Reaction-Diffusion System in a Vesicle with Semi-Permeable Membrane
Hidetsugu Sakaguchi
Abstract
We study the Schloegl model in a vesicle with semi-permeable membrane. The diffusion constant takes a smaller value in the membrane region, which prevents the outflow of self-catalytic product. A nonequilibrium state is stably maintained inside of the vesicle. Nutrients are absorbed and waste materials are exhausted through the membrane by diffusion. It is interpreted as a model of primitive metabolism in a cell.
Create a lesson
Related papers
Long-time Dynamics of Many-body Open Quantum Systems using Quantum Generating Functions
Katha Ganguly, Dario Poletti, Bijay Kumar Agarwalla
Localization Delocalization Transition in Diffusion with Adaptive Resetting
Tommer D. Keidar, Shlomi Reuveni
Quenched activity induces nonuniversal scaling in nonreciprocal XY Models and surfaces
Sudip Mukherjee, Abhik Basu
Brownian yet non-Gaussian diffusion through equilibrium nonlinear friction
Jakob Mihatsch, Andreas M. Menzel
When dissipative steady states admit thermodynamic occupation laws
Tetsu Ichitsubo
Fluctuation--response relations from an emergent Z2 symmetry in the rotating stochastic Landau model
Dhruv Kush, Nicki Mullins, Mauricio Hippert et al.