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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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Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...
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The internal energy of a substance—the total kinetic energy of all its molecules and the potential energy of their associated forces—depends on the strength of the intermolecular forces in the condensed phases and the pressure exerted on the substance. The internal energy of a substance is the highest in the gaseous state, the lowest in the solid state, and intermediate in the liquid state. Phase transitions are caused by changes in physical conditions, such as temperature and...
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At the transition from prophase to metaphase, there is a reduction in cohesion along the chromosomal arms, resulting in the resolution of sister chromatids. However, residual cohesin connections remain to hold the sister chromatids together until the transition from metaphase to anaphase. The residual connection prevents any premature separation of sister chromatids, blocking the risks of aneuploidy within the daughter cells.
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The phase of a given substance depends on the pressure and temperature. Thus, plots of pressure versus temperature showing the phase in each region provide considerable insights into the thermal properties of substances. Such plots are known as phase diagrams. For instance, in the phase diagram for water (Figure 1), the solid curve boundaries between the phases indicate phase transitions (i.e., temperatures and pressures at which the phases coexist).
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Supercluster states and phase transitions in aggregation-fragmentation processes.

Wendy Otieno1, Nikolai V Brilliantov2,3, P L Krapivsky4,5

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This study explores aggregate formation dynamics, revealing peculiar supercluster states (SCSs) driven by fluctuations. Researchers developed advanced methods to quantify these states and observed distinct phase transitions.

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Area of Science:

  • Physics
  • Chemical Physics
  • Materials Science

Background:

  • Aggregate formation is crucial in various physical and chemical processes.
  • Understanding the dynamics of aggregation, including attachment and break-up, is essential.
  • Supercluster states (SCSs) represent unique non-equilibrium jammed states observed in some aggregation models.

Purpose of the Study:

  • To investigate the evolution of aggregates through monomer collisions.
  • To analyze the conditions leading to jammed or steady states.
  • To characterize the formation and properties of supercluster states (SCSs) beyond conventional analytical tools.

Main Methods:

  • Modeling aggregate evolution via monomer attachment and aggregate break-up rates.
  • Employing theoretical analysis that extends beyond the van Kampen expansion to study fluctuations.
  • Determining critical exponents that quantify the properties of SCSs.
  • Comparing theoretical predictions with numerical simulation results.

Main Results:

  • Identified distinct states: jammed and steady states, influenced by addition and break-up rates.
  • Demonstrated that fluctuations are fundamental to the formation of SCSs.
  • Quantified SCSs using critical exponents, going beyond traditional methods.
  • Observed both continuous and discontinuous phase transitions between different system states.

Conclusions:

  • The study provides a deeper theoretical understanding of aggregate evolution and non-equilibrium states.
  • Advanced analytical techniques were successfully applied to characterize complex phenomena like SCSs.
  • Theoretical predictions align well with numerical findings, validating the model and methods.
  • The research contributes to the understanding of phase transitions in complex systems.