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Related Concept Videos

Competition02:34

Competition

When organisms require the same limited resources within an environment, they may have to compete for them. Competition is a net-negative interaction. Even if two competing individuals or populations do not interact directly, the overall fitness of both competitors is lowered as a result of not having full access to the limited resource.Intraspecific competition, which occurs between individuals of the same species, serves as a natural mechanism for regulating population size. Too much...
Lagrange Multipliers: Two Constraints01:28

Lagrange Multipliers: Two Constraints

The method of Lagrange multipliers with two constraints is used to optimize a function subject to two independent constraints. In many applications, the objective function represents a quantity to be maximized or minimized, such as cost, area, distance, or energy. The two constraints represent requirements that the solution must satisfy, such as fixed volume, limited resources, or prescribed dimensions.For a function of three variables, each constraint forms a surface in three-dimensional space.
Load-frequency control01:28

Load-frequency control

Load-frequency control (LFC) is vital for maintaining power system stability, ensuring that frequency and power flows remain within acceptable limits during load changes. Turbine-governor control eliminates rotor accelerations and decelerations following load changes. However, a steady-state frequency error persists when the change in the turbine-governor reference setting is zero. In an interconnected power system, each area agrees to export or import a scheduled amount of power through...
Lagrange Multipliers: One Constraint01:29

Lagrange Multipliers: One Constraint

In constrained optimization, the objective is to maximize or minimize a quantity while satisfying a fixed condition. A standard example is a rectangular pen built against a barn wall using 100 meters of fencing. Because the wall provides one side of the enclosure, only the other three sides require fencing. The problem is to find the dimensions that produce the greatest possible area.Let L represent the length parallel to the wall and W the width perpendicular to it. The area of the pen is A =...
Design Example: Maintaining Level of an Embankment01:19

Design Example: Maintaining Level of an Embankment

Constructing a roadway embankment over uneven terrain requires precise leveling to ensure stability and proper drainage. Surveyors use a leveling instrument and staff to calculate ground elevations and determine the required fill material at each point along the embankment alignment.The process begins by positioning a leveling instrument near a benchmark with a known elevation. A backsight reading establishes the instrument height, which serves as a reference for subsequent measurements. A...
Placing Concrete01:17

Placing Concrete

The concrete is placed as close as possible to its final position to avoid segregation. The placed concrete is then fully compacted to expel the entrapped air, and the next layer of concrete is laid while the underlying layer is still in the plastic state. The rate at which concrete is placed and compacted is kept equal.
While placing concrete, care is taken to ensure that the concrete is laid in uniform layers, and hand shoveling and moving concrete using poker vibrators is avoided. Also,...

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Related Experiment Videos

Competing orders in FeAs layers.

J Lorenzana1, G Seibold, C Ortix

  • 1SMC-INFM-CNR and Dipartimento di Fisica, Università di Roma "La Sapienza," Piazzale Aldo Moro 2, 00185 Roma, Italy.

Physical Review Letters
|November 13, 2008
PubMed
Summary

Researchers explored competing phases in iron arsenide (FeAs) layers near superconductivity. They discovered a new magnetic phase with unique electron behavior and another phase with magnetic and charge order, potentially influenced by impurities.

Related Experiment Videos

Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Magnetism

Background:

  • Iron arsenide (FeAs) materials are known for exhibiting superconductivity.
  • Understanding competing electronic phases is crucial for designing novel superconductors.
  • Magnetic ordering and its interplay with electronic properties are key research areas.

Purpose of the Study:

  • To identify and characterize electronic phases that compete with superconductivity in FeAs layers.
  • To investigate the nature of magnetic transitions near half-filling.
  • To explore the possibility of novel magnetic and charge ordered phases.

Main Methods:

  • Utilizing the unrestricted Hartree-Fock approximation.
  • Applying Landau theory to analyze phase transitions.
  • Investigating electronic behavior and phase diagrams.

Main Results:

  • The transition from paramagnetic to magnetically ordered phases near half-filling is first-order.
  • A new magnetic phase was identified between the stripe phase and the paramagnetic phase, featuring perpendicular nearest-neighbor magnetic moments.
  • This new phase leads to non-trivial electron phases when circulating a plaquette at strong coupling.
  • A competing phase with coupled magnetic and charge order was found, potentially stabilized by impurities.

Conclusions:

  • The rich phase diagram of FeAs layers includes novel magnetic and charge ordered states.
  • Anharmonicities play a significant role in the magnetic phase transitions.
  • The discovered phases offer new avenues for understanding electron interactions in correlated materials.