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

Gaussian Elimination: Problem Solving01:30

Gaussian Elimination: Problem Solving

195
Systems of linear equations in several variables are pivotal in modeling complex scenarios involving multiple unknowns and constraints. Such systems are widely used in various fields to represent relationships where several conditions must be simultaneously satisfied. Each variable in the system corresponds to an unknown quantity, while each equation imposes a linear constraint, leading to a structured approach for analyzing and solving real-world problems.A system of three equations with three...
195
Random Error01:04

Random Error

9.8K
Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...
9.8K
Random Variables01:09

Random Variables

17.9K
A random variable is a single numerical value that indicates the outcome of a procedure. The concept of random variables is fundamental to the probability theory and was introduced by a Russian mathematician, Pafnuty Chebyshev, in the mid-nineteenth century.
Uppercase letters such as X or Y denote a random variable. Lowercase letters like x or y denote the value of a random variable. If X is a random variable, then X is written in words, and x is given as a number.
For example, let X = the...
17.9K
Randomized Experiments01:13

Randomized Experiments

9.1K
The randomization process involves assigning study participants randomly to experimental or control groups based on their probability of being equally assigned. Randomization is meant to eliminate selection bias and balance known and unknown confounding factors so that the control group is similar to the treatment group as much as possible. A computer program and a random number generator can be used to assign participants to groups in a way that minimizes bias.
Simple randomization
Simple...
9.1K
Random and Systematic Errors01:20

Random and Systematic Errors

15.1K
Scientists always try their best to record measurements with the utmost accuracy and precision. However, sometimes errors do occur. These errors can be random or systematic. Random errors are observed due to the inconsistency or fluctuation in the measurement process, or variations in the quantity itself that is being measured. Such errors fluctuate from being greater than or less than the true value in repeated measurements. Consider a scientist measuring the length of an earthworm using a...
15.1K
Random Sampling Method01:09

Random Sampling Method

14.7K
Sampling is a technique to select a portion (or subset) of the larger population and study that portion (the sample) to gain information about the population. Data are the result of sampling from a population. The sampling method ensures that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest. Among the various sampling methods used by...
14.7K

You might also read

Related Articles

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

Sort by
Same author

Memory can induce oscillations of microparticles in nonlinear viscoelastic media and cause a giant enhancement of driven diffusion.

Proceedings of the National Academy of Sciences of the United States of America·2022
Same author

Fingerprints of viscoelastic subdiffusion in random environments: Revisiting some experimental data and their interpretations.

Physical review. E·2021
Same author

Nonequilibrium Phase Transition to Anomalous Diffusion and Transport in a Basic Model of Nonlinear Brownian Motion.

Physical review letters·2021
Same author

Hydrodynamic memory can boost enormously driven nonlinear diffusion and transport.

Physical review. E·2020
Same author

Goychuk Replies.

Physical review letters·2019
Same author

Fractional Hydrodynamic Memory and Superdiffusion in Tilted Washboard Potentials.

Physical review letters·2019
Same journal

Phase-transition-driven radiative-decay engineering for high-<i>Q</i> quasi-BIC states in graphene-VO<sub>2</sub> metasurfaces.

Physical chemistry chemical physics : PCCP·2026
Same journal

From frameworks to functionality: a review of MOF-derived materials in emerging supercapacitor technologies.

Physical chemistry chemical physics : PCCP·2026
Same journal

Zn doping effects on oxygen reduction kinetics of PrBa<sub>0.5</sub>Ca<sub>0.5</sub>Fe<sub>2</sub>O<sub>5+<i>δ</i></sub> double perovskite cathode for intermediate-temperature solid oxide fuel cells.

Physical chemistry chemical physics : PCCP·2026
Same journal

Mechanisms of the CO<sub>2</sub> and H<sub>2</sub>O co-adsorption behavior of functionalized porous carbons: perspectives of the molecular clustering effect.

