Harmonic Potential of Elise Schmidt (1844-1909) and Smoluchowski Equation
- Smoluchowski Diffusion Equation.
- Derivation of the Smoluchoswki Diffusion Equation for Potential Fields.
- One-Dimensional Diffuson in a Linear Potential.
- Diffusion in a One-Dimensional Harmonic Potential.
- Diffusion in a Linear Potential.
- Diffusion in a Harmonic Potential.
- Harmonic Potential with a Reactive Center.
- Free Diffusion in a Finite Domain.
- Hysteresis in a Harmonic Potential.
- Hysteresis in a Bistable Potential.
- Adjoint Smoluchowski Equation.
- The Adjoint Smoluchowski Equation.
- Smoluchowski Equation for Potentials: Extremum Principle and Spectral Expansion.
- Minimum Principle for the Smoluchowski Equation.
- Eigenfunctions and Eigenvalues of the Smoluchowski Operator.
- One-Dimensional Diffusion in a Harmonic Potential.
- Fokker-Planck Equation in x and v for Harmonic Oscillator.
- Velocity Replacement Echoes.
- Rate Equations for Discrete Processes.
- Dynamics under the Inuence of Stochastic Forces.
- Newton's Equation and Langevin's Equation.
- Stochastic Differential Equations.
- Fokker-Planck Equations.
- Einstein Diffusion Equation.
- Derivation and Boundary Conditions.
- Free Diffusion in One-dimensional Half-Space.
- Free Diffusion around a Spherical Object.
- Free Diffusion in a Finite Domain.
- Monte Carlo Integration of Stochastic Processes.
- Ito Calculus and Brownian Dynamics.
- The Brownian Dynamics Method Applied.
- Linear Analysis of Canonical Model.
- Rates of Diffusion-Controlled Reactions.
- Relative Diffusion of two Free Particles.
- Diffusion-Controlled Reactions under Stationary Conditions.
- Ohmic Resistance and Irreversible Work.
- The Generic Model: Two-State Quantum System Coupled to an Oscillator.
- Two-State System Coupled to a Classical Medium.
- Two State System Coupled to a Stochastic Medium.
- Two State System Coupled to a Single Quantum Mechanical Oscillator.
- Two State System Coupled to a Multi-Modal Bath of Quantum Mechanical Oscillators.
- Numerical Evaluation of the Line Shape Function.
bibliographies
Harmonic Potential of Elise Schmidt (1844-1909) and Smoluchowski Equation
