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Phase Transitions02:31

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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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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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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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Phase Changes

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Phase transitions play an important theoretical and practical role in the study of heat flow. In melting or fusion, a solid turns into a liquid; the opposite process is freezing. In evaporation, a liquid turns into a gas; the opposite process is condensation.
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Consider the two thermodynamic processes involving an ideal gas that are represented by paths AC and ABC in Figure 1:
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Thermodynamics of a Two-Step Electroweak Phase Transition.

Lauri Niemi1, Michael J Ramsey-Musolf2,3,4, Tuomas V I Tenkanen5

  • 1Department of Physics and Helsinki Institute of Physics, P.O. Box 64, FI-00014 University of Helsinki, Finland.

Physical Review Letters
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Summary
This summary is machine-generated.

New physics beyond the standard model may cause a two-step electroweak phase transition. Nonperturbative lattice simulations reveal the first transition can be first order, differing from perturbative calculations.

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Area of Science:

  • Particle physics
  • Cosmology
  • Quantum field theory

Background:

  • The standard model of particle physics describes fundamental particles and forces.
  • Electroweak symmetry breaking (EWSB) is a crucial event in the early Universe.
  • The thermal history of EWSB may involve new physics beyond the standard model.

Purpose of the Study:

  • Investigate the thermodynamics of electroweak symmetry breaking with a real triplet extension.
  • Explore the possibility of a two-step electroweak phase transition.
  • Compare nonperturbative lattice simulation results with perturbative calculations.

Main Methods:

  • Utilize nonperturbative lattice simulations to study the thermodynamics.
  • Analyze a real triplet extension of the standard model.
  • Perform a comparison with two-loop perturbative calculations.

Main Results:

  • A two-step electroweak phase transition occurs in a narrow parameter space region.
  • The second transition is always first order.
  • The first transition is first order in a significant portion of the parameter space.
  • Significant discrepancies exist between nonperturbative and perturbative results.

Conclusions:

  • The real triplet extension allows for a two-step electroweak phase transition.
  • Nonperturbative methods are crucial for accurately describing the phase transitions.
  • Perturbative calculations show significant deviations from nonperturbative findings.