Fokker-Planck Equation for an Inverse-Square Force
From MaRDI portal
Publication:3243171
DOI10.1103/PhysRev.107.1zbMath0077.44802WikidataQ21563829 ScholiaQ21563829MaRDI QIDQ3243171
David L. Judd, M. N. Rosenbluth, W. MacDonald
Publication date: 1957
Published in: Physical Review (Search for Journal in Brave)
Related Items
Implicit reduced Vlasov-Fokker-Planck-Maxwell model based on high-order mixed elements, Hermite spectral method for Fokker-Planck-Landau equation modeling collisional plasma, Functional integral approach to the kinetic theory of inhomogeneous systems, EXACT SOLUTIONS AND MONTE CARLO SIMULATIONS OF SELF-CONSISTENT LANGEVIN EQUATIONS: A CASE STUDY FOR THE COLLECTIVE DYNAMICS OF STOCK PRICES, A variational description of transport phenomena in a plasma, Interaction of a test particle with a plasma. I: Distribution function of field particles, Interaction of a test particle with a plasma. II: Energy loss of the test particle, Accurate numerical, integral methods for computing drift-kinetic Trubnikov-Rosenbluth potentials, An explicitly solvable energy-conserving algorithm for pitch-angle scattering in magnetized plasmas, A mass-energy-conserving discontinuous Galerkin scheme for the isotropic multispecies Rosenbluth-Fokker-Planck equation, Kinetic simulation of collisional magnetized plasmas with semi-implicit time integration, A Monte Carlo method with negative particles for Coulomb collisions, A fully non-linear multi-species Fokker-Planck-Landau collision operator for simulation of fusion plasma, Oligarchy as a phase transition: the effect of wealth-attained advantage in a Fokker-Planck description of asset exchange, Composition schemes for the stochastic differential equation describing collisional pitch-angle diffusion, Magnetized Fokker–Planck equation with quasilinear diffusion for nonaxially symmetric velocity distribution functions, New velocity-space discretization for continuum kinetic calculations and Fokker-Planck collisions, Monte Carlo methods and their analysis for Coulomb collisions in multicomponent plasmas, A conservative spectral method for the Boltzmann equation with anisotropic scattering and the grazing collisions limit, Fokker-Planck kinetic modeling of suprathermal \(\alpha\)-particles in a fusion plasma, A mass, momentum, and energy conserving, fully implicit, scalable algorithm for the multi-dimensional, multi-species Rosenbluth-Fokker-Planck equation, Quadratic conservative scheme for relativistic Vlasov-Maxwell system, An efficient explicit numerical scheme for diffusion-type equations with a highly inhomogeneous and highly anisotropic diffusion tensor, Integral kinetic method for one dimension: The spherical case, Langevin representation of Coulomb collisions in PIC simulations, On the rate of relaxation for the Landau kinetic equation and related models, Hyperuniformity of expected equilibrium density distributions of Brownian particles via designer external potentials, A finite element/Fourier treatment of the Fokker-Planck equation, An equilibrium-preserving discretization for the nonlinear Rosenbluth-Fokker-Planck operator in arbitrary multi-dimensional geometry, NORSE: a solver for the relativistic non-linear Fokker-Planck equation for electrons in a homogeneous plasma, A conservative scheme for Vlasov Poisson Landau modeling collisional plasmas, Higher-order time integration of Coulomb collisions in a plasma using Langevin equations, A conservative, entropic multispecies BGK model, Multiscale high-order/low-order (HOLO) algorithms and applications, Numerical modeling of thermal force in a plasma for test-ion transport simulation based on Monte Carlo binary collision model, A review of Vlasov-Fokker-Planck numerical modeling of inertial confinement fusion plasma, Effects of Electron-Electron Interactions on Cyclotron Resonances in Gaseous Plasmas, Discontinuous Galerkin algorithms for fully kinetic plasmas, An improved control-variate scheme for particle-in-cell simulations with collisions, Solution of the Fokker-Planck transport equation by matrix factorization, Suprathermal Particles, Plasma Oscillations with Diffusion in Velocity Space, Electron and Ion Runaway in a Fully Ionized Gas. I, Numerical simulation of the plasma of an electron cyclotron resonance ion source., Kinetic Equation for a Plasma with Unsteady Correlations, Collisional transport for general magnetized plasmas in the weakly collisional regime, New techniques for calculating heat and particle source rates due to neutral beam injection in axisymmetric tokamaks, A Nonstandard Description of Wealth Concentration in Large-Scale Economies, Strongly nonlinear stochastic processes in physics and the life sciences, Electron Velocity Distributions in a Partially Ionized Gas, Nonlinear Fokker-Planck collision operator in Rosenbluth form for gyrokinetic simulations using discontinuous Galerkin method, Variational Treatment of Warm Electrons in Nonpolar Crystals, Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator, Structure of a Shock Wave in Fully Ionized Hydrogen, Continuum equations