165 research outputs found
Core-shell structures in single flexible-semiflexible block copolymers: Finding the free energy minimum for the folding transition
We investigate the folding transition of a single diblock copolymer
consisting of a semiflexible and a flexible block. We obtain a {\it
Saturn-shaped} core-shell conformation in the folded state, in which the
flexible block forms a core and the semiflexible block wraps around it. We
demonstrate two distinctive features of the core-shell structures: (i) The
kinetics of the folding transition in the copolymer are significantly more
efficient than those of a semiflexible homopolymer. (ii) The core-shell
structure does not depend on the transition pathway
Collapse or Swelling Dynamics of Homopolymer Rings: Self-consistent Hartree approach
We investigate by the use of the Martin - Siggia - Rose generating functional
technique and the self - consistent Hartree approximation, the dynamics of the
ring homopolymer collapse (swelling) following an instantaneous change into a
poor (good) solvent conditions.The equation of motion for the time dependent
monomer - to - monomer correlation function is systematically derived. It is
argued that for describing of the coarse - graining process (which neglects the
capillary instability and the coalescence of ``pearls'') the Rouse mode
representation is very helpful, so that the resulting equations of motion can
be simply solved numerically. In the case of the collapse this solution is
analyzed in the framework of the hierarchically crumpled fractal picture, with
crumples of successively growing scale along the chain. The presented numerical
results are in line with the corresponding simple scaling argumentation which
in particular shows that the characteristic collapse time of a segment of
length scales as (where is a bare
friction coefficient and is a depth of quench). In contrast to the
collapse the globule swelling can be seen (in the case that topological effects
are neglected) as a homogeneous expansion of the globule interior. The swelling
of each Rouse mode as well as gyration radius is discussed.Comment: 20 pages, 7 figures, submitted to Phys. Rev.
Bouncing or sticky droplets: impalement transitions on superhydrophobic micropatterned surfaces
When a liquid drops impinges a hydrophobic rough surface it can either bounce
off the surface (fakir droplets) or be impaled and strongly stuck on it (Wenzel
droplets). The analysis of drop impact and quasi static ''loading'' experiments
on model microfabricated surfaces allows to clearly identify the forces
hindering the impalement transitions. A simple semi-quantitative model is
proposed to account for the observed relation between the surface topography
and the robustness of fakir non-wetting states. Motivated by potential
applications in microfluidics and in the fabrication of self cleaning surfaces,
we finally propose some guidelines to design robust superhydrophobic surfaces.Comment: 7 pages, 5 figure
Adhesion of soft objects on wet substrates
International audienceWe study the dynamics of contact of a soft object (rubber bead, soft shell, vesicles, living cells) on a wet substrate by removal of the intercalated liquid film. The profiles of the contact zone are observed by reflection interference contrast microscopy. The adhesion forces (either hydrophobic, electrostatic or specific) are measured by micropipettes, flow cells or `microkarcher' techniques. For vesicles, the adhesion induces a tension of the membrane, which relaxes by the formation of transient macroscopic pores. We study the dynamics of opening and closing of pores
Collapse Dynamics of a Homopolymer: Theory and Simulation
We present a scaling theory describing the collapse of a homopolymer chain in
poor solvent. At time t after the beginning of the collapse, the original
Gaussian chain of length N is streamlined to form N/g segments of length R(t),
each containing g ~ t monomers. These segments are statistical quantities
representing cylinders of length R ~ t^{1/2} and diameter d ~ t^{1/4}, but
structured out of stretched arrays of spherical globules. This prescription
incorporates the capillary instability. We compare the time-dependent structure
factor derived for our theory with that obtained from ultra-large-scale
molecular dynamics simulation with explicit solvent. This is the first time
such a detailed comparison of theoretical and simulation predictions of
collapsing chain structure has been attempted. The favorable agreement between
the theoretical and computed structure factors supports the picture of the
coarse-graining process during polymer collapse.Comment: 4 pages, 3 figure
Un substrat de micropiliers pour Ă©tudier la migration cellulaire
