Reformulation of the path probability method and its application to crystal growth models

Journal of Statistical Physics ◽

10.1007/bf01023859 ◽

1988 ◽

Vol 53 (5-6) ◽

pp. 1081-1101 ◽

Author(s):

Koh Wada ◽

Makoto Kaburagi ◽

Takashi Uchida ◽

Ryoichi Kikuchi

Keyword(s):

Crystal Growth ◽

Growth Models ◽

Probability Method ◽

Path Probability Method

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Crystal growth kinetics on stepped surface by the path probability method

Advances in the Understanding of Crystal Growth Mechanisms ◽

10.1016/b978-0-444-82504-9.50011-1 ◽

1999 ◽

pp. 101-113 ◽

Author(s):

K. Wada ◽

H. Ohmi

Keyword(s):

Crystal Growth ◽

Growth Kinetics ◽

Probability Method ◽

Crystal Growth Kinetics ◽

Stepped Surface ◽

Path Probability Method

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Multicritical phase diagrams of the ferromagnetic spin- Blume–Emery–Griffiths model with repulsive biquadratic coupling including metastable phases: The cluster variation method and the path probability method with the point distribution

Journal of Magnetism and Magnetic Materials ◽

10.1016/j.jmmm.2007.05.005 ◽

2008 ◽

Vol 320 (1-2) ◽

pp. 8-24 ◽

Author(s):

Mustafa Keskin ◽

Osman Canko

Keyword(s):

Phase Diagrams ◽

Cluster Variation Method ◽

Metastable Phases ◽

Variation Method ◽

Probability Method ◽

Point Distribution ◽

Cluster Variation ◽

Path Probability Method

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Dynamics of voltage-gated ion channels in cell membranes by the path probability method

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2003.09.010 ◽

2004 ◽

Vol 331 (1-2) ◽

pp. 51-60 ◽

Author(s):

Mahmut Özer ◽

Rıza Erdem

Keyword(s):

Ion Channels ◽

Cell Membranes ◽

Probability Method ◽

Voltage Gated ◽

Voltage Gated Ion Channels ◽

Path Probability Method ◽

Gated Ion Channels

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Spin Kinetics Studied by Path Probability Method

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.95-98.119 ◽

1993 ◽

Vol 95-98 ◽

pp. 119-124 ◽

Author(s):

Tetsuo Mohri ◽

Takayasu Ikegami

Keyword(s):

Probability Method ◽

Path Probability Method

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Dynamic phase diagrams of a ferrimagnetic mixed spin (1/2, 1) Ising system within the path probability method

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2015.05.110 ◽

2015 ◽

Vol 437 ◽

pp. 430-436 ◽

Author(s):

Mehmet Ertaş ◽

Mustafa Keskin

Keyword(s):

Phase Diagrams ◽

Probability Method ◽

Ising System ◽

Dynamic Phase Diagrams ◽

Dynamic Phase ◽

Path Probability Method

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Kinetic Study of an Alloy Phase by the Path Probability Method

Springer Series in Solid-State Sciences - Interatomic Potential and Structural Stability ◽

10.1007/978-3-642-84968-8_17 ◽

1993 ◽

pp. 168-177 ◽

Author(s):

T. Mohri

Keyword(s):

Kinetic Study ◽

Probability Method ◽

Path Probability Method

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Linear second order energy stable schemes for phase field crystal growth models with nonlocal constraints

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.07.030 ◽

2020 ◽

Vol 79 (3) ◽

pp. 764-788 ◽

Author(s):

Xiaobo Jing ◽

Qi Wang

Keyword(s):

Crystal Growth ◽

Phase Field ◽

Growth Models ◽

Second Order ◽

Order Energy ◽

Energy Stable Schemes ◽

Energy Stable ◽

Nonlocal Constraints ◽

Phase Field Crystal

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Dynamic magnetic hysteresis loop features of molecular-based magnetic materials and ferrimagnetic systems by the path probability method

Journal of Magnetism and Magnetic Materials ◽

10.1016/j.jmmm.2020.167242 ◽

2020 ◽

Vol 514 ◽

pp. 167242 ◽

Author(s):

Mustafa Gençaslan ◽

Mustafa Keskin

Keyword(s):

Hysteresis Loop ◽

Magnetic Materials ◽

Magnetic Hysteresis ◽

Magnetic Hysteresis Loop ◽

Probability Method ◽

Path Probability Method

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Configurational kinetics studied by Path Probability Method

Progress in Materials Science ◽

10.1016/j.pmatsci.2020.100765 ◽

2020 ◽

pp. 100765

Author(s):

Ryo Yamada ◽

Munekazu Ohno ◽

Tetsuo Mohri

Keyword(s):

Probability Method ◽

Path Probability Method

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A linear energy and entropy-production-rate preserving scheme for thermodynamically consistent crystal growth models

Applied Mathematics Letters ◽

10.1016/j.aml.2019.05.029 ◽

2019 ◽

Vol 98 ◽

pp. 142-148 ◽

Author(s):

Yucan Zhao ◽

Jun Li ◽

Jia Zhao ◽

Qi Wang

Keyword(s):

Crystal Growth ◽

Entropy Production ◽

Production Rate ◽

Growth Models ◽

Entropy Production Rate

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