• Journal of the Korean Data and Information Science Society
• /
• v.20 no.1
• /
• pp.225-235
• /
• 2009

Lattice process models are used to explain phase transitions in statistical mechanics, a branch of physics. The Ising model, a specific form of lattice process model, was proposed by Ising in 1925. Since then, variants of the Ising model such as the Potts model and the unitary cell model have been proposed. Like the Ising model, it is believed that the more general models exhibit phase transitions on the critical surface, which is based on the mathematical equation. In statistical sense, phase transitions can be simulated through Markov Chain Monte Carlo (MCMC). We applied Swendsen-Wang algorithm, a block Gibbs algorithm, to a general lattice process models and we simulate phase transition phenomena of the unitary cell model.

• Communications for Statistical Applications and Methods
• /
• v.29 no.1
• /
• pp.27-40
• /
• 2022

In this paper, the focus on the removal noise in the binary image based on the variational Bayesian method with the Ising model. The observation and the latent variable are the degraded image and the original image, respectively. The posterior distribution is built using the Markov random field and the Ising model. Estimating the posterior distribution is the same as reconstructing a degraded image. MCMC and variational Bayesian inference are two methods for estimating the posterior distribution. However, for the sake of computing efficiency, we adapt the variational technique. When the image is restored, the iterative method is used to solve the recursive problem. Since there are three model parameters in this paper, restoration is implemented using the VECM algorithm to find appropriate parameters in the current state. Finally, the restoration results are shown which have maximum peak signal-to-noise ratio (PSNR) and evidence lower bound (ELBO).

• Proceeding of EDISON Challenge
• /
• 2017.03a
• /
• pp.100-109
• /
• 2017

이번 연구에서 우리는 궤적 앙상블을 이용해 1 차원 Ising 모형의 동역학적 상전이를 관측했다. s 앙상블이라고도 불리는 궤적 앙상블은 활성도의 켤레 변수를 도입해 활성도에 편중을 두어 궤적을 추출한 앙상블이다. 평형상태에 있는 1 차원 Ising 모델에서는 외부 자기장이 존재하지 않을 때 상전이가 나타나지 않는다. 하지만 s 앙상블을 통해서 우리는 1 차원 Ising 모형에서 동역학적 상전이가 존재한다는 사실을 발견할 수 있었다. 이동역학적 상전이는 유한 크기 조정 법칙이 잘 적용되며 2 차원 Ising 모형과 같은 보편성 등급을 가진 것을 통해 두 상전이가 서로 연관되어 있다는 것을 알 수 있었다. 또한 열역학적 함수인 에너지와 동역학적 함수인 활성도 사이에 선형관계가 존재하는 점을 통해 동역학적 함수와 열역학적 함수 사이의 관계가 존재하는 것을 확인했다. 마지막으로 또 다른 열역학적인 함수인 자화도에 편중을 두었을 때 동역학적 상전이가 일어나는 임계점이 이동하는 것을 통해 에너지 외의 다른 열역학적 함수도 동역학적 함수와 연관된다는 것을 알아냈다.

• Journal of the Korean Chemical Society
• /
• v.64 no.6
• /
• pp.345-349
• /
• 2020

In the self-assembled monolayer (SAM) of alkanethiol formed on a gold surface, some molecules fail to chemisorb with their terminal alkyl groups physisorbed. The previous molecular dynamics (MD) simulation showed that these defects can be cured by thermal annealing. Herein, we present a simple Ising model of alkanethiol. The Monte Carlo simulation based on the present model reproduced the essential features of the annealing of SAM observed in the MD simulation.

