We study the random sequential adsorption (RSA) of unoriented anisotropic objects onto a flat uniform surface, for various shapes (spherocylinders, ellipses, rectangles, and needles) elongations. The asymptotic approach to jamming limit is shown follow expected algebraic behavior, θ(∞)−θ(t)∼t−1/3, where θ surface coverage; this result valid all elongations, provided have nonzero proper area. In very small long-time behavior consists two successive critical regimes: first characterized by...

We study the kinetics of random sequential adsorption (RSA) anisotropic bodies (rectangles, ellipses, spherocylinders or, more precisely, discorectangles, and needles) at low-to-intermediate coverages. In this regime, probability can be expressed as a power series in coverage. calculate numerically second- third-order coefficients compare results to simulation data. The for low-coverage are then combined with asymptotic Paper I [J. Chem. Phys. 97, xxxx (1992)] construct approximate equations...

Spike-sorting techniques attempt to classify a series of noisy electrical waveforms according the identity neurons that generated them. Existing perform this classification ignoring several properties actual can ultimately improve performance. In study, we propose more realistic spike train generation model. It incorporates both description “nontrivial” (i.e., non-Poisson) neuronal discharge statistics and waveform dynamics (e.g., events amplitude decays for short interspike intervals). We...

Abstract In random sequential covering (RSC), identical objects are deposited randomly, irreversibly, and sequentially; only attempts that increase coverage accepted. The process continues indefinitely on an infinite substrate, we analyze the dynamics of RSC <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mi mathvariant="double-struck">Z</mml:mi> </mml:mrow> </mml:math> using k -mers. We introduce a method provides comprehensive solution to this...

Abstract The adoption of agroecological practices will be crucial to address the challenges climate change and biodiversity loss. Such favor cultivation plants in complex mixtures with layouts differing from monoculture approach conventional agriculture. Inspired by random sequential adsorption processes, we propose a one-dimensional model which are represented as line segments that start points grow at constant rate until they reach length σ after time interval τ . planting positions times...

We investigate the influence of space curvature, and associated frustration, on dynamics a model glass former: monatomic liquid hyperbolic plane. find that system's fragility, i.e., sensitivity relaxation time to temperature changes, increases as one decreases frustration. As result, curving provides way tune fragility make it large wanted. also show nature emerging "dynamic heterogeneities", another distinctive feature slowly relaxing systems, is directly connected presence...

Within the framework of a Boltzmann-Lorentz equation, we analyze dynamics granular rotor immersed in bath thermalized particles presence frictional torque on axis. In numerical simulations observe two scaling regimes at low and high temperatures. large friction limit, obtain exact solution model corresponding to asymptotic behavior equation. limit mass small friction, derive Fokker-Planck equation for which is also obtained.

We present a kinetic adsorption model for proteins that accounts the experimentally observed properties of partial reversibility and surface induced conformational change. Particles (proteins) are modeled as disks adsorb sequentially without overlap at random positions onto surface. Following adsorption, particle can either desorb or spread symmetrically to larger size. If latter occurs, it remains adsorbed irreversibly. Both these events obey first order rate laws. derive analytical results...

An analytical expression of the pair distribution function is derived for car-parking problem and random sequential adsorption K-mers onto a one-dimensional lattice. Both on lattice in continuum limit, super-exponential decay observed. A comparison spatial correlations with those at equilibrium demonstrates influence irreversibility RSA process.

We study the relation between out-of-equilibrium (hysteretic) and equilibrium behavior in capillary condensation of fluids disordered mesoporous solids. Using mean-field density functional theory, we show that a simple lattice-gas model can reproduce major experimental observations classical van der Waals picture metastability fails due appearance many metastable states. find (i) true phase transition may occur when perturbation induced by solid is sufficiently small; (ii) hysteresis does...

Random sequential addition of unoriented squares onto a plane was studied by computer simulation and the results relative to slow asymptotic approach jamming limit are presented. It is shown that, in contradiction with Swendsen's conjecture, power law describing time evolution surface coverage has an exponent 1/3 (within statistical uncertainties). Methodological aspects related study regime emphasized.

