2009/02/17 by Stephan Eule, S. Eule, R. Friedrich · 45 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Anomalous diffusion #Biasing #Classical mechanics #Computer science #Diffusion #Field (mathematics) #Fractional Differential Equations Solutions #Innovation diffusion #Langevin dynamics #Langevin equation #Mathematics #Physics #Quantum mechanics #Statistical physics #Voltage #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1209/0295-5075/86/30008
published in Europhysics Letters (EPL) 86(3), 30008 (Institute of Physics)
arxiv created 2009/02/17 · openalex publication_date 2009/05/01 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The role of external forces in systems exhibiting anomalous diffusion is discussed on the basis of the describing Langevin equations.Since there exist different possibilities to include the effect of an external field, the concept of biasing and decoupled external fields is introduced.Complementary to the recently established Langevin equations for anomalous diffusion in a timedependent external force field (Magdziarz M. et al., Phys.Rev. Lett., 101 (2008) 210601), the Langevin formulation of anomalous diffusion in a decoupled time-dependent force field is derived.