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Related Concept Videos

Phase Transitions02:31

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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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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Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy
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Phase transitions in systems possessing shock solutions.

Maryam Arabsalmani1, Amir Aghamohammadi

  • 1Department of Physics, Alzahra University, Tehran 19938-91167, Iran. m_arabsalmani@alzahra.ac.ir

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 16, 2006
PubMed
Summary

This study explores stationary states and dynamics of single-shocks in one-dimensional nonequilibrium lattice models. Findings reveal static and dynamic phase transitions, with thin double-shocks dominating at stationary states.

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Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Physics
  • Lattice Models

Background:

  • Single-shock measures form invariant subspaces in certain 1D nonequilibrium lattice models.
  • Understanding stationary states and dynamics is crucial for these systems.

Purpose of the Study:

  • Investigate stationary states and dynamics of single-shocks on 1D lattices.
  • Analyze behavior on both infinite and finite lattices with boundaries.
  • Examine the role and contribution of double-shocks.

Main Methods:

  • Analysis of stochastic one-dimensional nonequilibrium lattice models.
  • Study of single-shock measures as invariant subspaces.
  • Investigation of static and dynamic phase transitions.
  • Examination of double-shocks at stationary states.

Main Results:

  • Identified static and dynamic phase transitions in the studied models.
  • Confirmed the low-high density phase transition in asymmetric simple exclusion process, branching-coalescing random walk, and asymmetric Kawasaki-Glauber process.
  • Determined that thin double-shocks are the primary contributors at stationary states.

Conclusions:

  • The investigated lattice models exhibit phase transitions.
  • Double-shock contributions diminish with increasing width, with thin shocks being dominant in stationary states.