Distributions of zeros of ising spin-glass partition functions in two-dimensional lattices
Issued Date
1987
Copyright Date
1987
Resource Type
Language
eng
File Type
application/pdf
No. of Pages/File Size
44 leaves : ill.
Access Rights
open access
Rights
ผลงานนี้เป็นลิขสิทธิ์ของมหาวิทยาลัยมหิดล ขอสงวนไว้สำหรับเพื่อการศึกษาเท่านั้น ต้องอ้างอิงแหล่งที่มา ห้ามดัดแปลงเนื้อหา และห้ามนำไปใช้เพื่อการค้า
Rights Holder(s)
Mahidol University
Bibliographic Citation
Thesis (M.Sc. (Chemical Physics))--Mahidol University, 1987
Suggested Citation
Teparksorn Pengpan Distributions of zeros of ising spin-glass partition functions in two-dimensional lattices. Thesis (M.Sc. (Chemical Physics))--Mahidol University, 1987. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/103353
Title
Distributions of zeros of ising spin-glass partition functions in two-dimensional lattices
Alternative Title(s)
การกระจายของพาทิชั่นฟังก์ชั่นซีโรของระบบแม่เหล็ก
Author(s)
Advisor(s)
Abstract
In this thesis the characteristics of zero distributions of Ising spin-glass partition functions in two-dimensional lattices, such as square, triangular, and kagome lattices, are shown in complex temperature z plane. It has been found that the zeros of partition function of the model on square lattice lie on a unit circle. Similarly, in the Ising spin-glass triangular lattice, the zeros are located on a unit circle and the real z axis. In the Ising spin-glass kagome lattice, however, the zeros are distributed in the complex z plane and some of them are located both on the real as well as imaginary z axes. It has been known that the locus of zeros of partition function divides the complex plane into holomorphic regions in which the free energy is analytic. Only those regions on the positive real axis correspond to physical phases of the system while the off-positive real axis regions are nonphysical. These holomorphic regions as well as transition temperatures for both isotropic Ising and Ising spin-glass models in two-dimensional lattices are discussed in detail.
Description
Chemical Physics (Mahidol University 1987)
Degree Name
Master of Science
Degree Level
Master's degree
Degree Department
Faculty of Science
Degree Discipline
Chemical Physics
Degree Grantor(s)
Mahidol University