We consider the two-dimensional motion of a particle in confining potential, subject to Brownian orthogonal forces associated with two different temperatures. Exact solutions are obtained for an asymmetric harmonic potential overdamped and underdamped regimes. For more general potentials, perturbative approach shows that stationary state exhibits some universal properties. The nonequilibrium is characterized nonzero orthoradial mean current, corresponding global rotation around center. due...

The effects of particle conformational changes on the kinetics and saturation coverage irreversible macromolecular adsorption at liquid–solid interfaces are investigated by computer simulation a modified random sequential model. In this model, macromolecules (modeled as disks diameter σα) adsorb onto surface rate ka. Once adsorbed, particles spread symmetrically discretely to larger σβ ks. Adsorption or spreading events which result in overlap not allowed. We investigate magnitude Σ (=σβ/σα)...

An event-driven molecular dynamics simulation of inelastic hard spheres contained in a cylinder and subject to strong vibration reproduces accurately experimental results [R. D. Wildman et al., Phys. Rev. Lett. 86, 3304 (2001)] for system vibrofluidized glass beads. In particular, we are able obtain the velocity field density temperature profiles observed experimentally. addition, show that appearance convection rolls is strongly influenced by value sidewall-particle restitution coefficient....

Asymptotic kinetics for random sequential addition of unoriented nonspherical objects is characterized by an algebraic time dependence. By studying 1D systems, we show that the exponents describing with and without proper area are not simply related: Whereas asymptotic behavior rectangles follows expected ${\mathit{t}}^{\mathrm{\ensuremath{-}}1/2}$ law, long-time infinitely thin line segments governed a nontrivial, irrational, exponent...

The phase diagram of the classical ${J}_{1}--{J}_{2}$ model on kagome lattice is investigated by using extensive Monte Carlo simulations. In a realistic range parameters, this has low-temperature chiral-ordered without long-range spin order. We show that critical transition marking destruction chiral order preempted first-order proliferation ${\mathbb{Z}}_{2}$ point defects. core energy these vortices appears to vanish when approaching $T=0$ boundary, where both defects and gapless magnons...

We investigate both analytically and by numerical simulation the kinetics of a microscopic model hard rods adsorbing on linear substrate, that is relevant for compaction granular materials. The computer simulations use an event-driven algorithm particularly efficient at very long times. For small, but finite desorption rate, system reaches equilibrium state slowly, long-time display three successive regimes: algebraic one where density varies as $1/t,$ logarithmic $1/\mathrm{ln}(t),$...

We present a theoretical study of the phase diagram frustrated Ising model with nearest-neighbor ferromagnetic interactions and long-range (Coulombic) antiferromagnetic interactions. For nonzero frustration, order is forbidden, ground state system consists phases characterized by periodically modulated structures. At finite temperatures, calculated within mean-field approximation. Below transition line that separates disordered ordered phases, frustration-temperature displays an infinite...

We examine some of the consequences, and their connection to experiments on supercooled liquids, a scaling model heterogeneous relaxation that is based theory frustration-limited domains. In particular, we focus what appears be two slowest components structural relaxation, one usually described by stretched exponential or Cole–Davidson function somewhat faster, apparently power-law decay known as von-Schweidler relaxation. Based our study α-relaxation activation free energy, imaginary part...

We have investigated by Monte-Carlo simulation the phase diagram of a three-dimensional Ising model with nearest-neighbor ferromagnetic interactions and small, but long-range (Coulombic) antiferromagnetic interactions. developed an efficient cluster algorithm used different lattice sizes geometries, which allows us to obtain main characteristics temperature-frustration diagram. Our finite-size scaling analysis confirms that melting lamellar phases into paramgnetic is driven first-order...

A theory is presented to study the exchange broadening of isotropic Raman bands due ultrarapid proton-transfer reactions. It represents a generalization standard theories band profiles nonreactive liquids. The variables describing reaction are assumed represent dichotomic Markovian process. spectral behavior various AH/H2O mixtures studied as function rate and interplay shaping mechanisms discussed in detail. Finally, potentialities spectroscopy tool measure constant critically assessed.