in the dynamics of rarefied gases, Electron-Electron Scattering and Transport Phenomena in Nonpolar Semiconductors, Particle simulation of Coulomb collisions: Comparing the methods of Takizuka \& Abe and Nanbu, A Vlasov-Fokker-Planck code for high energy density physics, Adaptive spectral solution method for the Landau and Lenard-Balescu equations, Plasma-material boundary conditions for discontinuous Galerkin continuum-kinetic simulations, with a focus on secondary electron emission, A wavenumber based extrapolation and interpolation method for use in conjunction with high-order finite difference schemes, An implicit energy-conservative 2D Fokker-Planck algorithm. I: Difference scheme, An implicit energy-conservative 2D Fokker-Planck algorithm. II: Jacobian-free Newton-Krylov solver, Numerical algorithms for axisymmetric Fokker-Planck-Landau operators., A high-order finite-volume algorithm for Fokker-Planck collisions in magnetized plasmas, Approximation to Singular Quadratic Collision Model in Fokker--Planck--Landau Equation, A high-accuracy Eulerian gyrokinetic solver for collisional plasmas, The Gaussian radial basis function method for plasma kinetic theory, Statistical mechanics of gravitating systems, A numerical method for the accurate solution of the Fokker-Planck-Landau equation in the nonhomogeneous case, Numerical analysis of the isotropic Fokker-Planck-Landau equation, Numerical approximation of collisional plasmas by high-order methods, Different Fokker-Planck approaches to simulate electron transport in plasmas, Solving procedure for a 25-diagonal coefficient matrix: direct numerical solutions of the three-dimensional linear Fokker-Planck equation, Kinetic theory of stellar systems, two-dimensional vortices and HMF model, An adaptive, implicit, conservative, 1D-2V multi-species Vlasov-Fokker-Planck multi-scale solver in planar geometry, An asymptitic analysis of the fokker-planck limit of a general spatial moment method for the transport equation, An adaptive, conservative 0D-2V multispecies Rosenbluth-Fokker-Planck solver for arbitrarily disparate mass and temperature regimes, An entropy based thermalization scheme for hybrid simulations of Coulomb collisions, Multilevel Monte Carlo simulation of Coulomb collisions, A finite mass based method for Vlasov-Poisson simulations, Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov-Fokker-Planck-Ampère system. II: Collisional aspects, Self-consistent inclusion of classical large-angle Coulomb collisions in plasma Monte Carlo simulations, Deterministic and Stochastic Methods for Nonlinear Landau-Fokker-Planck Kinetic Equations with Applications to Plasma Physics, On semi-classical limit of spatially homogeneous quantum Boltzmann equation: weak convergence, Direct \(N\)-body simulations, Numerical solution of the Fokker-Planck equations for a hydrogen plasma formed by neutral injection, Conservative and entropy decaying numerical scheme for the isotropic Fokker-Planck-Landau equation, Weighted particles in Coulomb collision simulations based on the theory of a cumulative scattering angle, Finite difference methods for the Fokker-Planck equation, The spectral collocation method for the kinetic equation with the nonlinear two-dimensional Coulomb collisional operator, Efficient dynamical low-rank approximation for the Vlasov-Ampère-Fokker-Planck system, Interacting particle systems with long-range interactions: approximation by tagged particles in random fields, The completely conservative difference schemes for the nonlinear Landau-Fokker-Planck equation, The Nonuniversality of Wealth Distribution Tails Near Wealth Condensation Criticality, Transverse diffusion of a collimated particle beam., Efficiency of current drive by fast waves, Simulation of ionisation dynamics and electron kinetics, Radially symmetric models of the Landau kinetic equation and high energy tails, On some properties of the Landau kinetic equation, A fully implicit, scalable, conservative nonlinear relativistic Fokker-Planck 0D-2P solver for runaway electrons, A conservative phase-space moving-grid strategy for a 1D-2V Vlasov-Fokker-Planck solver, FOCUS: a full-orbit CUDA solver for particle simulations in magnetized plasmas, Data-driven stochastic particle scheme for collisional plasma simulations, Variance reduced particle solution of the Fokker-Planck equation with application to rarefied gas and plasma dynamics, Multigrid treatment of implicit continuum diffusion, Fast spectral methods for the Fokker-Planck-Landau collision operator., Fokker–planck Treatment of Collisional Stellar Dynamics, A bounce-averaged ion Fokker-Planck code for Penning fusion devices., On self‐similar collapsing solutions to the kinetic equations of stellar dynamics, Solution of the Fokker-Planck equation with mixing of angular harmonics by beam-beam charge exchange, On the Master‐Equation Approach to Kinetic Theory: Linear and Nonlinear Fokker‐Planck Equations, A Spectral Transform Method for Singular Sturm--Liouville Problems with Applications to Energy Diffusion in Plasma Physics
Cites Work
