# Mode-coupling glass transition in a fluid confined by a periodic potential.

@article{Nandi2011ModecouplingGT, title={Mode-coupling glass transition in a fluid confined by a periodic potential.}, author={Saroj Kumar Nandi and Sarika Maitra Bhattacharyya and Sriram Ramaswamy}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2011}, volume={84 6 Pt 1}, pages={ 061501 } }

We show that a fluid under strong spatially periodic confinement displays a glass transition within mode-coupling theory at a much lower density than the corresponding bulk system. We use fluctuating hydrodynamics, with confinement imposed through a periodic potential whose wavelength plays an important role in our treatment. To make the calculation tractable we implement a detailed calculation in one dimension. Although we do not expect simple 1d fluids to show a glass transition, our results…

## 6 Citations

Mode-coupling theory of the glass transition for confined fluids.

- Mathematics, PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2012

This work presents a detailed derivation of a microscopic theory for the glass transition of a liquid enclosed between two parallel walls relying on a mode-coupling approximation and proves that the equations for the nonergodicity parameters still display a covariance property similar to bulk liquids.

How do glassy domains grow?

- Physics, MedicinePhysical review letters
- 2012

The aging is not "simple": the t(w) dependence cannot be attributed to an evolving effective temperature, and the coarsening of the three-point correlator χ(3)(t,t(w)) as a function of waiting time t( w).

Tagged-particle motion in quasi-confined colloidal hard-sphere liquids

- Physics
- 2021

We investigate the tagged-particle motion in a strongly interacting quasi-confined liquid using periodic boundary conditions along the confining direction. Within a mode-coupling theory of the glass…

Role of density modulation in the spatially resolved dynamics of strongly confined liquids.

- Chemistry, MedicineThe Journal of chemical physics
- 2016

This work examines the effects of the density modulation on the spatially resolved dynamics of a liquid confined between two parallel walls using a resolution of a fraction of the interparticle distance in the liquid, and finds that this local relaxation time varies in phase with thedensity modulation.

Active topological glass

- Medicine, Materials ScienceNature Communications
- 2020

It is shown that in dense solutions of circular polymers containing (active) segments of increased mobility, the interplay of the activity and the topology of the polymers generates an unprecedented glassy state of matter, namely active topological glass.

Activity-dependent self-regulation of viscous length scales in biological systems.

- Physics, MedicinePhysical review. E
- 2018

A general theory of how a living system can actively self-regulate its hydrodynamic length scale, controlling the rigidity of the system is developed and it is found that ℓ, as a function of activity, behaves universally and roughly inversely proportional to the activity of theSystem.

## References

SHOWING 1-10 OF 88 REFERENCES

Glass transition in confined geometry.

- Physics, MedicinePhysical review letters
- 2010

This work evaluates the phase diagram as a function of the distance of the plates for the case of a hard sphere fluid and obtains an oscillatory behavior of the glass transition line as a result of the structural changes related to layering.

Mode-coupling theory for the slow collective dynamics of fluids adsorbed in disordered porous media.

- Mathematics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2007

A reentry phenomenon is predicted in the low fluid-high matrix density regime and is interpreted as the signature of a de-correlation mechanism by fluid-fluid collisions competing with the localization effect of the solid matrix.

Tagged-particle dynamics in a fluid adsorbed in a disordered porous solid: interplay between the diffusion-localization and liquid-glass transitions.

- Physics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

A mode-coupling theory for the slow single-particle dynamics in fluids adsorbed in disordered porous media is derived, which complements previous work on the collective dynamics [V. Krakoviack, Phys.…

Mode-coupling theory and the glass transition in supercooled liquids

- Physics
- 2004

Mode-coupling theory is an approach to the study of complex behavior in the supercooled liquids which developed from the idea of a nonlinear feedback mechanism. From the coupling of slowly decaying…

The relaxation dynamics of a supercooled liquid confined by rough walls

- Physics, Chemistry
- 2003

We present the results of molecular dynamics computer simulations of a binary Lennard-Jones liquid confined between two parallel rough walls. These walls are realized by frozen amorphous…

Stability of a supercooled liquid to periodic density waves and dynamics of freezing

- Physics
- 1987

We present a theoretical analysis of the dynamic stability of a supercooled simple liquid to finite amplitude, periodic, density waves. The analysis is based on a nonlinear diffusion equation (NLDE)…

Perspectives on the mode-coupling approximation for the dynamics of interacting Brownian particles

- Physics
- 2007

We analyse the field theory for the dissipative dynamics of interacting inertialess particles, using a dynamic density-wave model (Bagchi 1987Physica A 145 273), including thermal fluctuations (Dean…

Dynamical van der Waals Model of Glassy Behavior

- Physics
- 2003

A model fluid system whose intermolecular forces consist of the short range part characterizing usual stable fluid and the long range part of Kac-type is considered. When the ratio of the force…

Inhomogeneous mode-coupling theory and growing dynamic length in supercooled liquids.

- Physics, MedicinePhysical review letters
- 2006

The response of the dynamical structure factor to a static inhomogeneous external potential is computed and the first direct evidence that the standard formulation of MCT is associated with a diverging length scale is provided.

Structure and Shear Response in Nanometer-Thick Films

- Chemistry, Mathematics
- 1995

Simulations of the structure and dynamics of fluid films confined to a thickness of a few molecular diameters are described. Confining walls introduce layering and in-plane order in the adjacent…