Related Experiment Video
Updated: Aug 3, 2026
05:20
Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
Exact solution of return hysteresis loops in a one-dimensional random-field ising model at zero temperature
1Physics Department, North Eastern Hill University, Shillong-793 022, India.
Summary
Minor hysteresis loops were exactly found in a one-dimensional ferromagnetic random-field Ising model at zero temperature. Numerical simulations confirmed these exact findings, validating the model's behavior.
Area of Science:
- Condensed matter physics
- Statistical mechanics
- Magnetism
Background:
- The study of hysteresis in magnetic materials is crucial for understanding their behavior.
- The random-field Ising model provides a theoretical framework for investigating disordered magnetic systems.
Purpose of the Study:
- To investigate the occurrence of minor hysteresis loops in a specific magnetic model.
- To compare exact analytical results with numerical simulations.
Main Methods:
- Exact analytical solution of the one-dimensional ferromagnetic random-field Ising model.
- Zero-temperature simulations of the model.
Main Results:
- Exact derivation of minor hysteresis loops within the main hysteresis loop.
- Numerical simulations demonstrated excellent agreement with the exact analytical results.
Conclusions:
- The one-dimensional ferromagnetic random-field Ising model exhibits complex hysteresis behavior.
- The model accurately captures phenomena like minor hysteresis loops, validated by simulations.
More Related Videos
Related Concept Videos
01:14Atomic 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.
01:10Entropy Change in Reversible Processes
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
01:31Ferromagnetism
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...
01:28Magnetostatic 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...
01:14The Entropy as a State Function
Consider an arbitrary process that moves between two specific states (A and B) in a cyclic manner. This process is reversible and broken down into smaller parts that each follow a Carnot cycle. A Carnot cycle has two isothermal (constant temperature) processes. During these processes, the ratio of the amount of heat transferred to their respective temperature remains constant. The other two processes in the Carnot cycle are also reversible but adiabatic, which means they occur without any heat...
01:18Second Order systems II
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
If ζ...
If ζ...