reptation

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Mesoscopic formulation of reptation

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Definitions (3)

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  1. The act of creeping or crawling on the belly, as a reptile does. Owen.
  2. In mathematics, the motion of one plane figure around another, so as constantly to be tangent to the latter while preserving parallelism between different positions of its own lines; especially, such a motion of one figure round another precisely like it so that the longest diameter of one shall come into line with the shortest of the other. This motion was applied by John Bernoulli in 1705 to the rectification of curves. Let AB he a curve whose length is required; let this be reversed about its normal, giving the curve ABC, and let this be reversed about the line between its extremities, giving the spindle-shaped figure ABCD; let DEFG be a similar and equal figure turned through a right angle—then, if the first has a reptatory motion about the second, its center will describe a four-humped or quadrigibbous figure OPQRSTUV, with humps at P, R, T, V. Let this be placed in contact with a similar and equal figure so that a maximum and minimum diameter shall coincide, and receive a reptatory motion, then its center will describe an octogibbous or eight-humped figure. By a similar process, this will describe a sixteen-humped figure, etc. Each of these figures will have double the periphery of the preceding, and they will rapidly approximate toward circles. Hence, by finding the diameters of each, we approximate to the length of the original curve.

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Examples (6)

  • Established players can use their reptation and existing customers to ceate the initial buzz. —  GamePolitics News
  • Mesoscopic formulation of reptation —  CiteULike: Everyone's library
  • 7-dehydrocholesterol 7dhc abc abf ab-initio actin adhesion adsorption agining alamethicin alchohol alcohol aluminum alzheimers amber amp amyloid anesthesia anionic antennapedia antibiotics apo-a1 apo-b apoptosis aquaporin area arganine artifacts asters bacteria bacterial bacteriorhodopsin bam barostat berykkium bibtex-import bilayers biomechanics biosensors block block-copolymers blue-moon boundary brownian-dynamics brownian-motion brushes bubbles cacl calcium cancer caox capillarity cardiolipin cationic cationic-lipids cdima cdw cell-division cellular-automata ceramides channels chapman-enskog charge charged charge-density-wave charmm cholester cholesterol cholesteryl chromatin cima clathrate clathrates coarse-graining coatings cold cold-denaturation collapse colloids combustion commensurability complex-fluids composites comt condensation confinement copolymers correlations coulomb counterion critical-phenenomena crumpling crystallization crystals ctab ctabr ctac ctacl curvature cyclodextrin cytochrome cytoskeleton d20 dchol debye-huckel defects delta delta-function denaturation dendrimers dendrites dendritic density-functional dep designability desmosterol detergents dewetting dha dielectrics dielectrophoresis differential-operators diffusion diffusion-ions diffusion-proton diffusion-protons disaccharides diseases dislocations disordered-systems dissociation dlpc dlpe dlvo dmpc dmpe dmpg dmsa dmso dmtap dna docking domain domains dopc dope dopg dotap double-bond doxorubicin dpc dpd dppc dppe dpps dptap drug-delivery drug-design dspc dssp dtab dynamical-systems dynamics earthquakes eckhaus ecoli egf elasticity electrokinetcs electrokinetics electrolytes electro-osmosis electrophoresis electrorheology electrorotation electrostatics electrostatics-membranes emulsions energies energy enzymes epc epicholesterol ergosterol espresso ethanol eukaryotes ewald ewald-summation factor fast fem fene ferrofluids fftw ffw fibers fibrous-materials field fields file-import-08-09-16 file-import-08-10-02 file-import-08-10-07 file-import-08-10-15 films fission fitting flip-flop flow flowers fluctuations fluid fluid-dynamics fluids fluorescence flux-lines fmm foams fokker-planck folding force force-field force-fields forces force-spectroscopy forest-fire formation fortran fourier-transform fractals fracture free free-energy frenkel-kontorova friction ftsz fucidic function functional-surfaces fusidine fusion gating gauge gel gels generic gibbs-bogoliubov ginzburg-landau glases glasses glut glyc glyco glycolipids gouy-chapman graded graded-materials grain-boundary gramicidin granular graphite gravitation green-kubo grinfeld gromacs growth grvitation gut guv h-bonds hdl hemolysin henderson heparan heparin hexadecane histones history hofmeister hopping hydration hydrodynamics hydrophobic hydrophobicty hydrophobines hydroxyapatite imc implants implicit-solvent infotech inhibitors instabilities instability integration integrators integrators-dpd integro-differential interfaces invariance ion-channel