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Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
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Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
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Volumes of irregularly shaped objects can be systematically determined using the concept of solids of revolution. This approach begins with a region defined by a curve in a two-dimensional plane. When this region is rotated about a fixed line, known as the axis of revolution, it generates a three-dimensional object with rotational symmetry. Such objects frequently arise in mathematical modeling, physics, and engineering applications.When the region being rotated lies directly against the axis...
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Solid Plate-based Dietary Restriction in Caenorhabditis elegans
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Radial restricted solid-on-solid and etching interface-growth models.

Sidiney G Alves1

  • 1Departamento de Física e Matemática, Universidade Federal de São João Del-Rei 36420-000, Ouro Branco, MG, Brazil.

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Summary
This summary is machine-generated.

This study introduces a novel method for creating radial interfaces using discrete models. The findings fully support the Kardar, Parisi, and Zhang conjecture for interface growth, confirming universal behaviors.

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Area of Science:

  • Statistical Physics
  • Condensed Matter Physics
  • Surface Science

Background:

  • Investigating interface growth dynamics is crucial in understanding various physical phenomena.
  • Existing models often focus on flat substrates, limiting the study of radial or curved interfaces.
  • The Kardar, Parisi, and Zhang (KPZ) conjecture provides a framework for understanding the universality of interface growth.

Purpose of the Study:

  • To develop and present a new approach for generating and studying radial interfaces.
  • To adapt discrete models originally designed for flat surfaces to radial geometries.
  • To test the validity of the Kardar, Parisi, and Zhang conjecture in a radial system.

Main Methods:

  • Utilized a recursively generated radial network to implement discrete models.
  • Employed the restricted solid-on-solid and etching models for testing the proposed scheme.
  • Analyzed interface radius fluctuation distributions, evolution, and two-point correlation functions.

Main Results:

  • The Kardar, Parisi, and Zhang conjecture was completely verified for radial interfaces.
  • Interface radius fluctuation distributions showed excellent agreement with the Gaussian unitary ensemble.
  • The evolution of the radius and the two-point correlation function aligned well with generalized conjectures and the Airy_{2} process.

Conclusions:

  • The proposed approach successfully generates and investigates radial interfaces.
  • The study confirms the universality of interface growth described by the KPZ conjecture in radial systems.
  • This method offers a versatile tool for exploring radial interface evolution across diverse universality classes.