Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Relating Angular And Linear Quantities - II01:05

Relating Angular And Linear Quantities - II

6.3K
In the case of circular motion, the linear tangential speed of a particle at a radius from the axis of rotation is related to the angular velocity by the relation:
6.3K
Relating Angular And Linear Quantities - I01:09

Relating Angular And Linear Quantities - I

7.8K
If the rotational definitions are compared with the definitions of linear kinematic variables from motion along a straight line and motion in two and three dimensions, we can observe a mapping of the linear variables to the rotational ones.
When comparing the linear and rotational variables individually, the linear variable of position has physical units of meters, whereas the angular position variable has dimensionless units of radians, as it is the ratio of two lengths. The linear velocity...
7.8K
Transformation of Plane Strain01:12

Transformation of Plane Strain

455
When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
Under plane strain conditions, typical for members where one dimension significantly exceeds the others, deformations and resultant strains are...
455
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

498
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
498
Geometry of Hyperbolas01:30

Geometry of Hyperbolas

261
A hyperbola consists of all points where the absolute difference of distances to two fixed points, called foci, remains constant. The standard equation isEach branch extends infinitely and approaches two asymptotes, which guide the curve’s behavior. The parameters a and b define key features: a measures the distance from the center to each vertex along the transverse axis, while b influences the slopes of the asymptotes. The asymptotes have equationsA rectangle centered at the origin with...
261
Bending of Curved Members - Strain Analysis01:14

Bending of Curved Members - Strain Analysis

456
The mechanics of deformation in curved members, such as beams or arches, under bending moments, involve complex responses. When such a member, symmetric about the y-axis and shaped like a segment of a circle centered at point C, is subjected to equal and opposite forces, its curvature and surface lengths change significantly. This alteration results in the shift of the curvature's center from C to C', indicating a tighter curve.
The important part of bending analysis for such a member...
456

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Phase diagram and critical properties of a two-dimensional associating lattice gas.

Physical review. E·2022
Same author

Circular Kardar-Parisi-Zhang interfaces evolving out of the plane.

Physical review. E·2019
Same author

Kardar-Parisi-Zhang growth on one-dimensional decreasing substrates.

Physical review. E·2018
Same author

Universality and dependence on initial conditions in the class of the nonlinear molecular beam epitaxy equation.

Physical review. E·2016
Same author

Width and extremal height distributions of fluctuating interfaces with window boundary conditions.

Physical review. E·2016
Same author

Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and its upper critical dimension.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Jan 3, 2026

Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon
06:57

Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon

Published on: July 17, 2020

2.6K

Geometry dependence in linear interface growth.

I S S Carrasco1,2, T J Oliveira1

  • 1Departamento de Física, Universidade Federal de Viçosa, 36570-900, Viçosa, Minas Gerais, Brazil.

Physical Review. E
|November 28, 2019
PubMed
Summary
This summary is machine-generated.

Geometry influences interface growth statistics, splitting linear universality classes. Height distributions remain Gaussian but geometry-dependent, with variances differing between flat and radial cases.

More Related Videos

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.5K
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

22.4K

Related Experiment Videos

Last Updated: Jan 3, 2026

Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon
06:57

Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon

Published on: July 17, 2020

2.6K
Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.5K
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

22.4K

Area of Science:

  • Physics
  • Statistical Mechanics
  • Materials Science

Background:

  • Interface growth models are crucial for understanding surface evolution.
  • Geometry's impact on nonlinear universality classes is known, leading to subclasses.
  • Linear universality classes, like Edwards-Wilkinson and Mullins-Herring, also warrant investigation regarding geometric effects.

Purpose of the Study:

  • To investigate the effect of geometry on linear universality classes (Edwards-Wilkinson and Mullins-Herring).
  • To compare analytical results with numerical simulations for discrete models and growth equations.
  • To determine if geometric dependence observed in nonlinear classes extends to linear ones.

Main Methods:

  • Analytical calculations for Edwards-Wilkinson and Mullins-Herring models.
  • Extensive numerical simulations of discrete models in 1D and 2D.
  • Numerical integration of growth equations on flat and radially expanding geometries.

Main Results:

  • Height distributions (HDs) are universally Gaussian but geometry-dependent.
  • Probability density functions P(χ) derived from the KPZ ansatz have null mean and cumulants, except for variances.
  • Variances of HDs differ significantly between flat and radial geometries.
  • Covariance curves exhibit universal but geometry-dependent shapes.

Conclusions:

  • The splitting of universality classes due to geometry is a general phenomenon, not limited to nonlinear models.
  • Linear interface growth models exhibit geometry-dependent statistical properties.
  • Findings confirm the universality but geometric dependence of height distributions and covariances.