Parâmetro de plasma
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The plasma parameter (Λ) measures the relationship between particle density (n) and Debye length (λD) in an ionized system. The formula Λ = n·λD³ calculates the average number of particles within a Debye sphere. When Λ >> 1, the system follows plasma laws, ensuring collective interactions dominate over individual collisions. This calculation is vital in plasma physics to validate if a sample qualifies as plasma.
To use the calculator, input the particle density (n) and Debye length (λD). The program multiplies the cube of λD by the density, resulting in Λ. Values above 100 confirm plasma behavior, while Λ < 100 suggests the system doesn't meet plasma criteria. This calculation is common in nuclear fusion studies, astrophysics, and plasma engineering.
Common precautions include unit accuracy: n must be in particles/m³ and λD in meters. Mistakes often occur when confusing Debye length with other length scales. It's also critical that input values are obtained under isothermal conditions, as temperature variations affect λD. This calculator does not replace specialized software for plasma simulations.
Typical applications include analyzing lab plasmas, studying auroras, and designing fusion reactors. In educational settings, the calculation helps teach collective behavior in ionized systems. For reliable results, ensure input data corresponds to equilibrium systems without external field contamination.
Frequently asked questions
What does the plasma parameter indicate?
It indicates the average number of particles in a Debye sphere. If much greater than 1, the system behaves as plasma.
When should I use this calculator?
When validating if an ionized system meets plasma criteria, such as fusion research or astrophysical studies.
What are common errors when calculating Λ?
Using incorrect units for density or Debye length, or applying the calculation to non-equilibrium systems.
Why is Λ < 100 not plasma?
Because collective interactions are insufficient to form plasma. Individual collisions dominate system behavior.
What are practical applications of this calculator?
Design of fusion reactors, analysis of space plasmas, and plasma physics education in academic labs.