34 citations · 53 across the 4 of their papers we have counts for
4 papers
Transparent Boundary Conditions for the Heat Equation on Metric Graphs
Jasur Matrasulov, Jambul Yusupov, Matthias Ehrhardt
We study transparent boundary conditions (TBCs) for the time-dependent heat equation in a branching, quasi-one-dimensional domain modeled as a metric star graph. By combining the c…
Fokker-Planck equation on metric graphs
Jasur Matrasulov, Karimjon Sabirov
We consider the Fokker-Planck equation on metric graphs. Vertex boundary conditions are imposed in the form of weight continuity and the probability current conservation. Exact sol…
Fast forward approach to stochastic heat engine
Katsuhiro Nakamura, Jasur Matrasulov, Yuki Izumida
The fast-forward (FF) scheme proposed by Masuda and Nakamura (\textit{Proc. R. Soc. A} \textbf{466}, 1135 (2010)) in the context of conservative quantum dynamics can reproduce a qu…
Quantum gas in the fast forward scheme of adiabatically expanding cavities: Force and equation of states
Gulmira Babajanova, Jasur Matrasulov, Katsuhiro Nakamura
With use of the scheme of fast forward which realizes quasi-static or adiabatic dynamics in shortened time scale, we investigate a thermally-isolated ideal quantum gas confined in…