JP2011047785A5 - - Google Patents
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- JP2011047785A5 JP2011047785A5 JP2009196229A JP2009196229A JP2011047785A5 JP 2011047785 A5 JP2011047785 A5 JP 2011047785A5 JP 2009196229 A JP2009196229 A JP 2009196229A JP 2009196229 A JP2009196229 A JP 2009196229A JP 2011047785 A5 JP2011047785 A5 JP 2011047785A5
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Claims (19)
前記磁性体の形状と、スピン系で表現される前記磁性体の磁化と磁場の関係を有する解析条件と、磁場の運動方程式を記憶する記憶手段と、
前記解析条件から、前記磁性体を構成する粒子の磁場の運動方程式の係数、変数の初期値および定数を演算して、前記磁場の運動方程式の解を演算し、該解に基づき、前記空間における任意の点の磁場を演算する演算手段と、
を有することを特徴とする磁場解析装置。 A magnetic field analysis device for analyzing a magnetic field at an arbitrary point in a space where a magnetic material is arranged using an information processing device,
Storage means for storing the shape of the magnetic material, analysis conditions having a relationship between the magnetization and magnetic field of the magnetic material expressed by a spin system, and a motion equation of the magnetic field;
From the analysis conditions, the coefficient of the motion equation of the magnetic field of the particles constituting the magnetic body, the initial value and the constant of the variable are calculated, the solution of the motion equation of the magnetic field is calculated, and based on the solution, A computing means for computing the magnetic field at an arbitrary point;
A magnetic field analysis apparatus comprising:
磁性体モデルのスピン系の平衡状態で表現される磁場とスピンの関係と、
スピン系の平衡状態におけるスピンの総和で表現されるスピンと磁化の関係と、
を有することを特徴とする請求項１記載の磁場解析装置。 The relationship between the magnetization and magnetic field of the magnetic material is
The relationship between the magnetic field and spin expressed in the equilibrium state of the spin system of the magnetic model,
The relationship between spin and magnetization expressed as the sum of spins in the equilibrium state of the spin system,
The magnetic field analysis apparatus according to claim 1, further comprising:
磁性体モデルのスピン系のエネルギー式にモンテカルロ法を適用することによりスピン系の平衡状態を求める平衡状態算出手段を有することを特徴とする請求項２記載の磁場解析装置。 The analysis conditions are:
3. The magnetic field analysis apparatus according to claim 2 , further comprising an equilibrium state calculation means for obtaining an equilibrium state of the spin system by applying a Monte Carlo method to the energy equation of the spin system of the magnetic material model.
前記磁性体のスピン系を設定し、前記スピン系を構成するスピンの一部を無作為に反転させ、反転前後のエネルギーの差分を求める差分算出手段と、
前記差分が０以下の場合、もしくは０より大きく、ボルツマン分布を用いた確率変数が一様乱数よりも大きい場合に反転後のスピン系を選択し、それ以外の場合は反転前のスピン系を選択する選択手段と、
前記差分算出手段、前記選択手段を１モンテカルロステップ繰り返す繰り返し手段と、
を有することを特徴とする請求項３記載の磁場解析装置。 The equilibrium state calculating means includes
A difference calculation means for setting a spin system of the magnetic material, randomly inverting a part of the spins constituting the spin system, and obtaining a difference in energy before and after the inversion;
If the difference is less than or equal to 0, or greater than 0 and the random variable using the Boltzmann distribution is greater than a uniform random number, select the spin system after inversion, otherwise select the spin system before inversion Selection means to
The difference calculating means, the selecting means and repeating means for repeating one Monte Carlo step;
The magnetic field analysis apparatus according to claim 3, further comprising:
前記磁性体を構成する粒子の位置ベクトルと、
前記磁性体の磁化と磁場の関係と、
から演算されることを特徴とする請求項１〜６のいずれか一項に記載の磁場解析装置。 The coefficient of the equation of motion of the magnetic field is
A position vector of particles constituting the magnetic body;
The relationship between the magnetization and magnetic field of the magnetic material,
Magnetic field analysis apparatus according to any one of claims 1 to 6, characterized in that calculated from.
磁場の項を含む粒子のラグランジアンを磁場ベクトルと磁場ベクトルの時間微分を正準変数としてラグランジュの運動方程式に代入することで求められたことを特徴とする請求項１〜７のいずれかに記載の磁場解析装置。 The equation of motion of the magnetic field is
According to any one of claims 1 to 7, characterized in that obtained by substituting the equation of motion Lagrangian Lagrangian particle including a term of the magnetic field time derivative of the magnetic field vector and the magnetic field vector as the canonical variables Magnetic field analyzer.
前記解析条件は導体の形状と電流を有することを特徴とする請求項１〜８のいずれかに記載の磁場解析装置。 A conductor is further arranged in the space,
The analysis conditions are magnetic field analysis apparatus according to any one of claims 1-8, characterized in that it comprises a conductor shape and current.
