Pattern formation outside of equilibrium

Non-equilibrium Ordering Dynamics and Pattern Formation

Hydrodynamics and Fluctuations Outside of Local Equilibrium :

We derive hydrodynamic equations for systems not in local thermodynamic equilibrium, that is, where the local stationary measures are \non-Gibbsian" and do not satisfy detailed balance with respect to the microscopic dynamics. As a main example we consider the driven di usive systems(DDS), such as electrical conductors in an applied eld with di usion of charge carriers. In such systems, the hyd...

Pattern Formation in Biological Systems Far from Equilibrium State

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Investigation of the Hydrate Formation Equilibrium Conditions of Natural Gas

One of the main problems in oil recovery via the gas injection is the formation of hydrates in thelines. In order to prevent the formation of hydrate in these lines, which leads to the blockage andsometimes explosion, at first, the equilibrium formation conditions must be determined and then toprevent its formation by changing the thermodynamic conditions or by adding the inhibitors. In thisres...

Turing pattern outside of the Turing domain

There are two simple solutions to reaction-diffusion systems with limit-cycle reaction kinetics, producing oscillatory behaviour. The reaction parameter mu gives rise to a 'space-invariant' solution, and mu versus the ratio of the diffusion coefficients gives rise to a 'time-invariant' solution. We consider the case where both solution types may be possible. This leads to a refinement of the Tu...