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Related Concept Videos

Magnetic Field Due to Two Straight Wires01:18

Magnetic Field Due to Two Straight Wires

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Consider two parallel straight wires carrying a current of 10 A and 20 A in the same direction and separated by a distance of 20 cm. Calculate the magnetic field at a point "P2", midway between the wires. Also, evaluate the magnetic field when the direction of the current is reversed in the second wire.
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Phase Transitions

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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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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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Magnetic Field Due To A Thin Straight Wire01:27

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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 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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Zigzag phase transition in quantum wires.

Abhijit C Mehta1, C J Umrigar2, Julia S Meyer3

  • 1Department of Physics, Duke University, Box 90305, Durham, North Carolina 27708-0305, USA.

Physical Review Letters
|August 29, 2014
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Summary
This summary is machine-generated.

Interacting electrons in quantum wires transition from linear to zigzag phases due to increasing density. Quantum fluctuations do not disrupt this transition, differing from classical behavior.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Materials Science

Background:

  • Electrons in one-dimensional (1D) systems exhibit unique quantum phenomena.
  • Understanding quantum phase transitions is crucial for developing novel electronic materials.
  • Quantum wires confine electrons, leading to distinct collective behaviors.

Purpose of the Study:

  • Investigate the quantum phase transition of interacting electrons in quantum wires.
  • Characterize the transition from a 1D linear configuration to a quasi-1D zigzag arrangement.
  • Analyze the impact of quantum fluctuations on this phase transition.

Main Methods:

  • Utilized quantum Monte Carlo (QMC) methods for simulation.
  • Studied electron behavior across varying densities in quantum wires.
  • Analyzed the symmetry breaking and ordering in electron configurations.

Main Results:

  • Observed a phase transition from a linear Wigner crystal to a zigzag phase with increasing electron density.
  • Identified a subsequent transition to a disordered liquidlike phase at higher densities.
  • Demonstrated that quantum fluctuations in narrow wires do not destroy the linear to zigzag transition.

Conclusions:

  • The linear to zigzag quantum phase transition in quantum wires is robust against quantum fluctuations.
  • The transition exhibits characteristics distinct from classical phase transitions.
  • This research provides insights into the complex behavior of electrons in low-dimensional systems.