Discontinuous Structural Transitions in Fluids with Competing Interactions

This paper explores how competing interactions in the intermolecular potential of fluids affect their structural transitions. This study employs a versatile potential model with a hard core followed by two constant steps, representing wells or shoulders, analyzed in both one-dimensional (1D) and thr...

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Main Authors: Ana M. Montero, Santos B. Yuste, Andrés Santos, Mariano López de Haro
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/27/1/95
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author Ana M. Montero
Santos B. Yuste
Andrés Santos
Mariano López de Haro
author_facet Ana M. Montero
Santos B. Yuste
Andrés Santos
Mariano López de Haro
author_sort Ana M. Montero
collection DOAJ
description This paper explores how competing interactions in the intermolecular potential of fluids affect their structural transitions. This study employs a versatile potential model with a hard core followed by two constant steps, representing wells or shoulders, analyzed in both one-dimensional (1D) and three-dimensional (3D) systems. Comparing these dimensionalities highlights the effect of confinement on structural transitions. Exact results are derived for 1D systems, while the rational function approximation is used for unconfined 3D fluids. Both scenarios confirm that when the steps are repulsive, the wavelength of the oscillatory decay of the total correlation function evolves with temperature either continuously or discontinuously. In the latter case, a discontinuous oscillation crossover line emerges in the temperature–density plane. For an attractive first step and a repulsive second step, a Fisher–Widom line appears. Although the 1D and 3D results share common features, dimensionality introduces differences: these behaviors occur in distinct temperature ranges, require deeper wells, or become attenuated in 3D. Certain features observed in 1D may vanish in 3D. We conclude that fluids with competing interactions exhibit a rich and intricate pattern of structural transitions, demonstrating the significant influence of dimensionality and interaction features.
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spelling doaj-art-0dac2c5f9885424bae918c11000d863d2025-01-24T13:31:59ZengMDPI AGEntropy1099-43002025-01-012719510.3390/e27010095Discontinuous Structural Transitions in Fluids with Competing InteractionsAna M. Montero0Santos B. Yuste1Andrés Santos2Mariano López de Haro3Departamento de Física, Universidad de Extremadura, E-06006 Badajoz, SpainDepartamento de Física, Universidad de Extremadura, E-06006 Badajoz, SpainDepartamento de Física, Universidad de Extremadura, E-06006 Badajoz, SpainInstituto de Energías Renovables, Universidad Nacional Autónoma de México (UNAM), Temixco 62580, MexicoThis paper explores how competing interactions in the intermolecular potential of fluids affect their structural transitions. This study employs a versatile potential model with a hard core followed by two constant steps, representing wells or shoulders, analyzed in both one-dimensional (1D) and three-dimensional (3D) systems. Comparing these dimensionalities highlights the effect of confinement on structural transitions. Exact results are derived for 1D systems, while the rational function approximation is used for unconfined 3D fluids. Both scenarios confirm that when the steps are repulsive, the wavelength of the oscillatory decay of the total correlation function evolves with temperature either continuously or discontinuously. In the latter case, a discontinuous oscillation crossover line emerges in the temperature–density plane. For an attractive first step and a repulsive second step, a Fisher–Widom line appears. Although the 1D and 3D results share common features, dimensionality introduces differences: these behaviors occur in distinct temperature ranges, require deeper wells, or become attenuated in 3D. Certain features observed in 1D may vanish in 3D. We conclude that fluids with competing interactions exhibit a rich and intricate pattern of structural transitions, demonstrating the significant influence of dimensionality and interaction features.https://www.mdpi.com/1099-4300/27/1/95competing interactionssquare wellsquare shoulderdiscontinuous structural crossover transitionsFisher–Widom linerational function approximation
spellingShingle Ana M. Montero
Santos B. Yuste
Andrés Santos
Mariano López de Haro
Discontinuous Structural Transitions in Fluids with Competing Interactions
Entropy
competing interactions
square well
square shoulder
discontinuous structural crossover transitions
Fisher–Widom line
rational function approximation
title Discontinuous Structural Transitions in Fluids with Competing Interactions
title_full Discontinuous Structural Transitions in Fluids with Competing Interactions
title_fullStr Discontinuous Structural Transitions in Fluids with Competing Interactions
title_full_unstemmed Discontinuous Structural Transitions in Fluids with Competing Interactions
title_short Discontinuous Structural Transitions in Fluids with Competing Interactions
title_sort discontinuous structural transitions in fluids with competing interactions
topic competing interactions
square well
square shoulder
discontinuous structural crossover transitions
Fisher–Widom line
rational function approximation
url https://www.mdpi.com/1099-4300/27/1/95
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AT santosbyuste discontinuousstructuraltransitionsinfluidswithcompetinginteractions
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AT marianolopezdeharo discontinuousstructuraltransitionsinfluidswithcompetinginteractions