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Related Concept Videos

Phase Transitions: Melting and Freezing02:39

Phase Transitions: Melting and Freezing

Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
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The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
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The time response of a linear time-invariant (LTI) system can be divided into transient and steady-state responses. The transient response represents the system's initial reaction to a change in input and diminishes to zero over time. In contrast, the steady-state response is the behavior that persists after the transient effects have faded.
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Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
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The steady-state approximation, also referred to as the quasi-steady-state approximation to differentiate it from a true steady state, is a widely used method for simplifying calculations in complex reaction mechanisms. This approach is particularly useful when dealing with multi-step reactions that involve reverse reactions or several steps, which can significantly increase mathematical complexity and make the reactions nearly unsolvable analytically.The steady-state approximation operates on...
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Updated: May 27, 2026

Controlling Flow Speeds of Microtubule-Based 3D Active Fluids Using Temperature
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Controlling Flow Speeds of Microtubule-Based 3D Active Fluids Using Temperature

Published on: November 26, 2019

Frozen steady states in active systems.

Volker Schaller1, Christoph A Weber, Benjamin Hammerich

  • 1Lehrstuhl für Biophysik-E27, Technische Universität München, 84748 Garching, Germany.

Proceedings of the National Academy of Sciences of the United States of America
|November 16, 2011
PubMed
Summary

Active matter can surprisingly enter quiescent states. This study shows frozen states emerge in active systems when active transport couples with growth processes.

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Area of Science:

  • Physics
  • Biophysics
  • Soft Matter Physics

Background:

  • Active matter systems, despite energy input, can exhibit complex phenomena.
  • Quiescent or absorbing states with frozen fluctuations are paradoxical in active systems.
  • Previous studies focused on externally driven systems; inherently active systems remain under-investigated.

Purpose of the Study:

  • To investigate the emergence of frozen steady states in inherently active systems.
  • To understand the mechanisms behind pattern formation in active matter.
  • To explore the role of coupled active transport and growth.

Main Methods:

  • High-density motility assay experiments.
  • Agent-based simulations.
  • Analysis of self-organization, growth, and mechanical properties.

Main Results:

  • Demonstrated the occurrence of frozen steady states in active systems.
  • Identified the coupling between active transport and growth as crucial for frozen states.
  • Revealed that self-organization, growth, and mechanical properties drive pattern formation.

Conclusions:

  • Frozen steady states are achievable in inherently active systems.
  • The interplay between active transport and growth is key to emergent quiescence.
  • Self-organization, growth, and mechanics collectively govern pattern formation in active matter.