Simplified transfer matrix approach in the two-dimensional Ising model with various boundary conditions.

Phys Rev E Stat Nonlin Soft Matter Phys

Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany.

Published: November 2002

A recent simplified transfer matrix solution of the two-dimensional Ising model on a square lattice with periodic boundary conditions is generalized to periodic-antiperiodic, antiperiodic-periodic, and antiperiodic-antiperiodic boundary conditions. It is suggested to employ linear combinations of the resulting partition functions to investigate finite-size scaling. An exact relation of such a combination to the partition function corresponding to Brascamp-Kunz boundary conditions is found.

Download full-text PDF

Source
http://dx.doi.org/10.1103/PhysRevE.66.057103DOI Listing

Publication Analysis

Top Keywords

boundary conditions
16
simplified transfer
8
transfer matrix
8
two-dimensional ising
8
ising model
8
matrix approach
4
approach two-dimensional
4
boundary
4
model boundary
4
conditions
4

Similar Publications

Global health prioritizes improving health and achieving equity in health for all people worldwide. It encompasses a wide range of efforts, including disease prevention and treatment, health promotion, healthcare delivery, and addressing health disparities across borders. Short-term medical and surgical missions often contribute to the global health landscape, especially in low and lower-middle income countries.

View Article and Find Full Text PDF

Hepatocellular carcinoma (HCC) is by far the predominant malignant liver cancer, with both high morbidity and mortality. Early diagnosis and surgical resections are imperative for improving the survival of HCC patients. However, limited by clinical diagnosis methods, it is difficult to accurately distinguish tumor tissue and its boundaries in the early stages of cancer.

View Article and Find Full Text PDF

Local hemodynamics play an essential role in the initiation and progression of coronary artery disease. While vascular geometry alters local hemodynamics, the relationship between vascular structure and hemodynamics is poorly understood. Previous computational fluid dynamics (CFD) studies have explored how anatomy influences plaque-promoting hemodynamics.

View Article and Find Full Text PDF

Computational modeling of cardiac hemodynamics including chordae tendineae, papillaries, and valves dynamics.

Comput Biol Med

January 2025

LaBS, Dipartimento di Chimica, Materiali e Ingegneria Chimica "Giulio Natta", Politecnico di Milano, Piazza Leonardo da Vinci 32, Milan, 20133, Italy. Electronic address:

In the context of dynamic image-based computational fluid dynamics (DIB-CFD) modeling of cardiac system, the role of sub-valvular apparatus (chordae tendineae and papillary muscles) and the effects of different mitral valve (MV) opening/closure dynamics, have not been systemically determined. To provide a partial filling of this gap, in this study we performed DIB-CFD numerical experiments in the left ventricle, left atrium and aortic root, with the aim of highlighting the influence on the numerical results of two specific modeling scenarios: (i) the presence of the sub-valvular apparatus, consisting of chordae tendineae and papillary muscles; (ii) different MV dynamics models accounting for different use of leaflet reconstruction from imaging. This is performed for one healthy subject and one patient with mitral valve regurgitation.

View Article and Find Full Text PDF

Anthropogenic disturbances degrade ecosystems, elevating the risk of emerging infectious diseases from wildlife. However, the key environmental factors for preventing tick-borne disease infection in relation to host species, landscape components, and climate conditions remain unknown. This study focuses on identifying crucial environmental factors contributing to the outbreak of severe fever with thrombocytopenia syndrome (SFTS), a tick-borne disease, in Miyazaki Prefecture, southern Japan.

View Article and Find Full Text PDF

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!