| Authors: |
J. Vollmer
and F. Dettenrieder
and D. Vollmer
and G.K. Auernhammer
|
| Editors: |
Luciano Pietronero
and Vittorio Loreto
and Stefano Zapperi
|
| URL: |
http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=943 |
| Tags: |
convection
cycle
diffusion
limit
nonlinear
phase
separation
statphys23
topic-4
|
| Abstract: |
The thermodynamic equilibrium of fluid mixtures and their isothermal
relaxation to equilibrium after a rapid temperature quench are well
understood due to extensive experimental, numerical and theoretical
studies in the past decades. In many technological and natural
processes one is however confronted with phase-separating systems
where the temperature is slowly drifting. In this case it is of
interest to follow the evolution of the (local) composition also while
the temperature is evolving. A simple estimate shows that even for
very small drift the composition cannot quasi-statically (in the sense
of local thermodynamic equilibrium) follow the change of
temperature. The temporal evolution of the composition consequently
becomes a problem of pattern formation: For small temperature drift
convection arises, and a large drift induces repeated waves of
precipitation.
We derive a phase diagram accounting for the cross-over between the
quasi-static, convective and oscillatory regimes, and present a
minimal theoretical model addressing the parameter dependence of the
oscillations. The latter agrees well with recent experimental data.
References:\\
Auernhammer, D. Vollmer, J. Vollmer, J. Chem. Phys. 123, 134511 (2005).\\
J. Vollmer, Auernhammer, D. Vollmer, Phys. Rev. Lett. 98, 115701 (2007). |
@incollection{statphys23_0943,
title = {Instabilities and pattern formation in phase-separating fluids},
address = {Genova, Italy},
author = {J. Vollmer and F. Dettenrieder and D. Vollmer and G.K. Auernhammer},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Luciano Pietronero and Vittorio Loreto and Stefano Zapperi},
month = {9-13 July},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=943},
year = {2007},
abstract = {The thermodynamic equilibrium of fluid mixtures and their isothermal
relaxation to equilibrium after a rapid temperature quench are well
understood due to extensive experimental, numerical and theoretical
studies in the past decades. In many technological and natural
processes one is however confronted with phase-separating systems
where the temperature is slowly drifting. In this case it is of
interest to follow the evolution of the (local) composition also while
the temperature is evolving. A simple estimate shows that even for
very small drift the composition cannot quasi-statically (in the sense
of local thermodynamic equilibrium) follow the change of
temperature. The temporal evolution of the composition consequently
becomes a problem of pattern formation: For small temperature drift
convection arises, and a large drift induces repeated waves of
precipitation.
We derive a phase diagram accounting for the cross-over between the
quasi-static, convective and oscillatory regimes, and present a
minimal theoretical model addressing the parameter dependence of the
oscillations. The latter agrees well with recent experimental data.
References:\\
Auernhammer, D. Vollmer, J. Vollmer, J. Chem. Phys. 123, 134511 (2005).\\
J. Vollmer, Auernhammer, D. Vollmer, Phys. Rev. Lett. 98, 115701 (2007).},
keywords = {convection cycle diffusion limit nonlinear phase separation statphys23 topic-4 }
}
::