waterlike trends in…

Soft Condensed Matter · Physics 2008-04-11 William P. Krekelberg , Jeetain Mittal , Venkat Ganesan , Thomas M. Truskett

We present a probabilistic approach to water-water hydrogen bonding that allows one to obtain an analytic expression for the number of bonds per water molecule as a function of both its distance to a hydrophobic particle and hydrophobe…

Soft Condensed Matter · Physics 2013-03-20 Yuri S. Djikaev , Eli Ruckenstein

An alternative way of utilizing the thermodynamic perturbation theory of Wertheim for the development of equations of state for associating fluid models is presented and detailed for water. The approach makes use of general features of the…

Soft Condensed Matter · Physics 2021-10-12 I. Nezbeda

Density Functional Theory calculations are used to investigate the role of substrate-induced cooperative effects on the adsorption of water on a partially oxidized transition metal surface, O(2x2)/Ru(0001). Focussing particularly on the…

Materials Science · Physics 2015-05-19 Pepa Cabrera-Sanfelix , M. V. Fernández-Serra , A. Arnau , D. Sánchez-Portal

We assess the predictive accuracy of perturbation theory based estimates of changes in covalent bonding due to linear alchemical interpolations among molecules. We have investigated $\sigma$ bonding to hydrogen, as well as $\sigma$ and…

The prototypical Hydrogen bond in water dimer and Hydrogen bonds in the protonated water dimer, in other small molecules, in water cyclic clusters, and in ice, covering a wide range of bond strengths, are theoretically investigated by…

Chemical Physics · Physics 2017-08-02 Pier Luigi Silvestrelli

A gaussian distribution of binding energies, but conditioned to exploit generally available information on packing in liquids, provides a statistical-thermodynamic theory of liquid water that is structurally non-committal, molecularly…

Biological Physics · Physics 2007-05-23 J. K. Shah , D. Asthagiri , L. R. Pratt , M. E. Paulaitis

The theoretical description of the thermodynamics of water is challenged by the structural transition towards tetrahedral symmetry at ambient conditions. As perturbation theories typically assume a spherically symmetric reference fluid,…

Soft Condensed Matter · Physics 2017-11-15 Bennett D. Marshall
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