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One of the simpler characteristics of sliding friction is that it is parallel to the contact surfaces between systems, and is always in a direction that opposes the motion or attempted motion of the systems relative to each other. If two systems are in contact and moving relative to one another, then the friction between them is called kinetic friction. For example, kinetic friction slows a hockey puck sliding on ice.
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Consider a truck trying to pull a stationary car. As the truck exerts a force on the car, static friction is created at the point of contact between the two surfaces. This frictional force resists the car's movement and keeps it at rest. However, when the applied force by the truck surpasses the limiting static frictional force, an interesting phenomenon occurs. The frictional force at the interface reduces to a lower value, known as the kinetic frictional force. At this point, the car...
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Updated: Sep 27, 2025

Microfluidic Preparation of Liquid Crystalline Elastomer Actuators
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Repulsive torques alone trigger crystallization of constant speed active particles.

Marine Le Blay1, Alexandre Morin1

  • 1Soft Matter Physics, Huygens-Kamerlingh Onnes Laboratory, Leiden University, P.O. Box 9504, 2300 RA Leiden, The Netherlands. leblay@physics.leidenuniv.nl.

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Self-propelled particles can crystallize without slowing down. Their movement and repulsive forces dictate the formation of phases in active matter, offering a new model for understanding this phenomenon.

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Area of Science:

  • Physics
  • Materials Science
  • Soft Matter Physics

Background:

  • Active matter systems exhibit unique collective behaviors driven by self-propulsion.
  • Crystallization in active systems is typically associated with reduced particle speed or external driving forces.

Purpose of the Study:

  • To explore the conditions under which self-propelled particles can achieve crystalline states without a decrease in their inherent speed.
  • To elucidate the fundamental mechanisms governing phase transitions in constant-speed active particle systems.

Main Methods:

  • Development of a minimal theoretical model for active particles.
  • Analysis of the interplay between self-propulsion and repulsive torques.
  • Investigation of macroscopic phase behavior in the absence of external forces.

Main Results:

  • Demonstrated that crystallization is possible for active particles maintaining constant speed.
  • Identified the critical role of the competition between self-propulsion and repulsive torques in determining macroscopic phases.
  • The proposed minimal model provides a framework for understanding active crystallization.

Conclusions:

  • Constant-speed active particles can form crystalline phases through the balance of self-propulsion and inter-particle torques.
  • This work offers a simplified yet insightful model for active matter crystallization, distinct from existing approaches.
  • The findings contribute to a deeper comprehension of phase transitions in non-equilibrium systems.