Related Experiment Video
Updated: Jun 23, 2026
10:52
Simulation of Human-induced Vibrations Based on the Characterized In-field Pedestrian Behavior
Published on: April 13, 2016
Transitions in a self-propelled-particles model with coupling of accelerations
Péter Szabó1, Máté Nagy, Tamás Vicsek
1Department of Biological Physics, Eötvös University, Pázmány P. sétány. 1A, H-1117 Budapest, Hungary. pszabo@angel.elte.hu
Summary
This study generalizes the self-propelled-particles (SPP) model by including particle acceleration. A critical transition point reveals optimal information exchange for collective motion.
Area of Science:
- Physics
- Complex Systems
- Statistical Mechanics
Background:
- Collective motion is observed in various biological and physical systems.
- The original self-propelled-particles (SPP) model describes emergent order from local interactions.
- Extending SPP models can reveal new collective behaviors and phase transitions.
Purpose of the Study:
- To investigate a generalized three-dimensional self-propelled-particles (SPP) model.
- To explore how incorporating particle acceleration influences collective motion dynamics.
- To identify phase transitions and optimal behavioral strategies within the generalized model.
Main Methods:
- Developed a generalized three-dimensional SPP model.
- Introduced a weight parameter 's' to balance velocity and acceleration influences.
- Analyzed system dynamics and phase transitions by varying 's'.
Main Results:
- A kinetic phase transition was observed as the weight parameter 's' changed.
- Disordered motion occurs below a critical 's' value; ordered motion emerges above it.
- The critical 's' value corresponds to maximal information exchange, suggesting an evolutionary optimum.
Conclusions:
- Incorporating acceleration into the SPP model leads to rich collective dynamics.
- The system exhibits a transition from disordered to ordered motion based on behavioral strategy.
- Maximal information exchange at the critical point highlights its significance for system organization.
Related Concept Videos
01:10Relative Motion Analysis - Acceleration
A slider-crank mechanism converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider. The movement of the slider-crank is an example of general plane motion as the fluctuating angle between the crank and the connecting rod. Consider a segment AB where point A is at the end of the slider and point B is on the diametrically opposite end to point A, on a crack. The variance in...
01:21Principle of Linear Impulse and Momentum for a System of Particles
In the context of a system of particles moving relative to an inertial frame of reference, the equation of motion is a crucial tool for understanding the dynamics of the system. This equation, which accounts for external forces acting on each particle, plays a fundamental role in describing the system's behavior.
Notably, internal forces between particles, occurring in equal and opposite collinear pairs, cancel out and are not part of the equation of motion. This exclusion simplifies the...
Notably, internal forces between particles, occurring in equal and opposite collinear pairs, cancel out and are not part of the equation of motion. This exclusion simplifies the...
01:14Equation of Motion: Center of Mass
The equation of motion for a single particle can be expanded to encompass a system of particles consisting of n particles. For any arbitrarily chosen particle within this system, the net force acting upon it is the aggregate of both internal and external forces. Extending this principle to all particles within the system results in the equation of motion for the entire assembly.
Internal forces between any pair of particles manifest as collinear pairs of equal magnitude but opposite directions,...
Internal forces between any pair of particles manifest as collinear pairs of equal magnitude but opposite directions,...
01:20Principle of Linear Impulse and Momentum for a Single Particle
Linear momentum is a fundamental concept in physics that describes the motion of an object. It is a vector quantity, having a magnitude equal to the product of its mass and its velocity, and direction along the object's velocity. On the other hand, linear impulse, also known as momentum impulse, is a concept in physics related to the change in the linear momentum of an object. Impulse is a vector quantity defined as the product of force and the time over which the force is applied.
Delving into...
Delving into...
01:21Equations of Motion: Rectangular Coordinates and Cylindrical Coordinates
Understanding the motion of particles is a fundamental aspect of classical mechanics, and the choice of the coordinate system plays a pivotal role in unraveling the complexities of their dynamics.
When a particle moves relative to an inertial frame, the equations of motion can be expressed using rectangular components. If the motion is confined to the x-y plane, the equations having the x and y coordinates only can be used to simplify the mathematical representation.
However, when particles...
When a particle moves relative to an inertial frame, the equations of motion can be expressed using rectangular components. If the motion is confined to the x-y plane, the equations having the x and y coordinates only can be used to simplify the mathematical representation.
However, when particles...
01:26Kinematic Equations - I
When an object moves with constant acceleration, the velocity of the object changes at a constant rate throughout the motion. The kinematic equations of motions are derived for such cases where the acceleration of the object is constant. The first kinematic equation gives an insight into the relationship between velocity, acceleration, and time. We can see, for example: