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Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
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Phase Transitions: Melting and Freezing02:39

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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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Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions
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Optimizing active work: Dynamical phase transitions, collective motion, and jamming.

Takahiro Nemoto1, Étienne Fodor2, Michael E Cates2

  • 1Philippe Meyer Institute for Theoretical Physics, Physics Department, École Normale Supérieure & PSL Research University, 24 rue Lhomond, 75231 Paris Cedex 05, France.

Physical Review. E
|April 3, 2019
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Summary
This summary is machine-generated.

Minimizing active work in particle systems leads to motion arrest. High active work, however, reveals collective motion and alignment, indicating dynamical phase transitions in active matter.

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Area of Science:

  • Physics of active matter
  • Statistical mechanics
  • Complex systems

Background:

  • Active work quantifies the relationship between self-propulsion and resultant motion in active particles.
  • Understanding collective behaviors and phase transitions in active systems is crucial for designing novel materials and understanding biological processes.

Purpose of the Study:

  • To investigate the large deviations in active work for repulsive active Brownian disks.
  • To identify the conditions leading to dynamical arrest versus collective motion in active particle systems.

Main Methods:

  • Population Monte Carlo simulations were employed to study the system's behavior.
  • Heuristic and analytical arguments were used to explain observed phenomena.

Main Results:

  • Minimizing active work typically results in dynamical arrest.
  • High active work trajectories correspond to a collectively moving and aligned state, even without aligning interactions.
  • Dynamical phase transitions were identified, separating arrested, typical, and aligned regimes.

Conclusions:

  • Active work serves as a key indicator of emergent collective behavior in active particle systems.
  • The study reveals a mechanism for self-organization and collective motion driven by active work, independent of explicit aligning forces.