Calculation method and system for particle energy level population in non-local thermodynamic equilibrium plasma

A technology of plasma and calculation method, which is applied to the energy level population of particles in ions, and the simplified field of particle energy level population in ions, which can solve the problems of inapplicability, high cost and large amount of calculation, and achieve high efficiency. The effect of particle energy level population calculation

Active Publication Date: 2021-02-23
NAT UNIV OF DEFENSE TECH
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  • Description
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Problems solved by technology

From this point of view, although the above-mentioned collision radiation model has the highest accuracy, the amount of calculation is too large to be applied; the calc...

Method used

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  • Calculation method and system for particle energy level population in non-local thermodynamic equilibrium plasma
  • Calculation method and system for particle energy level population in non-local thermodynamic equilibrium plasma
  • Calculation method and system for particle energy level population in non-local thermodynamic equilibrium plasma

Examples

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Effect test

Embodiment 1

[0054] Example 1: Ne plasma close to local thermodynamic equilibrium in Table 1

[0055] (a) Ne particles with an ionization degree greater than 4 (ie, 5-degree ionized particles Ne 5+ ) percentage content is very small;

[0056] (b) In formula (6) and formula (7), take z=4, and take Ne 5+ The non-equilibrium bound state characteristic temperature T of b 5 =T e ;

[0057] (c) Use formula (7) to calculate Ne 5+ The assignment of and Q 5 ;

[0058] (d) According to formula (6), Ne 4+ The assignment of and Q 4 is a univariate function, the variable is Ne 4+ The nonequilibrium bound state characteristic temperature of

[0059] (e) put Q 5 and Q 4 Substituting into formula (5), it is obtained that only contains an equation for an unknown quantity;

[0060] (f) Solving the above equation, calculate

[0061] (g) will Substituting into formula (6), calculate Q 4 ;

[0062] (h) will and Q 4 Substitute into formula (8), and i traverses Ne 4+ All bound energy...

Embodiment 2

[0068] Example 2: Ne plasma with a small degree of non-local thermodynamic equilibrium in Table 1

[0069] (a) Ne particles with an ionization degree greater than 7 (that is, 8-degree ionized particles Ne 8+ ) percentage content is very small;

[0070] (b) In formula (6) and formula (7), take z=7, and take Ne 8+ The non-equilibrium bound state characteristic temperature T of b 8 =T e ;

[0071] (c) adopt the same approach as step (c)-(h) in Example 1 to obtain 7 degree ionized particle Ne 7+ The non-equilibrium energy level population of , the calculation result is as follows image 3 as shown in (f);

[0072] (d) According to the order of decreasing degree of ionization, adopt the same approach as steps (i)-(j) in Example 1, and calculate Ne 6+ 、Ne 5+ 、Ne 4+ 、Ne 3+ 、Ne 2+ The non-equilibrium energy level population of , the calculation results are as follows image 3 In (e), (d), (c), (b), (a) shown.

Embodiment 3

[0073] Example 3: Ne plasma with a relatively large degree of non-local thermodynamic equilibrium in Table 1

[0074] (a) Ne particles with an ionization degree greater than 8 (ie, 9-degree ionized particles Ne 9+) percentage content is very small;

[0075] (b) In formula (6) and formula (7), take z=8, and take Ne 9+ The non-equilibrium bound state characteristic temperature T of b 9 =T e ;

[0076] (c) The follow-up process is similar to that of Example 1 and Example 2. Ne 8+ 、Ne 7+ 、Ne 6+ 、Ne 5+ The non-equilibrium energy level population of , the calculation results are as follows Figure 4 In (d), (c), (b), (a) shown.

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Abstract

The invention discloses a calculation method and system for particle energy level population in non-local thermodynamic equilibrium plasma, and the particle energy level population in the non-local thermodynamic equilibrium plasma is calculated by utilizing the following formula shown in the specification. Non-equilibrium bound state characteristic temperature capable of reflecting the degree of the plasma deviating from the local thermodynamic equilibrium state is introduced; derivation is performed to obtain an improved Saha equation; meanwhile, the non-equilibrium bound state characteristictemperature is applied to an existing Boltzmann distribution formula, and a modified Boltzmann distribution formula is obtained. The method is suitable for both local thermal dynamic balance plasma and non-local thermal dynamic balance plasma. For non-local thermodynamic equilibrium plasmas, due to the fact that an energy level population rate equation set does not need to be solved, rapid and efficient particle energy level population calculation can be achieved while certain precision is guaranteed.

Description

technical field [0001] The invention relates to the fields of astrophysics, laser physics, confinement fusion and aerospace, in particular to a simplified method for calculating the energy level distribution of particles in nonlocal thermodynamic equilibrium plasma, which is used for calculating nonlocal thermodynamic equilibrium The energy level population of particles in a plasma. Background technique [0002] In the fields of astrophysics, X-ray laser physics, and confinement fusion, it is very important to study the radiation properties of plasma and the radiation transport and distribution in it. In order to obtain the radiation parameters of the plasma, the energy level population of the particles in the plasma must be known. [0003] The energy level population of particles in the plasma is related to the thermodynamic state of the plasma. The thermodynamic state of the plasma may be local thermodynamic equilibrium or nonlocal thermodynamic equilibrium. For local t...

Claims

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Application Information

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IPC IPC(8): G06F30/25G06F119/08
CPCG06F30/25G06F2119/08
Inventor 何新高城杨俊波江涛张海良杨俊才
Owner NAT UNIV OF DEFENSE TECH
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