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

Routh-Hurwitz Criterion I01:15

Routh-Hurwitz Criterion I

487
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
487
Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

859
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
859
Law of Independent Assortment02:03

Law of Independent Assortment

62.1K
While Mendel’s Law of Segregation states that the two alleles for one gene are separated into different gametes, a different question of how different genes are inherited remains. For example, is the gene for tall plants inherited with the gene for green peas? Mendel asked this question by experimenting with a dihybrid cross; a cross in which both parents are homozygous for two distinct traits resulting in an F1 generation that are heterozygous for both traits.
62.1K
Second Uniqueness Theorem01:16

Second Uniqueness Theorem

2.6K
Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the surface...
2.6K
Norton's Theorem01:14

Norton's Theorem

1.3K
Norton's theorem is a fundamental principle stating that a linear two-terminal circuit can be substituted with an equivalent circuit, which comprises a current source (ⅠN) in parallel with a resistor (RN). Here, ⅠN represents the short-circuit current flowing through the terminals, and RN stands for the input or equivalent resistance at the terminals when all independent sources are deactivated. This implies that the circuit illustrated in Figure (a) can be exchanged with the one depicted...
1.3K
Bewley Lattice Diagram01:12

Bewley Lattice Diagram

1.4K
The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
1.4K

You might also read

Related Articles

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

Sort by
Same author

Quantifying Transmembrane Water Exchange by Diffusion NMR Methods: From Yeast Cells to Optic Nerve Ex Vivo.

NMR in biomedicine·2026
Same author

Adaptive resetting for informed search strategies and the design of non-equilibrium steady-states.

Nature communications·2025
Same author

High-order Michaelis-Menten equations allow inference of hidden kinetic parameters in enzyme catalysis.

Nature communications·2025
Same author

Accelerating Molecular Dynamics through Informed Resetting.

Journal of chemical theory and computation·2025
Same author

Inference of non-exponential kinetics through stochastic resetting.

The Journal of chemical physics·2024
Same author

Continuous gated first-passage processes.

Reports on progress in physics. Physical Society (Great Britain)·2024

Related Experiment Video

Updated: Jan 3, 2026

Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling
06:04

Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling

Published on: January 17, 2025

1.2K

Occupancy correlations in the asymmetric simple inclusion process.

Ofek Lauber Bonomo1, Shlomi Reuveni1

  • 1School of Chemistry, The Center for Physics and Chemistry of Living Systems, The Raymond and Beverly Sackler Center for Computational Molecular and Materials Science, and The Mark Ratner Institute for Single Molecule Chemistry, Tel Aviv University, Tel Aviv 6997801, Israel.

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

This study analyzes occupancy correlations in the asymmetric simple inclusion process (ASIP), a model for unidirectional transport. Researchers derived an exact formula for the covariance matrix, offering new insights into ASIP system dynamics.

More Related Videos

The HoneyComb Paradigm for Research on Collective Human Behavior
06:48

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

9.7K
Confocal Microscopy Reveals Cell Surface Receptor Aggregation Through Image Correlation Spectroscopy
06:51

Confocal Microscopy Reveals Cell Surface Receptor Aggregation Through Image Correlation Spectroscopy

Published on: August 2, 2018

7.5K

Related Experiment Videos

Last Updated: Jan 3, 2026

Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling
06:04

Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling

Published on: January 17, 2025

1.2K
The HoneyComb Paradigm for Research on Collective Human Behavior
06:48

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

9.7K
Confocal Microscopy Reveals Cell Surface Receptor Aggregation Through Image Correlation Spectroscopy
06:51

Confocal Microscopy Reveals Cell Surface Receptor Aggregation Through Image Correlation Spectroscopy

Published on: August 2, 2018

7.5K

Area of Science:

  • Statistical Mechanics
  • Complex Systems Modeling
  • Transport Phenomena

Background:

  • The asymmetric simple inclusion process (ASIP) is a lattice-gas model for unidirectional transport and aggregation.
  • Existing analytical tractability of ASIP is limited, particularly regarding joint occupancy distributions.

Purpose of the Study:

  • To investigate and analytically derive occupancy correlations within the ASIP.
  • To bridge the gap in understanding the joint occupancy distribution of the ASIP.

Main Methods:

  • Analytical derivation of an exact formula for the covariance matrix of the steady-state occupancy vector.
  • Numerical verification using Monte Carlo simulations in small ASIP systems.

Main Results:

  • An exact formula for the covariance matrix of the steady-state occupancy vector in ASIP was derived.
  • Numerical simulations validated the derived formula for small systems.
  • The study provides a comprehensive understanding of spatial occupancy correlations in ASIP.

Conclusions:

  • The derived formula enhances the analytical tractability of ASIP.
  • This work offers significant insights into the spatial correlations within ASIP systems of any size.