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

Size-Exclusion Chromatography01:08

Size-Exclusion Chromatography

In size-exclusion chromatography (SEC), also known as molecular-exclusion or gel-permeation chromatography, molecules are separated based on their sizes. This technique is important for separating large molecules such as polymers and biomolecules. The two classes of micron-sized stationary phases encountered in SEC are silica particles and cross-linked polymer resin beads. Both materials are porous, but their pore sizes vary significantly.
Silica particles offer advantages such as rigidity,...
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model01:13

Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model

Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

Mechanistic Models: Compartment Models in Individual and Population Analysis

Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least squares (OLS)...
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
Types of Coprecipitation01:10

Types of Coprecipitation

Coprecipitation is the contamination of a precipitate by otherwise soluble species and occurs via different processes. In colloidal precipitates, coprecipitation occurs via surface adsorption. For instance, barium sulfate has a primary layer of adsorbed barium ions and a secondary layer of nitrate counterions. This results in contamination of the precipitate by barium nitrate.
Sometimes, ions in a crystal lattice can undergo isomorphous replacement by inclusions of similar charge and size. For...

You might also read

Related Articles

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

Sort by
Same author

Annealing approximation in master-node network model.

Physical review. E·2026
Same author

A comprehensive qualitative analysis of patient dialogue summarization using large language models applied to noisy, informal, non-English real-world data.

Scientific reports·2025
Same author

Critical exponents of master-node network model.

Physical review. E·2023
Same author

Exactly solvable interacting spin-ice vertex model.

Physical review. E, Statistical, nonlinear, and soft matter physics·2006
Same author

Anomalous tag diffusion in the asymmetric exclusion model with particles of arbitrary sizes.

Physical review. E, Statistical, nonlinear, and soft matter physics·2002
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

Related Experiment Video

Updated: Jun 8, 2026

Online Size-exclusion and Ion-exchange Chromatography on a SAXS Beamline
11:09

Online Size-exclusion and Ion-exchange Chromatography on a SAXS Beamline

Published on: January 5, 2017

Asymmetric exclusion model with impurities.

Matheus J Lazo1, Anderson A Ferreira

  • 1Instituto de Matemática, Estatística e Física-FURG, Rio Grande, RS, Brazil. matheuslazo@furg.br

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2010
PubMed
Summary
This summary is machine-generated.

We formulated an integrable asymmetric exclusion process with impurities, revealing a new scaling exponent of 5/3. This differs from the standard model

Related Experiment Videos

Last Updated: Jun 8, 2026

Online Size-exclusion and Ion-exchange Chromatography on a SAXS Beamline
11:09

Online Size-exclusion and Ion-exchange Chromatography on a SAXS Beamline

Published on: January 5, 2017

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Integrable Systems

Background:

  • The standard asymmetric exclusion process (ASEP) is a fundamental model in statistical mechanics.
  • The ASEP without impurities belongs to the Kardar-Parisi-Zhang (KPZ) universality class with a scaling exponent of 3/2.
  • Understanding the effect of impurities on such systems is crucial for comprehending complex phenomena.

Purpose of the Study:

  • To formulate an integrable asymmetric exclusion process model that includes impurities.
  • To analyze the spectral properties and scaling behavior of this new model.
  • To compare its characteristics with the standard ASEP.

Main Methods:

  • Formulation of an integrable asymmetric exclusion process with impurities.
  • Derivation of the Bethe equations for the model.
  • Calculation of the spectral gap for totally asymmetric diffusion at half filling.

Main Results:

  • The model exhibits the full spectrum of the stochastic asymmetric XXZ chain, along with novel energy levels.
  • The spectral gap was calculated for the totally asymmetric diffusion at half filling.
  • A distinct scaling exponent of 5/3 was identified for this model with impurities.

Conclusions:

  • The inclusion of impurities fundamentally alters the universality class of the asymmetric exclusion process.
  • The new model provides insights into integrable systems with defects.
  • The identified scaling exponent of 5/3 offers a new perspective on diffusion dynamics in disordered systems.