phenomenon

magnetic field effects

Magnetic fields induce changes in materials, cooling, transitions, or structural patterns.
29 related articles · 6 formulas

Description

Magnetic field effects encompass a wide range of phenomena where magnetic fields alter the physical properties of materials, including inducing phase transitions, cooling (magnetocaloric effect), changing electrical resistance (magnetoresistance), or organizing particles into structured patterns. These effects arise from the interaction between the magnetic field and the spins or orbital motion of electrons, which can lead to macroscopic changes in a material's behavior.

History

The foundational effects were discovered in the 19th century (e.g., Faraday's magneto-optical effect, 1845) and the Zeeman effect (1896). The magnetocaloric effect was discovered by Emil Warburg in 1881, and giant magnetoresistance (GMR) was found in 1988 by Albert Fert and Peter Grünberg, leading to the 2007 Nobel Prize in Physics.

How it works

A magnetic field exerts a torque on magnetic moments (electron spins) and affects the motion of charged particles via the Lorentz force. In materials, this can align spins, suppress or enhance superconductivity, shift energy levels (Zeeman effect), or modify the density of states near the Fermi level. In magnetic fluids, the field induces dipole-dipole interactions that cause particles to chain into filaments. In magnetocaloric materials, changing the field alters the magnetic entropy, which is compensated by heat absorption or release from the lattice, leading to temperature changes.

In practice

Magnetic fields are used in magnetic resonance imaging (MRI), magnetic refrigeration, hard disk read heads (GMR), and controlling the behavior of magnetic nanoparticles in targeted drug delivery.

Fun fact

The Meissner effect, where a superconductor expels all magnetic fields, can be observed at room temperature in certain high-temperature superconductors, though still requiring very low temperatures compared to everyday life.

Concept graph →

Formulas

$$\Delta \phi = \phi_1 - \phi_2$$
The difference in work functions between two materials creates a built-in potential.
What is in the formula
ΔφvariableDifference in work functions — work function difference joule
φ₁variableWork function of material 1 — work function joule
φ₂variableWork function of material 2 — work function joule
δφ=φ_{{низк}}-φ_{{высок}} · 2606.23508
$$B > v \sqrt{4\pi \rho}$$
Magnetic field strength required to balance kinetic energy density.
What is in the formula
BvariableMagnetic field strength — magnetic field strength tesla
vvariableCharacteristic velocity of plasma flow — velocity metre per second
ρvariableMass density of the plasma — mass density kilogram per cubic metre
√operatorTakes the square root of the argument — square root
b>v_{{ufo}}\sqrt{4πnm_p} · 2606.25636
$$l_B = \sqrt{\frac{\hbar}{eB}}$$
Characteristic length scale for electrons in a magnetic field.
What is in the formula
l_BvariableMagnetic length — length metre
BvariableMagnetic field strength — magnetic flux density tesla
ħconstantReduced Planck constant, fundamental quantum of angular momentum — reduced planck constant = 1.054571817e-34 joule second
econstantElementary charge, the magnitude of charge of an electron — elementary charge = 1.602176634e-19 coulomb
√operatorSquare root of the argument — square root
l_b=\sqrt{\frac{ħ}{eb}} · 2607.09244
$$B_{\mathrm{sat}} = v_{\mathrm{rms}} \sqrt{4\pi f_{\mathrm{sat}} \rho}$$
Saturated magnetic field strength scales with turbulent velocity and density.
What is in the formula
B_{\mathrm{sat}}variablesaturated magnetic field strength — magnetic flux density tesla
v_{\mathrm{rms}}variableroot-mean-square turbulent velocity — velocity metre per second
f_{\mathrm{sat}}variablefraction of turbulent energy converted to magnetic energy
\rhovariablemass density of the medium — mass density kilogram per cubic metre
\sqrt{}operatortakes the square root of the argument — square root
b_{{sat}}=v_{{rms}}\sqrt{4πf_{{sat}}ρ_0} · 2607.21990v1
$$\Delta n \propto r E$$
Refractive index change proportional to electric field.
What is in the formula
ΔnvariableChange in refractive index — refractive index change
EvariableApplied electric field — electric field volt per metre
rconstantPockels coefficient (linear electro-optic coefficient) — pockels coefficient = varies by material (e.g., 30.8e-12 for L metre per volt
δn\simr_{33}e · 2604.23259
$$J(\theta) \propto \cos(2\theta)$$
Exchange coupling varies with angle between magnetic moments.
What is in the formula
\thetavariableAngle between the magnetic moments of two interacting spins — angle radian
JvariableExchange coupling strength between the two magnetic moments — exchange coupling joule
j(θ)\approxj_0\cos(2θ) · 2606.28458

Related articles · 29

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