ionization ions jarzynski kcsa ketosterol kinesin kmc kosterlitz-thouless kpz lab-on-a-chip lamellar lammps langevin langevin-thermostat lanosterol laplacian lateral lateral-pressure lattice lattice-boltzmann layer ldl lecture-notes legendre lekner length lengyel-epstein lennard-jones ligands light-induced lincs lipid lipid-isomers lipids lipoprotein lipoproteins liposome liposomes liquid liquid-crystals lj-phase long lubrication lumped-mass lung-surfactant madelung magnesium magnetic magnetoelectric magnetorheology maltose map marangoni maria markoff-processes martini materials matter mb-model md mds mdynamix mechanosensing melting melts membrane-gel membrane-proteins membranes meso methanol mg micelle micelles microfludics mineralization min-oscillations mitochondria mixed mixture model molecular molecular-dynamics molecular-medicine molecular-simulation monoayers monolayers monte-carlo mori-zwanzig motors mrk-diff mrks-diff mscl mullins-sekerka multigrid multiple multiple-time-step multipole multivalent myosin nabr nacl nalp namd namd2 nanoparticles nanopor nanopores nanotech nanotubes nanowires neg-cv nemd networks neural-nets nmr non-hamiltonian non-ionic nopdf nose-hoover nucleation odlro of oil omp ompf onions onsager-machlup opls osteoarthritis osteopontin ostwald overcharging p3m packing pah pamam paper parallel-tempering parameters partitioning pattern pattern-formation pc pca pe peach-koehler peg pegylated peierls penetratin peo pepg pept1 peptide peptides percolation periodic permeation persistence persistence-length peth pfc phase phase-diagram phase-field phase-separation phase-sl phase-slip phd-thesis phoe phosphatidylethanol phospholipid phospholipids photoswitches pinning plant plasmonicsw plasticity plotting pme pmf pna poisson-boltzmann polarizability poleyelectrolytes polyargenine polydispersity polyelectrolytes polymer polymer-brush polymers pop popc pope popg pops pores predator-pray pressure pressure-profile prodrg proline prosthetic protein proteins protrusions proylyloligopeptidase pulling py pyrene python qm-mm rafts random-resistor-networks range rayleigh rayleigh-isntability reaction-diffusion reaction-field receptors renormalization reptation resp review rhodopsin ripening rna rodlike rot rotaball roughening rouse rupture s1-specificity salt sans saponins sav1866 saxs scaling sdbil sdbt sds sdw seaweed sedimentation self-assembly self-gravitation self-organization self-organized-criticality sensors separation sewaeed sglt shadow-hamiltonian shake shear shs signaling simulation sine-gordon sirna slab soc sodium soft solidification solubilization solvation som son sopc sos spc spc-e specle sph sphimngomyelin sphingolipids sphingomyelin sphingosine spin-labels spinodal-decomposition spiral-waves srd stability stencils step stern sterols stokeslets structure superconductivity superfluidity supported-bilaters surface surface-active surfaces surfactants swift-hohenberg symplectic systems systems-biology tat tayloro-couette tension thermodynamics thermostat thiols tilt time tip3p tip4p topological topology toxin transduction transition transitions translocation trans-membrane transportan transporter transport-pore trehalose troblocks trotter tryptophan tubulin turbomole turbulence turing tutring tweezers twin-range van-der-waals vesicles viscosity voids volcanos voronoi vortex wang-landau water wetting whatif xenon x-ray xy-model zinc CiteULike organises scholarly (or academic) papers or literature and provides bibliographic (which means it makes bibliographies) for universities and higher education establishments. —  CiteULike: Everyone's library
  • 7-dehydrocholesterol 7dhc abc abf ab-initio actin adhesion adsorption agining alamethicin alchohol alcohol aluminum alzheimers amber amp amyloid anesthesia anionic antennapedia antibiotics apo-a1 apo-b apoptosis aquaporin area arganine artifacts asters bacteria bacterial bacteriorhodopsin bam barostat berykkium bibtex-import bilayers biomechanics biosensors block block-copolymers blue-moon boundary brownian-dynamics brownian-motion brushes bubbles cacl calcium cancer caox capillarity cardiolipin cationic cationic-lipids cdima cdw cell-division cellular-automata ceramides channels chapman-enskog charge charged charge-density-wave charmm cholester cholesterol cholesteryl chromatin cima clathrate clathrates coarse-graining coatings cold cold-denaturation collapse colloids combustion commensurability complex-fluids composites comt condensation confinement copolymers correlations coulomb counterion critical-phenenomena crumpling crystallization crystals ctab ctabr ctac ctacl curvature cyclodextrin cytochrome cytoskeleton d20 dchol debye-huckel defects delta delta-function denaturation dendrimers dendrites dendritic density-functional dep designability desmosterol detergents dewetting dha dielectrics dielectrophoresis differential-operators diffusion diffusion-ions diffusion-proton diffusion-protons disaccharides