A superconductor expels a magnetic field, just as a float is pushed out of water — remaining perfectly empty inside.
In practice: Magnetic levitation of trains using superconducting magnets and precise magnetic field measurements without interference.
Discovered in 1933 by Walther Meissner and Robert Ochsenfeld. Before this, it was thought that a superconductor is simply an ideal conductor with zero resistance, but the experiment revealed a deeper property: regardless of whether the magnetic field was applied before or after cooling, the magnetic induction inside the superconductor is always zero. This is like an elastic ball in carbon dioxide: the gas is displaced, and the ball maintains the field shape around it.
How it works
Thanks to this effect, magnetic levitation becomes possible: a superconductor hovers above a magnet without requiring energy input, which is used in high-speed train suspension and frictionless bearings.
💡 Based on the Meissner effect, ultra-sensitive magnetometers (SQUIDs) have been created, capable of detecting the magnetic field of a human heart from several centimeters away.
When a material becomes superconducting (conducts current without resistance) at a very low temperature, it completely expels the magnetic field (flux of magnetic lines) from its volume. This is similar to how water does not penetrate a sealed float: there is external pressure, but it does not get inside.
How it works
Thanks to this effect, magnetic levitation becomes possible: a superconductor hovers above a magnet without requiring energy input, which is used in high-speed train suspension and frictionless bearings.
💡 Tin, used in the first experiment, becomes superconducting at 3.72 K — just slightly warmer than the temperature of the cosmic microwave background radiation (2.73 K).
Upon transitioning to the superconducting state, the material becomes an ideal diamagnet: the magnetic induction B inside the volume decays exponentially from the surface with a characteristic length λ (London penetration depth) and becomes zero in the bulk. This means the superconductor not only completely shields the external field but also expels any pre-existing field upon cooling — a property absent in an ideal conductor.
Discovery
The effect was discovered in 1933 by German physicists Walther Meissner and Robert Ochsenfeld. They cooled tin and lead in a magnetic field and measured the field distribution, finding that the field is completely expelled upon transition to the superconducting state. This demonstrated that superconductivity is not merely the disappearance of resistance but a thermodynamic phase. Later, the London brothers (Fritz and Heinz) developed a phenomenological theory, and the microscopic explanation was provided by the BCS theory (Bardeen, Cooper, Schrieffer) in 1957.
How it works
The effect is used to create powerful magnets for MRI, particle accelerators, and levitating transport systems. Limits of applicability: the superconducting state is typically destroyed upon exceeding critical temperature, current density, or magnetic field. In type-II superconductors, the field partially penetrates in the form of vortices (mixed state), limiting ideal screening.
Caveats
The nature of high-temperature superconductivity remains not fully explained; Some materials exhibit unusual magnetic states that do not fit the standard model; The need for extreme cooling limits practical application
B is the magnetic induction vector, λ is the London penetration depth (the characteristic distance over which the field decays by a factor of e), ∇² is the Laplace operator (second derivative with respect to coordinates).
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