Soft matter physics – colloidal science

1. introduction

I will give a brief introduction to soft matter, then focus on one important class of soft material – colloid, including their interactions, phase behaviors, structures, dynamics transport and rheological properties. Experimental techniques about colloids will be discussed.

2. configurational temperature

Temperature reflects how strong the molecular motions are. Without knowing how fast the particles move, the thermodynamic temperature can still be calculated form their static configurations. This configurational temperature proposed in 1998 was confirmed in experiment for the first time in our colloid system. We generalized the configurational temperature to an infinite series of hyperconfigurational temperature and their applications will be discussed.

3. Brownian motions

I will talk about the history of Brownian motion and the recent research on this topic, including our experiment about the Brownian motion of a single ellipsoid. The translation-rotation coupling and the non-Gaussian displacement distribution will be discussed.

4. pattern formation

Colloids under electric fields can self-assemble into a richset of patterns. Some of them are analogous to the Rayleigh-Benard convection, and some of them can be explained by the charge-injection effect.

5. colloidal crystal melting

Despite a long history of study on crystal melting, there are still many open questions yet to be answer. Colloids have been used as outstanding model systems for thestudy of phase transitions because the trajectories of individual particles can be measured under microscope. We use diameter-tunable microgel colloidal spheres to study the melting of colloidal crystal in three dimensions, two dimensions and thin films. Nucleation kinetics and nucleation precursor in 3D, hexatic phase in 2D, superheated crystal, defects and boundary effects will be discussed.

6. solid-solid transitions

Solid-solid transitions widely exist in nature, but their microscopic mechanism is poorly understood because it is difficult in theory, simulation and experiment. We performed the first experiment on nucleation during solid-solid transitions with single-particle dynamics by using colloids anddiscovered two types of novel nucleation processes.

7. glass transitions

The nature of glass transition is one of the major challenge is physics. When a liquid is supercooled towards the glass transition, dynamics drastically slows down and becomes progressively more heterogeneous, while the static structure changes little. Finding a relationship between the dynamics and static structural properties is a long-standing challenge. We report the first experiment about colloidal glass composed of non-spherical particles and twostructural signatures of dynamic heterogeneities. The phase behavior of ellipsoids will be discussed.

8. geometrical frustration

We use colloidal spheres to mimic Ising spins on a triangular lattice and achieved the first geometrically frustrated system with single-‘spin’ dynamics. It connects the two research fields of soft matter and magnetism.

9. phase-space network (statistical mechanics/math)

Phase space is a key concept in statistical physics, but often too large and complicated to be exactly constructedand measured.We propose to use complex-network analysis to understand phase spaces of some systems with discrete degree of freedom. The phase-space networks of somespin systems and lattice gases share some common features and establish a new class of complex networks that have different topology compared with all the previously known networks.Aninteresting mathematical by-productis the one-to-one mapping between the 2D jigsaw-puzzle tiling and 3D sphere stacking. This mapping casts new light on some combinatorial problems.