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Related Concept Videos

Phase Transitions01:21

Phase Transitions

A phase transition is the process in which a substance changes from one state of matter to another, like from a solid to a liquid, liquid to gas, or vice versa, at a specific temperature and under given pressure conditions. This change is spontaneous and is affected by alterations in temperature and pressure. These parameters impact the strength of the forces between molecules (intermolecular forces) in the substance.During a phase transition, both the initial and final phases of the substance...
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Phase Transitions

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 occupy...
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Creep in concrete, the gradual deformation under prolonged stress, significantly impacts the integrity of structures. For reinforced concrete beams, it can be a vital design consideration, as it increases deflection, sometimes necessitating additional design measures. In columns, especially slender ones under eccentric loads, creep can cause buckling, compromising their stability. However, creep can be beneficial in indeterminate structures by mitigating stresses that arise from shrinkage,...
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Extreme synchronization transitions.

Seungjae Lee1, Lennart J Kuklinski2, Marc Timme3,4,5,6

  • 1Chair for Network Dynamics, Institute of Theoretical Physics and Center for Advancing Electronics Dresden (cfaed), Technische Universität Dresden, 01062, Dresden, Germany. seungjae.lee@tu-dresden.de.

Nature Communications
|May 15, 2025
PubMed
Summary
This summary is machine-generated.

Researchers discovered extreme synchronization transitions in coupled oscillators, shifting from disorder to near-perfect order. This finite-system bifurcation differs from traditional phase transitions, with order parameters jumping dramatically near critical coupling.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Statistical Physics

Background:

  • Transition points are critical for understanding system behavior, often indicating sudden changes in order.
  • Coupled oscillator systems exhibit diverse synchronization phenomena, crucial in various natural and engineered applications.
  • Recent experimental findings motivated the investigation into novel transition types in these systems.

Purpose of the Study:

  • To uncover and characterize a new class of transitions in coupled oscillators: extreme synchronization transitions.
  • To differentiate these transitions from conventional discontinuous or explosive phase transitions.
  • To analytically explain the underlying mechanisms of these extreme transitions.

Main Methods:

  • Analysis of coupled complexified Kuramoto oscillators.
  • Mathematical derivation and explanation of transition mechanisms.
  • Comparison with existing models of phase transitions and bifurcations.

Main Results:

  • Identified extreme synchronization transitions from asynchronous to highly synchronous states.
  • Demonstrated that these transitions occur in finite systems (N units), acting as bifurcations rather than thermodynamic phase transitions.
  • Observed a sharp jump in the synchronization order parameter from ~N⁻¹/² to near 1 at critical coupling strength.

Conclusions:

  • Extreme synchronization transitions represent a distinct phenomenon in coupled oscillator systems.
  • These transitions are characterized by abrupt, large-scale ordering in finite systems.
  • Understanding these transitions is vital for controlling or preventing strong ordering in applications like biological and engineered systems.