# Recent advances in the evolution of interfaces: thermodynamics, upscaling, and universality

@article{Schmuck2018RecentAI, title={Recent advances in the evolution of interfaces: thermodynamics, upscaling, and universality}, author={M. Schmuck and G. Pavliotis and S. Kalliadasis}, journal={arXiv: Computational Physics}, year={2018} }

We consider the evolution of interfaces in binary mixtures permeating strongly heterogeneous systems such as porous media. To this end, we first review available thermodynamic formulations for binary mixtures based on \emph{general reversible-irreversible couplings} and the associated mathematical attempts to formulate a \emph{non-equilibrium variational principle} in which these non-equilibrium couplings can be identified as minimizers.
Based on this, we investigate two microscopic binary… CONTINUE READING

2 Citations

Basic and extendable framework for effective charge transport in electrochemical systems

- Physics, Computer Science
- 2019

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 92 REFERENCES

Derivation of effective macroscopic Stokes-Cahn-Hilliard equations for periodic immiscible flows in porous media

- Physics, Mathematics
- 2013

28

Derivation of effective macroscopic Stokes-Cahn-Hilliard equations for periodic immiscible flows in porous media

- Physics, Mathematics
- 2013

28

Computational investigation of porous media phase field formulations: Microscopic, effective macroscopic, and Langevin equations

- Computer Science, Mathematics
- 2017

4

Computational investigation of porous media phase field formulations: Microscopic, effective macroscopic, and Langevin equations

- Computer Science, Mathematics
- 2017

4

Rate of Convergence of General Phase Field Equations in Strongly Heterogeneous Media Toward Their Homogenized Limit

- Physics, Mathematics
- 2017

5

Thermodynamically Consistent, Frame Indifferent Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities

- Mathematics, Physics
- 2011

214

Thermodynamically Consistent, Frame Indifferent Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities

- Mathematics, Physics
- 2011

214