Thermodynamic Cascade Efficiency Simulator
Simulate energy flow through nested Matrioshka brain shells to determine viable layer count and total system efficiency. Each shell operates as a Carnot-limited heat engine, extracting useful work from the temperature gradient before passing waste heat outward.
Cascade Parameters
Temperature Profile
Single Cascade Mode
Simulates a 4-shell (3-stage) cascade from 1200 K to 40 K with 35% TPV efficiency.
System Physics
Energy Cascade Waterfall
Run a simulation to see the energy cascade waterfall chart
Simulation Results
Configure the cascade parameters and run the simulation to see results.
Research Question Addressed
RQ-3a-1
Thermodynamic cascade efficiency limits: What is the maximum achievable energy extraction efficiency for a nested Matrioshka brain shell architecture, considering Carnot limits, TPV conversion losses, spectral selectivity, and radiator area constraints?
Physics Model
Temperature Spacing
Shell temperatures are log-spaced between T_inner and T_outer, producing geometric progression that maximizes Carnot efficiency per stage.
Energy Extraction
Each shell extracts power limited by Carnot efficiency, reduced by TPV conversion and spectral selectivity losses.
Radiator Scaling
Radiator area scales as P / (sigma * T^4). Cold outer shells require enormously larger radiators due to T^4 dependence.
Monte Carlo Variation
Stochastic parameters: TPV efficiency (+/-15%), spectral selectivity (+/-5%), inter-shell thermal leakage (+/-10%).
This simulator investigates RQ-3a-1: Thermodynamic cascade efficiency limits
View Thermal Management BOM Item