diseases dislocations disordered-systems dissociation dlpc dlpe dlvo dmpc dmpe dmpg dmsa dmso dmtap dna docking domain domains dopc dope dopg dotap double-bond doxorubicin dpc dpd dppc dppe dpps dptap drug-delivery drug-design dspc dssp dtab dynamical-systems dynamics earthquakes eckhaus ecoli egf elasticity electrokinetcs electrokinetics electrolytes electro-osmosis electrophoresis electrorheology electrorotation electrostatics electrostatics-membranes emulsions energies energy enzymes epc epicholesterol ergosterol espresso ethanol eukaryotes ewald ewald-summation factor fast fem fene ferrofluids fftw ffw fibers fibrous-materials field fields file-import-08-09-16 file-import-08-10-02 file-import-08-10-07 file-import-08-10-15 films fission fitting flip-flop flow flowers fluctuations fluid fluid-dynamics fluids fluorescence flux-lines fmm foams fokker-planck folding force force-field force-fields forces force-spectroscopy forest-fire formation fortran fourier-transform fractals fracture free free-energy frenkel-kontorova friction ftsz fucidic function functional-surfaces fusidine fusion galcer gating gauge gel gels generic gibbs-bogoliubov ginzburg-landau glases glasses glut glyc glyco glycolipids gouy-chapman graded graded-materials grain-boundary gramicidin granular graphite gravitation green-kubo grinfeld gromacs growth grvitation gut guv h-bonds hdl hemolysin henderson heparan heparin hexadecane histones history hofmeister hopping hydration hydrodynamics hydrophobic hydrophobicty hydrophobines hydroxyapatite imc implants implicit-solvent infotech inhibitors instabilities instability integration integrators integrators-dpd integro-differential interfaces invariance ion-channel ionization ions jarzynski kcsa ketosterol kinesin kmc kosterlitz-thouless kpz lab-on-a-chip lamellar lammps langevin langevin-thermostat lanosterol laplacian lateral lateral-pressure lattice lattice-boltzmann layer ldl lecture-notes legendre lekner length lengyel-epstein lennard-jones ligands light-induced lincs lipid lipid-isomers lipids lipoprotein lipoproteins liposome liposomes liquid liquid-crystals lj-phase long lubrication lumped-mass lung-surfactant madelung magnesium magnetic magnetoelectric magnetorheology maltose map marangoni maria markoff-processes martini materials matter mb-model md mds mdynamix mechanosensing melting melts membrane-gel membrane-proteins membranes meso methanol mg micelle micelles microfludics mineralization min-oscillations mitochondria mixed mixture model molecular molecular-dynamics molecular-medicine molecular-simulation monoayers monolayers monte-carlo mori-zwanzig motors mrk-diff mrks-diff mscl mullins-sekerka multigrid multiple multiple-time-step multipole multivalent myosin nabr nacl nalp namd namd2 nanoparticles nanopor nanopores nanotech nanotubes nanowires neg-cv nemd networks neural-nets nmr non-hamiltonian non-ionic nopdf nose-hoover nrm nucleation odlro of oil omp ompf onions onsager-machlup opls oppc order-parameter ospc osteoarthritis osteopontin ostwald overcharging p3m packing pah pamam paper parallel-tempering parameters partitioning pattern pattern-formation pc pca pe peach-koehler peg pegylated peierls penetratin peo pepg pept1 peptide peptides percolation periodic permeation persistence persistence-length peth pfc phase phase-diagram phase-field phase-separation phase-sl phase-slip phd-thesis phoe phosphatidylethanol phospholipid phospholipids photoswitches pinning plant plasmonicsw plasticity plotting pme pmf pna poisson-boltzmann polarizability poleyelectrolytes polyargenine polydispersity polyelectrolytes polymer polymer-brush polymers pop popc pope popg pops pores predator-pray pressure pressure-profile prodrg proline prosthetic protein proteins protrusions proylyloligopeptidase pulling py pyrene python qm-mm rafts random-resistor-networks range rayleigh rayleigh-isntability reaction-diffusion reaction-field receptors renormalization reptation resp review rhodopsin ripening rna rodlike rot rotaball roughening rouse rupture s1-specificity salt sans saponins saponinsn sav1866 saxs scaling sdbil sdbt sds sdw seaweed sedimentation self-assembly self-gravitation self-organization self-organized-criticality sensors separation sewaeed sglt shadow-hamiltonian shake shear shs signaling simulation sine-gordon sirna slab soc sodium soft solidification solubilization solvation som son sopc sos spc spc-e specle sph sphimngomyelin sphingolipids sphingomyelin sphingosine spin-labels spinodal-decomposition spiral-waves srd stability stencils step stern sterols stokeslets structure superconductivity superfluidity supported-bilaters surface surface-active surfaces surfactants swift-hohenberg symplectic systems systems-biology tat tayloro-couette tension thermodynamics thermostat thiols tilt time tip3p tip4p topological topology toxin transduction transition transitions translocation trans-membrane transportan transporter transport-pore trehalose troblocks trotter tryptophan tubulin turbomole turbulence turing tutring tweezers twin-range van-der-waals vesicles viscosity voids volcanos voronoi vortex wang-landau water wetting whatif xenon x-ray xy-model zinc CiteULike organises scholarly (or academic) papers or literature and provides bibliographic (which means it makes bibliographies) for universities and higher education establishments. —  CiteULike: Everyone's library
