yulia sokolov, derek frydel, haim diamant and yael roichman · 2015. 9. 16. · 16 2 1 cos i []ij...
TRANSCRIPT
Yulia sokolov, Derek Frydel, Haim Diamant and Yael Roichman
F I I
Radiation pressure
Gradientforce
Phasegradient
Dipole in electromagnetic field
Radiation pressure
SLM
objective
L=6
• R~L• Trot~L
2
objective
laser
Non-equilibrium, hydrodynamic interactionphonons, single file diffusion
1 3cos3 11
16 2 1 cos[ ]iji
ij
a
K R
,3sin3
16 2 1 cos[ ]i j
ij
iV a
K
The model:
•Paired particles with “pair” mobility.•Equidistanced.•Collective mode.•Stokeslet approximation.
1 2
2
1
8ij ij
r rG
r r
( 4)4
1
( 2)4
1
11 ( )
8 2 2
1 ( )8 2
1 3cos( )( )
1 cos( )
4
12
12
N
n
N
n
QrK nx
R
QrK nx
R
nxK nx
nx
xN
NevenQ r
collective mobility
NoddQ r
Fitting parameter
6 r
Drag of a single sphere in fluid
Q r
Drag of coupled spheres in fluid
Q
da
ParticlesBrownianicHydrodynam FFFdt
dvm
Yulia sokolov, Derek frydel, Haim Diamant and Yael Roichman, in preparation.
θ
I – one particle diffusion α=1II - caging effect, subdiffusion 0.5<α<1III - collective diffusion α=1
Hydrodynamic Interactions give rise to a pseudo-potential in this out-of-equilibrium system, whichresult in particle pairing.
For an even number of particles there exists a mode inwhich particles rotate as a “crystal”. Is the systemminimizing dissipation while maximizing stability?
Single file diffusion exists in driven systems. We seethe crossover to collective diffusion in this smallsystem.