Related Experiment Video
Updated: Aug 19, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Kinetic theory of random graphs: from paths to cycles
1Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Abstract:
The structural properties of evolving random graphs are investigated. Treating linking as a dynamic aggregation process, rate equations for the distribution of node to node distances (paths) and of cycles are formulated and solved analytically. At the gelation point, the typical length of paths and cycles, l , scales with the component size k as l approximately k(1/2) . Dynamic and finite-size scaling laws for the behavior at and near the gelation point are obtained. Finite-size scaling laws are verified using numerical simulations.
Related Concept Videos
The Kinetic Model of Gases
The Entropy as a State Function
Kinetic Theory of an Ideal Gas
The number of molecules in one mole is called Avogadro's number...
Entropy Change in Reversible Processes
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
Transition State Theory
Basic Postulates of Kinetic Molecular Theory: Particle Size, Energy, and Collision