Physical chemistry chemical physics : PCCP·2026
Same journal

A charge-redistribution threshold governing methane dehydrogenation revealed by cerium oxide and nitride clusters.

Physical chemistry chemical physics : PCCP·2026
Same journal

Engineering Fe<sub>2</sub>WO<sub>6</sub>-based heterostructures for high-performance supercapacitors: the role of V<sub>2</sub>O<sub>5</sub> and g-C<sub>3</sub>N<sub>4</sub> integration.

Physical chemistry chemical physics : PCCP·2026
See all related articles

Related Experiment Video

Updated: Feb 5, 2026

Rapid Viscoelastic Characterization of Airway Mucus Using a Benchtop Rheometer
08:47

Rapid Viscoelastic Characterization of Airway Mucus Using a Benchtop Rheometer

Published on: April 21, 2022

3.9K

Viscoelastic subdiffusion in a random Gaussian environment.

Igor Goychuk1

  • 1Institute for Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str. 24/25, 14476 Potsdam-Golm, Germany. igoychuk@uni-potsdam.de.

Physical Chemistry Chemical Physics : PCCP
|September 13, 2018
PubMed
Summary
This summary is machine-generated.

Viscoelastic subdiffusion in disordered environments shows complex behavior. Even moderate disorder causes trajectory scatter, while strong disorder leads to transient Sinai diffusion, impacting interpretations of cellular transport.

More Related Videos

In situ Photo-rheology Monitors Viscoelastic Changes in Photo-responsive Polymer Networks
07:14

In situ Photo-rheology Monitors Viscoelastic Changes in Photo-responsive Polymer Networks

Published on: June 20, 2025

926
In Vivo Evaluation of the Mechanical and Viscoelastic Properties of the Rat Tongue
06:59

In Vivo Evaluation of the Mechanical and Viscoelastic Properties of the Rat Tongue

Published on: July 6, 2017

9.3K

Related Experiment Videos

Last Updated: Feb 5, 2026

Rapid Viscoelastic Characterization of Airway Mucus Using a Benchtop Rheometer
08:47

Rapid Viscoelastic Characterization of Airway Mucus Using a Benchtop Rheometer

Published on: April 21, 2022

3.9K
In situ Photo-rheology Monitors Viscoelastic Changes in Photo-responsive Polymer Networks
07:14

In situ Photo-rheology Monitors Viscoelastic Changes in Photo-responsive Polymer Networks

Published on: June 20, 2025

926
In Vivo Evaluation of the Mechanical and Viscoelastic Properties of the Rat Tongue
06:59

In Vivo Evaluation of the Mechanical and Viscoelastic Properties of the Rat Tongue

Published on: July 6, 2017

9.3K

Area of Science:

  • Physics
  • Biophysics
  • Statistical Mechanics

Background:

  • Anomalous diffusion is crucial for understanding cellular processes.
  • Cytoplasm exhibits viscoelasticity and inherent spatial disorder.
  • Fractional Langevin equation models viscoelastic subdiffusion.

Purpose of the Study:

  • Investigate viscoelastic subdiffusion in a 1D disordered Gaussian environment.
  • Analyze the impact of short-range vs. slow-decaying correlations.
  • Examine effects of moderate and strong disorder intensities.

Main Methods:

  • Numerical simulations of fractional Langevin equation.
  • Modeling stationary Gaussian potentials with decaying correlations.
  • Analysis of ensemble-averaged and single-trajectory behaviors.

Main Results:

  • Moderate disorder allows viscoelastic subdiffusion to overcome medium disorder asymptotically.
  • Strong scatter in single-trajectory averages indicates weak ergodicity breaking.
  • Strong disorder reveals a transient regime of Sinai-type diffusion.

Conclusions:

  • Viscoelastic subdiffusion dynamics are significantly influenced by disorder type and strength.
  • Weak ergodicity breaking and transient Sinai diffusion necessitate re-evaluation of experimental data.
  • Findings offer insights into anomalous transport in biological systems.