• Bulletin of the Korean Chemical Society
• /
• v.33 no.3
• /
• pp.980-986
• /
• 2012

In this paper we develop a minimalist model of single molecule spectroscopy in a dynamic environment. Our model is based upon a lattice system consisting of a probe molecule embedded in an Ising-model like environment. We assume that the probe molecule interacts with the Ising spins via a dipole-dipole potential, and calculate free energy curves and lineshapes of the system. To investigate fluctuation behavior of the system we exploit the metadynamics sampling method. In particular, using the method, we calculate the free energy curve of magnetization of the lattice and that of the transition energy of the probe molecule. Furthermore, we compare efficiencies of three different sampling methods used; unbiased, umbrella, and metadynamics sampling methods. Finally, we explore the lineshape behavior of the probe molecule as the system undergoes a phase transition from a sub-critical and to a super-critical temperature. We show that the transition energy of a probe molecule is broadly distributed due to the heterogeneous, local environments.

• Journal of Magnetics
• /
• v.19 no.4
• /
• pp.315-322
• /
• 2014

In this work, Artificial Neural Network (ANN) was used to model the dynamic behavior of ferromagnetic hysteresis derived from performing the mean-field analysis on the Ising model. The effect of field parameters and system structure (via coordination number) on dynamic critical points was elucidated. The Ising magnetization equation was drawn from mean-field picture where the steady hysteresis loops were extracted, and series of the dynamic critical points for constructing dynamic phase-diagram were depicted. From the dynamic critical points, the field parameters and the coordination number were treated as inputs whereas the dynamic critical temperature was considered as the output of the ANN. The input-output datasets were divided into training, validating and testing datasets. The number of neurons in hidden layer was varied in structuring ANN network with highest accuracy. The network was then used to predict dynamic critical points of the untrained input. The predicted and the targeted outputs were found to match well over an extensive range even for systems with different structures and field parameters. This therefore confirms the ANN capabilities and indicates the ANN ability in modeling the ferromagnetic dynamic hysteresis behavior for establishing the dynamic-phase-diagram.

• Journal of the Korean Ceramic Society
• /
• v.40 no.7
• /
• pp.615-619
• /
• 2003

Temperature and frequency dependence of dielectric and electrical properties was investigated in cerium and manganese doped Sr$\_$0.6/Ba$\_$0.4/Nb$_2$O$\_$6/(60SBN) ceramic system. Structural deformation of 60SBN by dopants did not appeared. 1350$^{\circ}C$-10 h sintered specimen had higher densification than 1250$^{\circ}C$-10 h sintered one, to which dielectric properties are related. That the feature of dielectric maxima peaks was typical Diffusive Phase Transition (DPT), it was explained by "random-field Ising model". Even though 60SBN has large dielectric loss at high frequency above 100 ㎑, it is desirable for optical applications because of low dielectric loss at low frequency. From Arrhenius plot of temperature, the activation energy was calculated to 0.45-0.49 eV.

• Journal of KIISE:Software and Applications
• /
• v.28 no.3
• /
• pp.298-304
• /
• 2001

Markov 랜덤 필드(MRF)를 이용한 질감 영상의 영역분할을 각 영역을 기술해줄 수 있는 제대로 된 파라미터들을 찾는 것이 가장 중요하다. 종래에는 입력영상의 질감 영역의 수와 그 형태 등을 초기에 적당히 가정하여 파라미터를 찾는 방법을 써왔는데 실제 영상에는 잘 맞지 않았다. 최근에 완화법(Relaxation)을 이용하여 MRF의 파라미터를 찾는 방법이 제안[8]되었는데 오직 일반화된 Ising 모형에서만 사용가능 하였다. 본 논문에서는 비교적 자연영상에 적합한 자기이항 모형(Auto-binomial Model)에 변형된 완화법을 적용시켜 파라미터를 추정하고 질감 영상을 분할해 보았다. 그 결과 이전의 Ising 모형으로는 어려웠던 자연영산의 분할에서 좋은 결과를 얻을 수 있었다.

• Bulletin of the Korean Chemical Society
• /
• v.4 no.4
• /
• pp.191-193
• /
• 1983

• Proceedings of the Korean Magnestics Society Conference
• /
• 2008.12a
• /
• pp.14.1-14.1
• /
• 2008