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Energy Diagrams - II

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Energy diagrams are important to understand the dynamics of a system. The topology of an energy diagram helps illustrate the equilibrium points of the system.
The point in the energy diagram at which the system’s potential energy is the lowest is known as the local minima. The system tends to stay in this position indefinitely unless acted upon by a net force. The slope of the potential energy diagram at the local minima is zero, indicating that zero net force is acting on the system. The slope...

Energy Diagrams - I

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The dynamics of a mechanical system can be easily understood by interpreting a potential energy diagram. Since energy is a scalar quantity, the interpretation of the dynamics of the system becomes even simpler.
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Related Experiment Video

Updated: Jul 11, 2026

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

Connectivity graph: multiple connectivity on potential energy surface does affect the dynamics.

T Okushima¹, T Niiyama, K S Ikeda

¹Department of Physics, Ritsumeikan University, Noji-higashi 1-1-1, Kusatsu 525-8577, Japan. okushima@ike-dyn.ritsumei.ac.jp

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

|October 13, 2007

Summary

This summary is machine-generated.

Connectivity graphs map complex networks on potential energy surfaces. These graphs reveal that crucial saddle points are essential for understanding nonequilibrium kinetic dynamics.

Related Experiment Videos

Last Updated: Jul 11, 2026

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

Area of Science:

Physical Chemistry
Computational Chemistry
Chemical Dynamics

Background:

Understanding the dynamics of complex systems requires analyzing potential energy surfaces.
Identifying pathways between stable states (local minima) is challenging in high-dimensional spaces.
Saddle points play a critical role in reaction kinetics and molecular transitions.

Purpose of the Study:

To introduce a novel mapping, the connectivity graph, for visualizing networks of local minima and saddles.
To investigate the influence of potential energy surface topography on system dynamics.
To establish the importance of saddles in nonequilibrium dynamics.

Main Methods:

Development of a connectivity graph visualization technique.
Application of the connectivity graph to model funnel potentials.
Analysis of a Lennard-Jones cluster using the proposed mapping.

Main Results:

The connectivity graph effectively visualizes complex networks on potential energy surfaces.
Energetically significant saddle points were identified as indispensable for kinetic dynamics.
The study provides strong evidence for the role of saddles in governing system evolution.

Conclusions:

Connectivity graphs offer a robust framework for analyzing and understanding nonequilibrium dynamics.
The topography of potential energy surfaces, particularly saddle points, dictates kinetic pathways.
This approach enhances the comprehension of complex molecular systems and chemical reactions.