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

Formal Charges02:42

Formal Charges

40.0K
In some cases, there are seemingly more than one valid Lewis structures for molecules and polyatomic ions. The concept of formal charges can be used to help predict the most appropriate Lewis structure when more than one reasonable structure exists.
40.0K
Ions and Ionic Charges03:27

Ions and Ionic Charges

78.6K
In ordinary chemical reactions, the nucleus — which contains the protons and neutrons of each atom and thus identifies the element — remains unchanged. Electrons, however, can be added to atoms by transfer from other atoms, lost by transfer to other atoms, or shared with other atoms. The transfer and sharing of electrons among atoms govern the chemistry of the elements. During the formation of some compounds, atoms gain or lose electrons to form electrically charged particles called...
78.6K
Analyte Adsorption and Distribution01:09

Analyte Adsorption and Distribution

2.5K
In certain chromatographic separations, solutes transfer between the mobile phase and the stationary phase via sorption, which typically refers to the process of adsorption. For many chromatographic systems, the sorption process often depends on the polarity of the compounds—an expression of the overall dipole moment within the molecule. During the separation process, there is competition between the solute and solvent for adsorption to the stationary phase. Highly polar compounds and...
2.5K
Random Error01:04

Random Error

9.1K
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...
9.1K
Random Variables01:09

Random Variables

17.5K
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...
17.5K
Randomized Experiments01:13

Randomized Experiments

8.9K
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...
8.9K

You might also read

Related Articles

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

Sort by
Same author

Observation of replica symmetry breaking in filamentation and multifilamentation.

Nanophotonics (Berlin, Germany)·2025
Same author

Random sequential adsorption with correlated defects : A series expansion approach.

Physical review. E·2024
Same author

Random-hopping approach to fluctuation phenomena in quantum dots with chiral symmetry.

Chaos (Woodbury, N.Y.)·2023
Same author

Physical properties of a generalized model of multilayer adsorption of dimers.

Physical review. E·2023
Same author

Transport properties in multilayer adsorption of dimers.

Physical review. E·2022
Same author

Photonics bridges between turbulence and spin glass phenomena in the 2021 Nobel Prize in Physics.

Light, science & applications·2022
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 22, 2026

Experimental System of Solar Adsorption Refrigeration with Concentrated Collector
07:18

Experimental System of Solar Adsorption Refrigeration with Concentrated Collector

Published on: October 18, 2017

15.0K

Random sequential adsorption of charged segments on a line.

G Palacios1,2, A M S Macêdo2

  • 1Universidade Estadual da Paraíba, Centro de Ciências Exatas e Sociais Aplicadas, 58706-550, Patos, PB, Brazil.

Physical Review. E
|January 21, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a new random sequential adsorption (RSA) model with polarization-dependent deposition rules. It provides exact solutions for coverage and variance, revealing continuous transitions in adsorption profiles.

More Related Videos

Spore Adsorption as a Nonrecombinant Display System for Enzymes and Antigens
07:42

Spore Adsorption as a Nonrecombinant Display System for Enzymes and Antigens

Published on: March 19, 2019

7.1K
Study of Short Peptide Adsorption on Solution Dispersed Inorganic Nanoparticles Using Depletion Method
09:43

Study of Short Peptide Adsorption on Solution Dispersed Inorganic Nanoparticles Using Depletion Method

Published on: April 11, 2020

7.1K

Related Experiment Videos

Last Updated: Jan 22, 2026

Experimental System of Solar Adsorption Refrigeration with Concentrated Collector
07:18

Experimental System of Solar Adsorption Refrigeration with Concentrated Collector

Published on: October 18, 2017

15.0K
Spore Adsorption as a Nonrecombinant Display System for Enzymes and Antigens
07:42

Spore Adsorption as a Nonrecombinant Display System for Enzymes and Antigens

Published on: March 19, 2019

7.1K
Study of Short Peptide Adsorption on Solution Dispersed Inorganic Nanoparticles Using Depletion Method
09:43

Study of Short Peptide Adsorption on Solution Dispersed Inorganic Nanoparticles Using Depletion Method

Published on: April 11, 2020

7.1K

Area of Science:

  • Statistical Physics
  • Surface Science
  • Materials Chemistry

Background:

  • Random sequential adsorption (RSA) is a fundamental process for thin film formation.
  • Standard RSA models often assume uniform deposition probabilities.
  • Understanding nonuniform adsorption is crucial for advanced material design.

Purpose of the Study:

  • To develop and analyze a novel one-dimensional RSA model with polarization-dependent adsorption.
  • To derive exact analytical solutions for coverage and variance in this generalized RSA model.
  • To investigate the influence of orientation-dependent rules on adsorption profiles and transitions.

Main Methods:

  • Analytical investigation of a one-dimensional RSA model with nonuniform deposition probabilities.
  • Generalization of the standard RSA integral equation to include polarization-dependent boundary conditions.
  • Derivation and solution of functional recurrences for mean coverage and variance calculation.

Main Results:

  • Exact results for mean coverage obtained in both deterministic and stochastic regimes.
  • Identification of distinct intracase and intercase contributions to fluctuations via the law of total variance.
  • Observation of a continuous transition between steplike coverage profiles based on orientation probability.

Conclusions:

  • The developed model offers a tractable framework for studying interaction-driven nonuniform adsorption.
  • The findings provide insights into how orientation-dependent rules influence adsorption kinetics and final configurations.
  • This work advances the theoretical understanding of complex adsorption phenomena in materials science.