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A Model connecting Quantum, Diffusion, Soliton, and Periodic Localized States under Brownian motion
connecting Quantum Diffusion Soliton Brownian motion Mesoscale and Nanoscale Physics
2011/10/9
Abstract: We propose new equations of motion under the theory of the Brownian motion to connect the states of quantum, diffusion, soliton, and periodic localization. The new equations are nothing but ...
Self-repelling fractional Brownian motion - a generalized Edwards model for chain polymers
Self-repelling fractional Brownian motion Edwards model chain polymers
2011/7/26
Abstract: We present an extension of the Edwards model for conformations of individual chain molecules in solvents in terms of fractional Brownian motion, and discuss the excluded volume effect on the...
Perturbation Theory for Fractional Brownian Motion in Presence of Absorbing Boundaries
Perturbation Theory Presence of Absorbing Boundaries
2010/11/25
Fractional Brownian motion is a Gaussian process x(t) with zero mean and two-time correlations
hx(t1)x(t2)i = Dt2H 1 + t2H 2 jt1 t2j2H, where H, with 0 < H < 1 is called the Hu...
Brownian Motion of a Test Particle with a Normal Classical
Velocity in Spacetime with a Plane Boundary
Brownian motion vacuum fluctuation quantum field theory
2007/8/15
2007Vol.47No.5pp.847-850DOI:
Brownian Motion of a Test Particle with a Normal Classical
Velocity in Spacetime with a Plane Boundary
FU Xiang-Yun and YU Hong-Wei
Departme...