Analytical solution of the mean field Ising model for finite systems

Journal of Physics. Condensed Matter : an Institute of Physics Journal
Dalía S BertoldiE N Miranda

Abstract

The Ising model for finite systems, e.g. for clusters of different sizes and crystal lattices, was solved analytically by the mean field approach. The magnetization was calculated from the number of accessible microstates, using the gamma function and its derivatives, unlike the usual solution in the microcanonical which uses the Stirling approximation. We determined a scaling exponent of ∼1/3, which shows how the Curie temperature decreases with decreasing nanoparticle size. Moreover, the model predicts the behaviour of surface and core regions and it explains in simple terms several effects previously observed in experiments and Monte Carlo simulations of small magnetic systems.

References

Oct 1, 1996·Physical Review. B, Condensed Matter·J P ChenA Kostikas
Feb 18, 1991·Physical Review Letters·J MerikoskiP Jena
Dec 16, 1991·Physical Review Letters·Z X TangG C Hadjipanayis
Dec 31, 2005·Physical Review Letters·Xiaoshan XuWalt A de Heer
Oct 15, 2010·The Journal of Chemical Physics·L G LópezA J Ramirez-Pastor
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·N G AlmarzaM M Telo da Gama
Feb 24, 2011·The Journal of Chemical Physics·N G AlmarzaM M Telo da Gama

❮ Previous
Next ❯

Citations

Oct 16, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Swarnali BandopadhyayA M Jayannavar

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M B Yilmaz, Frank M Zimmermann
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
F W S LimaR N Costa Filho
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A Pekalski
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Thomas P HandfordSergei N Taraskin
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
H HongM Y Choi
© 2021 Meta ULC. All rights reserved