  • 0652 2d 3d ac actin adsorption afm alexander algorithm alkane alkanes alpha amorphous animal anisotropic annealing architecture array assembly asymmetric atom attraction autocorrelation barrier bayesian bd bead bending bfm bibtex-import binary biopolymer biphysics blend blends block book bp branch branched brownain brownian brush butene calculation carbon carlo catenane catenation catenenes cdte centrifugation chain chains challenges characteristics chemical classic cnt coarse coils colloids comb combs comparison compatibility complex composite concentrated concentration conductance conduction conductivity confined confinement conformations consistent constant constitutive constraint constraint-release constraints continuum contraction copolymer copolymers correlation creep creta cross-correlations crosslink crossover crystaf crystal crystalline crystallization crystals crytallization curved cyclic daoud82 dc deaet deformation dependent der detect dft diagnose diamond diblock dielectric dieletric diffraction diffusion dilation dilute dilution direct direction disentangled disentanglement dispersion distribution dna doe-edwards doi-edwards drag driving dsc dynamic dynamics edt elasticity elastomers electronics electrophoresis ellipsoids elongational end endless energy ensemble entangled entanglement entanglements entropic entropy enzyme epoxy equation equilibration equilibrium errata ethylene expanded exponent extended extension extensional f factor fast field filled films fixed flexible flow fluctuation fluids folded folding force fractionation fractions fragments free function functional gauss gel genetic geometric geometrical glass gn0 gr gradient grafted grain graphene graphite growth h heat heterogenous hierarchical high homopolymer hsmc hydrodynamic hydrophobic hydrophobicity information inhomogeneous instability intediffusion integral interaction interdiffusion interface inverse isobaric isothermal knot knots knotting lamella lammps langevin lattice lcb lcw length les light linear linears link linking lj local long lve macromolecules mapping mathcad mc md me mechanical mechanics melt melting melts mesoscale mesoscopic metallocene method micromechanical micromechanics microrheology microscopic minimal miscibility miscible mld mode model modeling models modern modified modulus molecular monte monte-carlo mori morphology motion mpe multiarm multiscale mwd mwe mwnt n-alkane nanocalorimetry nanocomposite nanocomposites nanofiber nanoparticle nanopore nanosheet nanotube naples ne nemc nemd network networks nonequilibrium non-equilibrium non-gaussian nonlinear normal np nucleation obstacles of organization original orthogonal oscillatory osmotic outstanding packing particle partition pasta path paths pattern pbd pe peg percolation persistence phase phenomenology photon physics pla plateau pluronic poe point polydisperse polydispersity polyethylene polyisoprene polymer polymers polyolefin polystyrene pom potential power-law ppa pre-crystalline pressure primitive prism probe problem problems properties property propylene protein proteins ps quadruplex quantitative radial random rate realistic recognition reference relaxation release reorganization report reptation resin resistor retraction review rheology ring rings rod rouse rubber sans s-bfm scaling scattering schieber second sectorization self self-diffusion self-entanglement semicrystalline semidilute semiflexible separation shear shish-kebab silicate simulated simulation single size slip sliplink slip-link small soft solid solution solvation solvent space spacing specific spectra spectroscopy sphere spherical spherulite spoiler spring square stability star stars startup state statistical statistics status steadt stiff stiffness strain stress structure supercooling surface swnt synthesis systems takimoto tanaka telechelic temperature temporary terminal termonia tethered tft theory thermodynamics theta topological topology torsion toy tracking transfer transition transport tref tube ultra uncertainty unentangled uniaxial united universal unsolved van vdw virial viscoelastic viscoelasticity viscosity waals wall-theorem water weak weight wlc x-ray z zero zhou04 zimm —  CiteULike: Everyone's library
 

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Etymologies (1)

Toggle Century etymologies Century Dictionary (1)

  1. =F. reptation, from Latin reptatio (n-), a creeping, crawling, from reptare, past participle reptatus, creep, crawl: see reptant.
 

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