Mapping the Monte Carlo scheme to Langevin dynamics: a Fokker-Planck approach.
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Summary
This work derives the drift and diffusion FPE terms corresponding to the MC method and shows that it is analytically equivalent to the stochastic Landau-Lifshitz-Gilbert (LLG) equation of Langevin-based micromagnetics.
- Type
- article
- Published
- 2006-02-01
- Cited by
- 52
- References
- 9
- Access
- Open access
- OpenAlex
- https://openalex.org/W1824272291
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:24413990
Keywords
Physics, Fokker–Planck equation, Langevin equation, Monte Carlo method, Statistical physics
References
- The Langevin Equation: With Applications in Physics, Chemistry and Electrical Engineering
- Fundamentals of Statistical and Thermal Physics
- A Guide to Monte Carlo Simulations in Statistical Physics
- Fokker-Planck Equation
- Medical learning curves and the Kantian ideal
- The Langevin equation with applications in physics, chemistry and electrical engineering
- A Guide to Monte Carlo Simulations in Statistical Physics
- Monte Carlo Methods in Finance
- The Fokker-Planck Equation
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- Thermal fluctuations of magnetic nanoparticles: Fifty years after Brown
- Damping dependence of the reversal time of the magnetization of single-domain ferromagnetic particles for the Néel-Brown model: Langevin dynamics simulations versus analytic results
- A Survey on the Numerics and Computations for the Landau-Lifshitz Equation of Micromagnetism
- Superparamagnetism and Monte Carlo Simulations
- Dipolar interactions and thermal stability of two-dimensional nanoparticle arrays
- Modeling the magnetization kinetics of ferromagnetic particles by the Monte Carlo method
- Size and polydispersity effect on the magnetization of densely packed magnetic nanoparticles
- Integral propagator solvers for Vlasov–Fokker–Planck equations
- Dynamic Monte Carlo versus Brownian dynamics: A comparison for self-diffusion and crystallization in colloidal fluids.
- Metropolis Monte Carlo analysis of all-optical switching
- Synchronization landscapes in small-world-connected computer networks.
- Coarse-grained Monte Carlo simulations of non-equilibrium systems.
- Path reweighting technique with scaling factor for stochastic dynamics and its application to the magnetization reversal process
- Magnetism and the effect of anisotropy with a one-dimensional monatomic chain of cobalt using a Monte Carlo simulation
- Analytical solutions for two-level systems with damping
- Computational analysis of binary segregation during colloidal crystallization with DNA-mediated interactions.
- Dynamic Monte Carlo simulation in mixtures.
- Equilibrium magnetic properties of dipolar interacting ferromagnetic nanoparticles
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