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Related Concept Videos

Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

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...
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis. This...
Magnetic Fields01:27

Magnetic Fields

A moving charge or a current creates a magnetic field in the surrounding space, in addition to its electric field. The magnetic field exerts a force on any other moving charge or current that is present in the field. Like an electric field, the magnetic field is also a vector field. At any position, the direction of the magnetic field is defined as the direction in which the north pole of a compass needle points.
A magnetic field is defined by the force that a charged particle experiences...
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
Two-Dimensional (2D) NMR: Overview01:12

Two-Dimensional (2D) NMR: Overview

The 1D NMR spectrum of large and complex molecules like natural products has complicated splitting patterns and overlapping signals, which can be easily interpreted using 2-dimensional (2D) NMR. Unlike 1D NMR, 2D NMR has two frequency axes that provide the coupling information between the nucleus A and nucleus B in a molecule. The process from which 2D spectra are obtained has four steps.
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Magnetic Field Due to Two Straight Wires01:18

Magnetic Field Due to Two Straight Wires

Consider two parallel straight wires carrying a current of 10 A and 20 A in the same direction and separated by a distance of 20 cm. Calculate the magnetic field at a point "P2", midway between the wires. Also, evaluate the magnetic field when the direction of the current is reversed in the second wire.

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Updated: May 25, 2026

Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers
12:37

Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers

Published on: September 4, 2015

Phase separation dynamics in a two-dimensional magnetic mixture.

K Lichtner1, A J Archer, S H L Klapp

  • 1Institute of Theoretical Physics, Secr. EW 7-1, Technical University Berlin, Hardenbergstr. 36, D-10623 Berlin, Germany. lichtner@mailbox.tu-berlin.de

The Journal of Chemical Physics
|January 21, 2012
PubMed
Summary
This summary is machine-generated.

We explored phase transitions in a two-dimensional binary fluid mixture using density functional theory (DFT). Ferromagnetic interactions drive a demixing phase transition in magnetic fluids at high densities.

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Area of Science:

  • Statistical Mechanics
  • Soft Matter Physics
  • Computational Physics

Background:

  • Investigating phase transitions in multi-component fluid systems is crucial for understanding material properties.
  • Binary mixtures with magnetic interactions present complex behaviors not fully understood.
  • Classical density functional theory (DFT) provides a powerful framework for studying such systems.

Purpose of the Study:

  • To investigate the demixing phase transition in a two-dimensional binary Heisenberg fluid mixture.
  • To analyze the role of ferromagnetic interactions in driving phase separation.
  • To characterize the fluid-fluid interface and the dynamics of phase separation.

Main Methods:

  • Utilizing classical density functional theory (DFT) with a mean-field approximation for particle interactions.
  • Modeling particles as Gaussian soft spheres with Heisenberg-type spin-spin interactions for one component.
  • Calculating phase diagrams in the density-concentration plane for varying magnetic coupling strengths.
  • Employing dynamical density functional theory (dDFT) to study nucleation and spinodal demixing.

Main Results:

  • A demixing phase transition was identified for sufficiently large magnetic coupling strengths and densities.
  • The phase transition is driven by the ferromagnetic interactions of the magnetic component.
  • Microscopic density profiles of the non-magnetic/magnetic fluid-fluid interface were obtained.
  • Dynamical simulations revealed nucleation processes and spinodal demixing.

Conclusions:

  • Ferromagnetic interactions can induce demixing in binary Heisenberg fluid mixtures.
  • DFT and dDFT are effective tools for studying magnetic fluid phase behavior and dynamics.
  • The study provides insights into the formation and characteristics of magnetic fluid interfaces.