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We investigate a one-dimensional water-like lattice model with Van der Waals and hydrogen-bond interactions, allowing for particle number fluctuations through a chemical potential. The model, defined on a chain with periodic boundary…

Statistical Mechanics · Physics 2025-11-25 F. F. Braz , S. M. de Souza , M. L. Lyra , Onofre Rojas

The thermodynamic and kinetics of the one dimensional lattice gas with repulsive interaction is investigated using transfer matrix technique and Monte Carlo simulations. This simple model is shown to exhibit waterlike anomalies in density,…

Using Monte Carlo simulations a lattice gas model with only repulsive interactions was checked for the presence of anomalies. We show that this system exhibits the density (temperature of maximum density - TMD) and diffusion anomalies as…

Statistical Mechanics · Physics 2016-11-25 Andressa A. Bertolazzo , Marcia C. Barbosa

We investigate a one-dimensional model that shows several properties of water. The model combines the long-range attraction of the van der Waals model with the nearest-neighbor interaction potential by Ben-Naim, which is a step potential…

Statistical Mechanics · Physics 2012-09-28 Lotta Heckmann , Barbara Drossel

In this paper we investigate the dynamic properties of the minimal Bell-Lavis (BL) water model and their relation to the thermodynamic anomalies. The Bell-Lavis model is defined on a triangular lattice in which water molecules are…

Statistical Mechanics · Physics 2015-05-19 Marcia M. Szortyka , Carlos E. Fiore , Vera B. Henriques , Marcia C. Barbosa

We investigate a lattice-fluid model of water, defined on a three-dimensional body centered cubic lattice. Model molecules possess a tetrahedral symmetry, with four equivalent bonding arms, aiming to mimic the formation of hydrogen bonds.…

Soft Condensed Matter · Physics 2009-11-10 M. Pretti , C. Buzano

In this contribution we review a series of simple one dimensional lattice models that with an appropriate choice of parameters can account for various anomalous features of the behaviour of complex systems such as water. In particular, we…

Statistical Mechanics · Physics 2015-03-13 Enrique Lomba

According to the dynamic van der Waals theory, we propose a thermodynamically consistent model for non-isothermal compressible two-phase flows with contact line motion. In this model, fluid temperature is treated as a primary variable,…

Fluid Dynamics · Physics 2025-08-11 Junkai Wang , Qiaolin He

We investigate a lattice-fluid model of water, defined on a 3-dimensional body-centered cubic lattice. Model molecules possess a tetrahedral symmetry, with four equivalent bonding arms. The model is similar to the one proposed by Roberts…

Soft Condensed Matter · Physics 2016-08-31 M. Pretti , C. Buzano

We analyze the possible phase diagrams of a simple model for an associating liquid proposed previously. Our two-dimensional lattice model combines oreintati onal ice-like interactions and \"{}Van der Waals\"{} interactions which may be…

Soft Condensed Matter · Physics 2009-11-11 Vera B. Henriques , Nara Guisoni , Marco Aurelio Barbosa , Marcelo Thielo , Marcia C. Barbosa

We study a very simple model of a short-range attraction and an outer shell repulsion as a test system for demixing phase transition and density anomaly. The phase-diagram is obtained by applying mean field analysis and Monte Carlo…

Statistical Mechanics · Physics 2016-08-31 Alan B. de Oliveira , Marcia C. Barbosa

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

We investigate the relation between thermodynamic and dynamic properties of an associating lattice gas (ALG) model. The ALG combines a three dimensional lattice gas with particles interacting through a soft core potential and orientational…

Soft Condensed Matter · Physics 2009-11-13 Mauricio Girardi , Marcia Szortyka , Marcia C. Barbosa

Tetrahedral liquids such as water and silica-melt show unusual thermodynamic behavior such as a density maximum and an increase in specific-heat when cooled to low temperatures. There is a debate in the literature whether these phenomena…

Statistical Mechanics · Physics 2011-08-10 Itamar Procaccia , Ido Regev

We investigate the relation between thermodynamic and dynamic properties of an associating lattice gas (ALG) model. The ALG combines a two dimensional lattice gas with particles interacting through a soft core potential and orientational…

Statistical Mechanics · Physics 2009-11-11 Marcia M. Szortyka , Marcia C. Barbosa

Using molecular dynamic simulations we study a waterlike model confined between two fixed hydrophobic plates. The system is tested for density, diffusion and structural anomalous behavior and compared with the bulk results. Within the range…

Chemical Physics · Physics 2013-03-06 Leandro Batirolla Krott , Marcia Cristina Bernardes Barbosa

Through Monte Carlo simulations and the Associating Lattice Gas Model, the phases of a two-dimensional fluid under hydrophilic confinement are evaluated. The model, in its unconfined version, reproduces the anomalous behavior of water…

The thermodynamic, dynamic and structural behavior of a water-like system confined in a matrix is analyzed for increasing confining geometries. The liquid is modeled by a two dimensional associating lattice gas model that exhibits density…

Statistical Mechanics · Physics 2015-04-20 A. P. Furlan , Carlos E. Fiore , M. C. Barbosa

We investigate the phase diagram of a three-dimensional associating gas $(ALG)$ model. This model combines orientational ice-like interactions and ``van der Waals'' that might be repulsive, representing, in this case, a penalty for…

Soft Condensed Matter · Physics 2015-06-25 Mauricio Girardi , Aline L. Balladares , Vera B. Henriques , Marcia C. Barbosa

Numerical heat and mass transfer analysis of a configuration where a cool liquid hydrocarbon is suddenly introduced to a hotter gas at supercritical pressure shows that a well-defined phase equilibrium can be established before substantial…

Fluid Dynamics · Physics 2022-04-25 Jordi Poblador-Ibanez , William A. Sirignano
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