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

Damped Oscillations01:07

Damped Oscillations

In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Types of Damping01:20

Types of Damping

If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
Noncompartmental Analysis: Mean Transit, Absorption and Dissolution Time01:02

Noncompartmental Analysis: Mean Transit, Absorption and Dissolution Time

When drugs are administered extravascularly, a comprehensive evaluation through noncompartmental analysis becomes imperative. This analytical approach considers various parameters that play a crucial role in understanding the pharmacokinetics of these drugs.
One of the key parameters is the mean transit time (MTT), which refers to the total duration required for drug molecules to transit through the body. MTT is determined by calculating the ratio of the area under the moment curve to the area...
¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)01:20

¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)

When proton-coupled carbon-13 spectra are simplified by a broadband proton decoupling technique, structural information about the coupled protons is lost. Distortionless enhancement by polarization transfer (DEPT) is a technique that provides information on the number of hydrogens attached to each carbon in a molecule. While the DEPT experiment utilizes complex pulse sequences, the pulse delay and flip angle are specifically manipulated. The resulting signals have different phases depending on...
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models00:57

Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models

Physiological pharmacokinetic models, often called flow-limited or perfusion models, typically assume a swift drug distribution between tissue and venous blood, creating a rapid drug equilibrium. This premise is based on the idea that drug diffusion is extremely fast, and the cell membrane presents no barrier to drug permeation. In this scenario, where no drug binding occurs, the drug concentration in the tissue equals that of the venous blood leaving the tissue. This greatly simplifies the...

You might also read

Related Articles

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

Sort by
Same author

Integrative metagenomic and metabolomic profiling identifies faecal biomarkers of prolonged social stress in pigs.

Animal : an international journal of animal bioscience·2026
Same author

Intimate partner violence among HIV-positive women in Nairobi, Kenya.

International journal of women's health·2019
Same author

Al<sub>2</sub>O<sub>3</sub> microring resonators for the detection of a cancer biomarker in undiluted urine.

Optics express·2019
Same author

Boar semen proteomics and sperm preservation.

Theriogenology·2019
Same author

Roughening of the anharmonic Larkin model.

Physical review. E·2019
Same author

Combined transanal minimally invasive surgery (TAMIS) and retroperitoneal laparoscopy for resection of lymph node recurrence of ovarian cancer.

Techniques in coloproctology·2018

Related Experiment Video

Updated: May 18, 2026

Probing Structural and Dynamic Properties of Trafficking Subcellular Nanostructures by Spatiotemporal Fluctuation Spectroscopy
08:17

Probing Structural and Dynamic Properties of Trafficking Subcellular Nanostructures by Spatiotemporal Fluctuation Spectroscopy

Published on: August 16, 2021

Anisotropic anomalous diffusion modulated by log-periodic oscillations.

L Padilla1, H O Mártin, J L Iguain

  • 1Instituto de Investigaciones Físicas de Mar del Plata and Departamento de Física FCEyN, Universidad Nacional de Mar del Plata, Deán Funes 3350, AR-7600 Mar del Plata, Argentina. lorenapadilla.r@gmail.com

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

We studied anomalous diffusion on ramified self-affine substrates, revealing anisotropic behavior with log-periodic oscillations. This research provides analytical and simulation-based insights into random walk dynamics on complex fractal structures.

More Related Videos

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging
06:34

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging

Published on: September 2, 2016

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels
11:34

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Published on: September 8, 2016

Related Experiment Videos

Last Updated: May 18, 2026

Probing Structural and Dynamic Properties of Trafficking Subcellular Nanostructures by Spatiotemporal Fluctuation Spectroscopy
08:17

Probing Structural and Dynamic Properties of Trafficking Subcellular Nanostructures by Spatiotemporal Fluctuation Spectroscopy

Published on: August 16, 2021

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging
06:34

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging

Published on: September 2, 2016

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels
11:34

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Published on: September 8, 2016

Area of Science:

  • Physics
  • Complex Systems
  • Statistical Mechanics

Background:

  • Anomalous diffusion describes particle movement deviating from standard Brownian motion.
  • Fractal and self-affine substrates exhibit complex geometries influencing transport phenomena.
  • Log-periodic oscillations are observed in systems with hierarchical or fractal structures.

Purpose of the Study:

  • To investigate the diffusion dynamics of a single random walk on finite ramified self-affine substrates in two dimensions.
  • To characterize the anomalous anisotropic behavior and log-periodic oscillations in the random walk.
  • To analytically derive and numerically confirm the random-walk exponents and oscillation periods.

Main Methods:

  • Introduction of finite ramified self-affine substrates with defined hopping rates.
  • Analytical derivation of random-walk exponents and oscillation periods.
  • Monte Carlo simulations to validate analytical findings.

Main Results:

  • Demonstration of anomalous anisotropic diffusion behavior.
  • Identification of log-periodic oscillations modulating the diffusion.
  • Determination of distinct random-walk exponents ν(x) and ν(y) for x and y directions.

Conclusions:

  • The study successfully characterized anomalous anisotropic diffusion on ramified self-affine substrates.
  • Analytical and simulation results confirm the presence and nature of log-periodic oscillations.
  • The findings offer a deeper understanding of transport phenomena in complex fractal media.