前記磁性体の形状と、スピン系で表現される前記磁性体の磁化と磁場の関係を有する解析条件と磁場の運動方程式を記憶する工程（ａ）と、
前記解析条件から、前記磁性体を構成する粒子の磁場の運動方程式の係数および変数の初期値および定数を演算して、磁場の運動方程式の解を演算し、
磁場の運動方程式の解に基づき、前記空間における任意の点の磁場を演算する工程（ｂ）と、
を有することを特徴とする磁場解析方法。 A magnetic field analysis method for analyzing a magnetic field at an arbitrary point in a space where a magnetic material is arranged using an information processing device,
(A) storing the shape of the magnetic material, analysis conditions having a relationship between the magnetization of the magnetic material expressed by a spin system and a magnetic field, and an equation of motion of the magnetic field;
From the analysis conditions, calculate the initial value and constant of the equation of motion and the variable of the magnetic field of the particles constituting the magnetic body, calculate the solution of the motion equation of the magnetic field,
A step (b) of calculating a magnetic field at an arbitrary point in the space based on the solution of the equation of motion of the magnetic field;
A magnetic field analysis method characterized by comprising:
磁性体モデルのスピン系の平衡状態で表現される磁場とスピンの関係と、
スピン系の平衡状態におけるスピンの総和で表現されるスピンと磁化の関係と、
を有することを特徴とする請求項１１記載の磁場解析方法。 The relationship between the magnetization and magnetic field of the magnetic material is
The relationship between the magnetic field and spin expressed in the equilibrium state of the spin system of the magnetic model,
The relationship between spin and magnetization expressed as the sum of spins in the equilibrium state of the spin system,
The magnetic field analysis method according to claim 11, further comprising :
磁性体モデルのスピン系のエネルギー式にモンテカルロ法を適用することによりスピン系の平衡状態を求める平衡状態算出工程を有することを特徴とする請求項１２記載の磁場解析方法。 The analysis conditions are:
13. The magnetic field analysis method according to claim 12 , further comprising an equilibrium state calculation step of obtaining an equilibrium state of the spin system by applying a Monte Carlo method to the energy equation of the spin system of the magnetic material model.
前記磁性体のスピン系を設定し、前記スピン系を構成するスピンの一部を無作為に反転させ、反転前後のエネルギーの差分を求める差分算出手工程と、
前記差分が０以下の場合、もしくは０より大きく、ボルツマン分布を用いた確率変数が一様乱数よりも大きい場合に反転後のスピン系を選択し、それ以外の場合は反転前のスピン系を選択する選択工程と、
前記差分算出工程、前記選択工程を１モンテカルロステップ繰り返す繰り返し工程と、
を有することを特徴とする請求項１３記載の磁場解析方法。 The equilibrium state calculation step includes
A difference calculating step of setting a spin system of the magnetic material, randomly inverting a part of the spins constituting the spin system, and obtaining a difference in energy before and after the inversion;
If the difference is less than or equal to 0, or greater than 0 and the random variable using the Boltzmann distribution is greater than a uniform random number, select the spin system after inversion, otherwise select the spin system before inversion A selection process to
A step of repeating the difference calculating step and the selecting step by one Monte Carlo step;
The magnetic field analysis method according to claim 13, further comprising :
前記磁性体を構成する粒子の位置ベクトルと、
前記磁性体の磁化と磁場の関係と、
から演算されることを特徴とする請求項１１〜１６のいずれか一項に記載の磁場解析方法。 The coefficient of the equation of motion of the magnetic field is
A position vector of particles constituting the magnetic body;
The relationship between the magnetization and magnetic field of the magnetic material,
Magnetic field analysis method according to any one of claims 11 to 16, characterized in that calculated from.
磁場の項を含む粒子のラグランジアンを磁場ベクトルと磁場ベクトルの時間微分を正準変数としてラグランジュの運動方程式に代入することで求められたことを特徴とする請求項１１〜１７のいずれかに記載の磁場解析方法。 The equation of motion of the magnetic field is
According to any one of claims 11 to 17, characterized in that obtained by substituting the equation of motion Lagrangian Lagrangian particle including a term of the magnetic field time derivative of the magnetic field vector and the magnetic field vector as the canonical variables Magnetic field analysis method.
前記解析条件は導体の形状と電流を有することを特徴とする請求項１１〜１８のいずれかに記載の磁場解析方法。 A conductor is further arranged in the space,
The analysis conditions are magnetic field analysis method according to any one of claims 11 to 18, characterized in that it has a conductor shape and current.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP2009196229A JP5478154B2 (en) | 2009-08-27 | 2009-08-27 | Magnetic field analyzer and method of operating magnetic field analyzer |
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| Application Number | Priority Date | Filing Date | Title |
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| JP2009196229A JP5478154B2 (en) | 2009-08-27 | 2009-08-27 | Magnetic field analyzer and method of operating magnetic field analyzer |
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| Publication Number | Publication Date |
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| JP2011047785A JP2011047785A (en) | 2011-03-10 |
| JP2011047785A5 true JP2011047785A5 (en) | 2012-01-12 |
| JP5478154B2 JP5478154B2 (en) | 2014-04-23 |
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| CN108145975B (en) * | 2018-02-05 | 2019-08-30 | 吉林大学 | A kind of magnetic field forward modeling system and method for three-dimensional motion object |
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| JPH10188042A (en) * | 1996-12-27 | 1998-07-21 | Canon Inc | Analyzing method by infinite element method and device therefor |
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