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Related Concept Videos

Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

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An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
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Potential Due to a Magnetized Object01:24

Potential Due to a Magnetized Object

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Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
The vector...
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Diamagnetism01:26

Diamagnetism

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Materials consisting of paired electrons have zero net magnetic moments. However, when these materials are placed under an external magnetic field, the moments opposite to the field are induced. Such materials are called diamagnets. Diamagnetism is the response of the diamagnets when placed in an external magnetic field.
Diamagnetism was discovered by Anton Brugmans in 1778 when he observed that bismuth gets repelled by magnetic fields, thus theorizing that diamagnets get repelled by magnets....
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Ferromagnetism01:31

Ferromagnetism

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Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...
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Magnetic Susceptibility and Permeability01:31

Magnetic Susceptibility and Permeability

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In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of proportionality, a dimensionless number, is called magnetic susceptibility. The value of the susceptibility depends on the type of material.
When diamagnetic materials are placed under an external magnetic field, the moments opposite to the field are induced. Hence, the susceptibility for diamagnets has a minimal negative value of 10-5–10-6. Since...
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Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

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Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
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Magnetically Induced Rotating Rayleigh-Taylor Instability
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Absence of Normal Fluctuations in an Integrable Magnet.

Žiga Krajnik1, Enej Ilievski1, Tomaž Prosen1

  • 1Faculty for Mathematics and Physics, University of Ljubljana, Jadranska ulica 19, 1000 Ljubljana, Slovenia.

Physical Review Letters
|March 18, 2022
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Summary
This summary is machine-generated.

Dynamical fluctuations in a 1D spin model show normal distributions in the ballistic regime but become non-Gaussian with divergent cumulants in diffusive and superdiffusive regimes, linked to soliton modes.

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Area of Science:

  • Condensed matter physics
  • Statistical mechanics
  • Quantum magnetism

Background:

  • The Landau-Lifshitz magnet is a key model for interacting spins in one dimension.
  • Understanding dynamical fluctuations is crucial for characterizing magnetic systems.

Purpose of the Study:

  • To investigate dynamical fluctuations of transferred magnetization in a 1D lattice Landau-Lifshitz magnet.
  • To determine how these fluctuations depend on the dynamical scale and system properties.

Main Methods:

  • Analysis of dynamical fluctuations in thermal equilibrium.
  • Examination of ballistic, diffusive, and superdiffusive regimes.
  • Investigation of nonequilibrium dynamics in an isotropic magnet.

Main Results:

  • Fluctuations follow a normal distribution in the ballistic regime with finite cumulants.
  • Diffusive and superdiffusive timescales exhibit non-Gaussian fluctuations and divergent scaled cumulants.
  • Anomalous features are linked to soliton modes and disappear upon breaking integrability.
  • A slow drift of the dynamical exponent is observed in a nonequilibrium setting.

Conclusions:

  • The nature of dynamical fluctuations is highly sensitive to the characteristic dynamical scale.
  • Integrability and soliton modes play a critical role in the emergence of anomalous fluctuations.
  • Nonequilibrium dynamics reveal a transition in the system's scaling behavior.