Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Dynamic Equilibrium

Dynamic Equilibrium

A reversible chemical reaction represents a chemical process that proceeds in both forward (left to right) and reverse (right to left) directions. When the rates of the forward and reverse reactions are equal, the concentrations of the reactant and product species remain constant over time and the system is at equilibrium. A special double arrow is used to emphasize the reversible nature of the reaction. The relative concentrations of reactants and products in equilibrium systems vary greatly;...

Reaction Mechanisms

Reaction Mechanisms

Chemical reactions often occur in a stepwise fashion, involving two or more distinct reactions taking place in a sequence. A balanced equation indicates the reacting species and the product species, but it reveals no details about how the reaction occurs at the molecular level. The reaction mechanism (or reaction path) provides details regarding the precise, step-by-step process by which a reaction occurs.
For instance, the decomposition of ozone appears to follow a mechanism with two steps:

Rate-Determining Steps

Rate-Determining Steps

Relating Reaction Mechanisms
In a multistep reaction mechanism, one of the elementary steps progresses significantly slower than the others. This slowest step is called the rate-limiting step (or rate-determining step). A reaction cannot proceed faster than its slowest step, and hence, the rate-determining step limits the overall reaction rate.
The concept of rate-determining step can be understood from the analogy of a 4-lane freeway with a short-stretch of traffic-bottleneck caused due to...

Temperature Dependence on Reaction Rate

Temperature Dependence on Reaction Rate

The Collision Theory
Atoms, molecules, or ions must collide before they can react with each other. Atoms must be close together to form chemical bonds. This premise is the basis for a theory that explains many observations regarding chemical kinetics, including factors affecting reaction rates.
The collision theory is based on the postulates that (i) the reaction rate is proportional to the rate of reactant collisions, (ii) the reacting species collide in an orientation allowing contact between...

Multi-Step Reactions

Multi-Step Reactions

Chemical reactions often occur in a stepwise fashion involving two or more distinct reactions taking place in a sequence. A balanced equation indicates the reacting species and the product species, but it reveals no details about how the reaction occurs at the molecular level. The reaction mechanism (or reaction path) provides details regarding the precise, step-by-step process by which a reaction occurs. Each of the steps in a reaction mechanism is called an elementary reaction. These...

Second Order systems II

Second Order systems II

In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
If ζ...

You might also read

Related Articles

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

Sort by

Same author

Multi-Objective Optimization of Conceptual DFT Reactivity Descriptors in Open-Shell Radicals by Reinforcement Learning.

Journal of chemical theory and computation·2026

Same author

Uncovering Structure-Conductivity Relationships in Anion Exchange Membranes (AEMs) Using Interpretable Machine Learning.

Membranes·2026

Same author

In-silico identification of a Doxorubicin alternative with reduced cardiotoxicity informed by LLM-assisted modeling.

Journal of molecular graphics & modelling·2025

Same author

Childhood infections as predisposing factors to developing psoriasis vulgaris into early adulthood.

The British journal of dermatology·2025

Same author

Early Childhood Stress and the Risk of Developing Psoriasis: A Cohort Study.

The Journal of investigative dermatology·2025

Same author

Translational Control in Cardiac Pathophysiology and Therapeutic Development: When mRNA Meets the Heart.

International journal of molecular sciences·2025

Search research articles

Related Experiment Video

Updated: May 9, 2026

In Vitro Reconstitution of Self-Organizing Protein Patterns on Supported Lipid Bilayers

In Vitro Reconstitution of Self-Organizing Protein Patterns on Supported Lipid Bilayers

Published on: July 28, 2018

Dichotomous-noise-induced pattern formation in a reaction-diffusion system.

Debojyoti Das¹, Deb Shankar Ray

¹Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|July 16, 2013

Summary

This summary is machine-generated.

This study explores how noise affects self-organization in reaction-diffusion systems. Optimal noise strength, dependent on correlation time, drives pattern formation in chemical reactions.

More Related Videos

Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior

Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior

Published on: January 31, 2020

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

Related Experiment Videos

Last Updated: May 9, 2026

In Vitro Reconstitution of Self-Organizing Protein Patterns on Supported Lipid Bilayers

In Vitro Reconstitution of Self-Organizing Protein Patterns on Supported Lipid Bilayers

Published on: July 28, 2018

Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior

Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior

Published on: January 31, 2020

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

Area of Science:

Chemical Kinetics
Nonlinear Dynamics
Pattern Formation

Background:

Reaction-diffusion systems exhibit complex behaviors like pattern formation.
Controlling system parameters with noise can influence emergent properties.
Continuous-flow-stirred-tank reactor (CSTR) membrane reactors are suitable for studying such dynamics.

Purpose of the Study:

To investigate the role of dichotomous noise in a generic reaction-diffusion system.
To analyze how noise parameters (strength and correlation time) influence system stability and self-organization.
To theoretically and numerically explore pattern formation under controlled noise conditions.

Main Methods:

Linear stability analysis in an extended phase space.
Application of the Furutzu-Novikov procedure for exponentially correlated multiplicative noise.
Numerical simulations of a specific reaction-diffusion system (chlorine-dioxide-iodine-malonic acid).

Main Results:

Derivation of the instability condition in the plane of noise parameters.
Identification of an optimal noise strength that promotes self-organization, contingent on noise correlation time.
Validation of theoretical predictions through numerical simulations.

Conclusions:

Noise, specifically dichotomous noise, can be a crucial factor in driving self-organization in reaction-diffusion systems.
The interplay between noise strength and correlation time dictates the emergence of organized patterns.
This research provides insights into controlling complex chemical dynamics through noise modulation.