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October 9, 2025Frontiers in PhysicsOpen Access

Exploring the neutron diffusion system under reflector boundaries via an ansatz approach: time-dependent solution

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This analysis demonstrates neutron flux behavior in supercritical and sub-critical conditions, indicating effective solution techniques.

Exact time-dependent solutions for neutron diffusion dynamics are presented under reflector boundaries, revealing critical insights.
Three cases—supercritical, critical, and sub-critical—highlight the robust physical interpretations of neutron flux and precursor concentration.
Using the ansatz approach, the study showcases computationally efficient methods for analyzing neutron behavior under varying conditions.
The technique's effectiveness lies in its capacity to handle both short-term transients and long-term steady states.

El‐Zahar et al. (2025) studied this question.

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October 9, 2025Frontiers in PhysicsOpen Access

View Full Paper

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Authors

This analysis demonstrates neutron flux behavior in supercritical and sub-critical conditions, indicating effective solution techniques.

Exact time-dependent solutions for neutron diffusion dynamics are presented under reflector boundaries, revealing critical insights.
Three cases—supercritical, critical, and sub-critical—highlight the robust physical interpretations of neutron flux and precursor concentration.
Using the ansatz approach, the study showcases computationally efficient methods for analyzing neutron behavior under varying conditions.
The technique's effectiveness lies in its capacity to handle both short-term transients and long-term steady states.

El‐Zahar et al. (2025) studied this question.

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