Les propriĂ©tĂ©s mĂ©caniques des cellules jouent un rĂŽle prĂ©pondĂ©rant dans de nombreux Ă©vĂ©nements de la vie cellulaire comme le dĂ©veloppement embryonnaire, la formation des tissus ou encore le dĂ©veloppement des mĂ©tastases. La migration cellulaire est en partie caractĂ©risĂ©e par des interactions mĂ©caniques. Ainsi, les forces de traction quâexercent les cellules sur leur environnement impliquent, en parallĂšle, une rĂ©organisation dynamique des processus dâadhĂ©rence et du cytosquelette interne de la cellule. Pour Ă©valuer ces forces, un substrat a Ă©tĂ© dĂ©veloppĂ©, constituĂ© dâun rĂ©seau forte densitĂ© de micro-piliers dĂ©formables sur lequel se dĂ©placent les cellules. Cette surface est fabriquĂ©e par des mĂ©thodes de lithographie empruntĂ©es Ă la micro-Ă©lectronique. Les piliers mesurent environ un micromĂštre et sont en caoutchouc, donc suffisamment dĂ©formables pour flĂ©chir sous lâeffet des forces exercĂ©es par les cellules. Lâanalyse au microscope des dĂ©flexions individuelles de chaque pilier a permis de quantifier en temps rĂ©el les forces locales que des cellules exercent sur leur substrat lors de leurs processus dâadhĂ©rence et de dissociation.Mechanical forces play an important role in various cellular functions, such as tumor metastasis, embryonic development or tissue formation. Cell migration involves dynamics of adhesive processes and cytoskeleton remodelling, leading to traction forces between the cells and their surrounding extracellular medium. To study these mechanical forces, a number of methods have been developed to calculate tractions at the interface between the cell and the substrate by tracking the displacements of beads or microfabricated markers embedded in continuous deformable gels. These studies have provided the first reliable estimation of the traction forces under individual migrating cells. We have developed a new force sensor made of a dense array of soft micron-size pillars microfabricated using microelectronics techniques. This approach uses elastomeric substrates that are micropatterned by using a combination of hard and soft lithography. Traction forces are determined in real time by analyzing the deflections of each micropillar with an optical microscope. Indeed, the deflection is directly proportional to the force in the linear regime of small deformations. Epithelial cells are cultured on our substrates coated with extracellular matrix protein. First, we have characterized temporal and spatial distributions of traction forces of a cellular assembly. Forces are found to depend on their relative position in the monolayer : the strongest deformations are always localized at the edge of the islands of cells in the active areas of cell protrusions. Consequently, these forces are quantified and correlated with the adhesion/scattering processes of the cells
How long does it take to pull an ideal polymer into a small hole?
We present scaling estimates for characteristic times and
of pulling ideal linear and randomly branched polymers of
monomers into a small hole by a force . We show that the absorbtion process
develops as sequential straightening of folds of the initial polymer
configuration. By estimating the typical size of the fold involved into the
motion, we arrive at the following predictions: and , and we also confirm them by
the molecular dynamics experiment.Comment: 4 pages, 3 figure
Gravitational oscillations of a liquid column
We report gravity oscillations of a liquid column partially immersed in a
bath of liquid. We stress in particular some peculiarities of this system,
namely (i) the fact that the mass of this oscillator constantly changes with
time; (ii) the singular character of the beginning of the rise, for which the
mass of the oscillator is zero; (iii) the sources of dissipation in this
system, which is found to be dominated at low viscosity by the entrance (or
exit) effects, leading to a long-range damping of the oscillations. We conclude
with some qualitative description of a second-order phenomenon, namely the
eruption of a jet at the beginning of the rise.Comment: 22 pages, pdf. Submitted to Physics of Fluid
Glassy behavior of a homopolymer from molecular dynamics simulations
We study at- and out-of-equilibrium dynamics of a single homopolymer chain at
low temperature using molecular dynamics simulations. The main quantities of
interest are the average root mean square displacement of the monomers below
the theta point, and the structure factor, as a function of time. The
observation of these quantities show a close resemblance to those measured in
structural glasses and suggest that the polymer chain in its low temperature
phase is in a glassy phase, with its dynamics dominated by traps. In
equilibrium, at low temperature, we observe the trapping of the monomers and a
slowing down of the overall motion of the polymer as well as non-exponential
relaxation of the structure factor. In out-of-equilibrium, at low temperatures,
we compute the two-time quantities and observe breaking of ergodicity in a
range of waiting times, with the onset of aging.Comment: 11 pages, 4 figure
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