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A Monte Carlo Method for Stationary Solutions of General-Relativistic Vlasov Systems

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Overview

Watch a physics colloquium lecture exploring a Monte Carlo computational method for solving stationary solutions of general-relativistic Vlasov equations that model non-colliding particle systems. Delve into the three key components of this approach: parameter selection for individual particle trajectories based on distribution function properties, solving geodesic equations for selected parameter samples, and implementing coarse-graining schemes to approximate observable quantities like particle current density and energy momentum tensor. Examine specific challenges in parameter selection and coarse-graining through examples of stationary accretion models in Schwarzschild spacetime, concluding with an application to collisionless gas accretion onto moving black holes. Presented by Professor Patryk Mach from the Institute of Theoretical Physics at Jagiellonian University as part of the Warsaw colloquium for theoretical physics at CTP PAS.

Syllabus

Patryk Mach: A Monte Carlo method for stationary solutions of general-relativistic Vlasov systems

Taught by

Centrum Fizyki Teoretycznej PAN

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