The Experts below are selected from a list of 84 Experts worldwide ranked by ideXlab platform
Nikolai Dokuchaev - One of the best experts on this subject based on the ideXlab platform.
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a Closed Equation in time domain for band limited extensions of one sided sequences
IEEE Transactions on Signal Processing, 2018Co-Authors: Nikolai DokuchaevAbstract:This paper suggests a method of optimal extension of one-sided semi-infinite sequences of a general type by traces of band-limited sequences in deterministic setting, i.e., without probabilistic assumptions. The method requires to solve a Closed linear Equation in the time domain connecting the past observations of the underlying process with the future values of the band-limited process. Robustness of the solution with respect to the input errors and data truncation is established in the framework of Tikhonov regularization.
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a Closed Equation in time domain for band limited extensions of one sided sequences
arXiv: Information Theory, 2015Co-Authors: Nikolai DokuchaevAbstract:The paper suggests a method of optimal extension of one-sided semi-infinite sequences of a general type by traces of band-limited sequences in deterministic setting, i.e. without probabilistic assumptions. The method requires to solve a Closed linear Equation in the time domain connecting the past observations of the underlying process with the future values of the band-limited process. Robustness of the solution with respect to the input errors and data truncation is established in the framework of Tikhonov regularization.
Daiki Nishiguchi - One of the best experts on this subject based on the ideXlab platform.
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Pair correlation of dilute Active Brownian Particles: from low activity dipolar correction to high activity algebraic depletion wings
Physical Review E, 2020Co-Authors: Alexis Poncet, Olivier Bénichou, Vincent Démery, Daiki NishiguchiAbstract:We study the pair correlation of Active Brownian Particles at low density using numerical simula-tions and analytical calculations. We observe a winged pair correlation: while particles accumulatein front of an active particle as expected, the depletion wake consists of two depletion wings. In thelimit of soft particles, we obtain a Closed Equation for the pair correlation, allowing us to characterizethe depletion wings. In particular, we unveil two regimes at high activity where the wings adopta self-similar profile and decay algebraically. We also perform experiments of self-propelled Janusparticles and indeed observe the depletion wings.
Alexis Poncet - One of the best experts on this subject based on the ideXlab platform.
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Pair correlation of dilute Active Brownian Particles: from low activity dipolar correction to high activity algebraic depletion wings
Physical Review E, 2020Co-Authors: Alexis Poncet, Olivier Bénichou, Vincent Démery, Daiki NishiguchiAbstract:We study the pair correlation of Active Brownian Particles at low density using numerical simula-tions and analytical calculations. We observe a winged pair correlation: while particles accumulatein front of an active particle as expected, the depletion wake consists of two depletion wings. In thelimit of soft particles, we obtain a Closed Equation for the pair correlation, allowing us to characterizethe depletion wings. In particular, we unveil two regimes at high activity where the wings adopta self-similar profile and decay algebraically. We also perform experiments of self-propelled Janusparticles and indeed observe the depletion wings.
Joseph M. Brader - One of the best experts on this subject based on the ideXlab platform.
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Power functional theory for Brownian dynamics
The Journal of chemical physics, 2013Co-Authors: Matthias Schmidt, Joseph M. BraderAbstract:Classical density functional theory (DFT) provides an exact variational framework for determining the equilibrium properties of inhomogeneous fluids. We report a generalization of DFT to treat the non-equilibrium dynamics of classical many-body systems subject to Brownian dynamics. Our approach is based upon a dynamical functional consisting of reversible free energy changes and irreversible power dissipation. Minimization of this `free power' functional with respect to the microscopic one-body current yields a Closed Equation of motion. In the equililibrium limit the theory recovers the standard variational principle of DFT. The adiabatic dynamical density functional theory is obtained when approximating the power dissipation functional by that of an ideal gas. Approximations to the excess (over ideal) power dissipation yield numerically tractable Equations of motion beyond the adiabatic approximation, opening the door to the systematic study of systems far from equilibrium.
Eric Vandeneijnden - One of the best experts on this subject based on the ideXlab platform.
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dynamic density functional theory with hydrodynamic interactions and fluctuations
Journal of Chemical Physics, 2014Co-Authors: Aleksandar Donev, Eric VandeneijndenAbstract:We derive a Closed Equation for the empirical concentration of colloidal particles in the presence of both hydrodynamic and direct interactions. The ensemble average of our functional Langevin Equation reproduces known deterministic Dynamic Density Functional Theory (DDFT) [M. Rex and H. Lowen, “Dynamical density functional theory with hydrodynamic interactions and colloids in unstable traps,” Phys. Rev. Lett. 101(14), 148302 (2008)], and, at the same time, it also describes the microscopic fluctuations around the mean behavior. We suggest separating the ideal (non-interacting) contribution from additional corrections due to pairwise interactions. We find that, for an incompressible fluid and in the absence of direct interactions, the mean concentration follows Fick's law just as for uncorrelated walkers. At the same time, the nature of the stochastic terms in fluctuating DDFT is shown to be distinctly different for hydrodynamically-correlated and uncorrelated walkers. This leads to striking differences i...