Spatial dimension of atoms arrangement as a function of temperature: A fractons' functional

J. C. Flores

doi:10.1016/j.physleta.2023.128816

Spatial dimension of atoms arrangement as a function of temperature: A fractons' functional

J. C. Flores

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

The mechanisms related to the structure of compounds as a function of temperature are partially elucidated. Experiments in the area are explicitly declared and compared to this proposal. The parameters of structural equilibrium determine the response of the arrangements and define their fractional dimension. When the temperature decreases there are three cases depending on the parameters: (a) the arrangement of atoms, in dimension three, passes continuously to layers simulating dimension two, (b) the arrangement takes up its original dimension (three) but gets new symmetries and (c) the critical case with linear variations of the fractional dimension with temperature. Thermodynamically, the specific heat of the arrangements as a function of temperature is envisaged and, in some regions of parameters, an exergonic behavior is inferred.

Original language	English
Article number	128816
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	473
DOIs	https://doi.org/10.1016/j.physleta.2023.128816
State	Published - 15 Jun 2023

Keywords

Experiments and theory
Fractal arrangements
Low dimension
Materials basic structures
Negative specific heat

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10.1016/j.physleta.2023.128816

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title = "Spatial dimension of atoms arrangement as a function of temperature: A fractons' functional",

abstract = "The mechanisms related to the structure of compounds as a function of temperature are partially elucidated. Experiments in the area are explicitly declared and compared to this proposal. The parameters of structural equilibrium determine the response of the arrangements and define their fractional dimension. When the temperature decreases there are three cases depending on the parameters: (a) the arrangement of atoms, in dimension three, passes continuously to layers simulating dimension two, (b) the arrangement takes up its original dimension (three) but gets new symmetries and (c) the critical case with linear variations of the fractional dimension with temperature. Thermodynamically, the specific heat of the arrangements as a function of temperature is envisaged and, in some regions of parameters, an exergonic behavior is inferred.",

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N2 - The mechanisms related to the structure of compounds as a function of temperature are partially elucidated. Experiments in the area are explicitly declared and compared to this proposal. The parameters of structural equilibrium determine the response of the arrangements and define their fractional dimension. When the temperature decreases there are three cases depending on the parameters: (a) the arrangement of atoms, in dimension three, passes continuously to layers simulating dimension two, (b) the arrangement takes up its original dimension (three) but gets new symmetries and (c) the critical case with linear variations of the fractional dimension with temperature. Thermodynamically, the specific heat of the arrangements as a function of temperature is envisaged and, in some regions of parameters, an exergonic behavior is inferred.

AB - The mechanisms related to the structure of compounds as a function of temperature are partially elucidated. Experiments in the area are explicitly declared and compared to this proposal. The parameters of structural equilibrium determine the response of the arrangements and define their fractional dimension. When the temperature decreases there are three cases depending on the parameters: (a) the arrangement of atoms, in dimension three, passes continuously to layers simulating dimension two, (b) the arrangement takes up its original dimension (three) but gets new symmetries and (c) the critical case with linear variations of the fractional dimension with temperature. Thermodynamically, the specific heat of the arrangements as a function of temperature is envisaged and, in some regions of parameters, an exergonic behavior is inferred.

KW - Experiments and theory

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KW - Low dimension

KW - Materials basic structures

KW - Negative specific heat

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SN - 0375-9601

VL - 473

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

M1 - 128816

ER -

Spatial dimension of atoms arrangement as a function of temperature: A fractons' functional

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Keywords

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