# Dynamic Equilibrium Example

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration shows a system with two states is in dynamic equilibrium when the average rate of change (here called the "flux") of the population from state A to state B is equal to that from state B to state A. For example, in a reversible chemical reaction, state A might represent the reactants and state B the products.

[more]
Contributed by: William Stewart (February 2013)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The Demonstration can be regarded as representing either a unimolecular process (e.g. a conformational change in a protein switch) or a schematic of a more general chemical reaction, in which case one can regard the red state as the reactants and the blue state as the products. Because the Demonstration is intended for instructional purposes, the positions of the entities have been fixed to make it easy to detect their change of state.

Snapshot 1: You can select either 50 or 500 total particles using the reset buttons. Use 50 to study the effects of transition probability on individual particles and use 500 for smoother graphs.

Snapshot 2: Set the "probability blue to red" to zero in order to simulate the simple case of exponential decay, half life, and so on.

Snapshot 3: After equilibrium is established, you can increase the ratio of red to blue and note the temporary increase in forward flux, until equilibrium is reestablished. This demonstrates Le Chatelier's principle.

## Permanent Citation

"Dynamic Equilibrium Example"

http://demonstrations.wolfram.com/DynamicEquilibriumExample/

Wolfram Demonstrations Project

Published: February 12 2013