Néel relaxation 2026-10-20
Thermally activated reorientation of a particle's internal magnetic moment across an anisotropy barrier. It differs from rotating the whole particle in a fluid. Its timescale can determine a measurement-dependent magnetic blocking temperature.
Thermally activated moment reversal, or Néel relaxation, often has an activated timescaleLowering temperature increases . When it becomes comparable to the observation time , the ensemble crosses an operational magnetic blocking temperature,Above this blocking crossover, an equilibrated ensemble remains reversible; its low-field susceptibility can increase as temperature falls. Below it, moments cannot fully relax during the field sweep, so magnetic coercivity and remanence can emerge and the loop opens. A distribution of particle volumes/anisotropies broadens the crossover.
This is a timescale-dependent blocking effect, not necessarily a thermodynamic phase transition. Rotation of whole particles in a fluid can supply an additional relaxation channel, and the particle orientation distribution affects the observed loop. Compare sweep rates and temperatures before interpreting one curve as an intrinsic static material law.
Oceanic magnetic anomalies. Newly formed oceanic crust contains magnetic minerals. As it cools through their magnetic blocking temperatures, it acquires thermoremanent magnetization recording the ambient field polarity. Continuing seafloor spreading carries that record away from the ridge. Geomagnetic reversals therefore generate approximately paired marine magnetic stripes parallel to the ridge, with older crust farther from its axis. A magnetometer measures the superposed field above this magnetized material; subtracting a reference field reveals magnetic anomalies. The anomaly sign and shape depend on magnetization direction, latitude, source depth and geometry, so a positive measured anomaly is not universally identical to normal rock polarity.[ref]
Developing the theory by United States Geological Survey. Sections Magnetic striping and polar reversals, and Seafloor spreading and recycling of oceanic crust
Matching a sequence of stripes to an independently dated reversal chronology gives plate ages and spreading histories. A stripe of width formed over interval implies half-spreading rate under steady symmetric spreading; full separation speed is . Unequal widths on opposite flanks can reflect asymmetric spreading or later deformation. Alteration, remagnetization and overlapping magnetic sources complicate inversion. The sequence correlation is stronger evidence than an isolated stripe or a field-strength peak.
Rayleigh-Bénard convection. Consider a horizontal fluid layer of thickness , hotter below by . The conductive state is motionless with a linear temperature gradient. A rising warm parcel is buoyant, but viscosity resists its motion and thermal diffusion erases its temperature anomaly. In the Boussinesq approximation, density variations are retained in buoyancy while the flow is otherwise incompressible. The competing effects are measured by the Rayleigh number and Prandtl number,For stress-free impermeable, fixed-temperature boundaries, linear stationary disturbances with horizontal wavenumber giveMinimizing gives and the critical Rayleigh number for an isothermal layer, . Two rigid no-slip, fixed-temperature boundaries instead give approximately ; the critical value is not independent of boundary conditions.[ref]
Boundary layer turbulence by Massachusetts Institute of Technology. Chapter 20, §20.4, critical value for two rigid isothermal plates
Above onset, buoyancy can sustain overturning rolls and heat transfer exceeds pure conduction, with Nusselt number . Nonlinear advection eventually limits the disturbance; larger driving can produce time-dependent or turbulent states. The ideal Boussinesq problem does not require hexagonal cells: planform selection depends on boundaries and non-Boussinesq effects. Convection driven by surface tension at a free surface is a distinct mechanism. An adverse temperature gradient supplies driving, but overcoming diffusion and viscosity requires a finite threshold.