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- File_dynamics abstract "The term file dynamics is the motion of many particles in a narrow channel.In science: in chemistry, physics, mathematics and related fields, file dynamics (sometimes called, single file dynamics) is the diffusion of N (N → ∞) identical Brownian hard spheres in a quasi-one-dimensional channel of length L (L → ∞), such that the spheres do not jump one on top of the other, and the average particle's density is approximately fixed. The most famous statistical properties of this process is that the mean squared displacement (MSD) of a particle in the file follows, , and its probability density function (PDF) is Gaussian in position with a variance MSD.Results in files that generalize the basic file include: In files with a density law that is not fixed, but decays as a power law with an exponent a with the distance from the origin, the particle in the origin has a MSD that scales like, , with a Gaussian PDF. When, in addition, the particles' diffusion coefficients are distributed like a power law with exponent γ (around the origin), the MSD follows, , with a Gaussian PDF. In anomalous files that are renewal, namely, when all particles attempt a jump together, yet, with jumping times taken from a distribution that decays as a power law with an exponent, −1 − α, the MSD scales like the MSD of the corresponding normal file, in the power of α. In anomalous files of independent particles, the MSD is very slow and scales like, . Even more exciting, the particles form clusters in such files, defining a dynamical phase transition. This depends on the anomaly power α: the percentage of particles in clusters ξ follows, . Other generalizations include: when the particles can bypass each other with a constant probability upon encounter, an enhanced diffusion is seen. When the particles interact with the channel, a slower diffusion is observed. Files in embedded in two-dimensions show similar characteristics of files in one dimension.Generalizations of the basic file are important since these models represent reality much more accurately than the basic file. Indeed, file dynamics are used in modeling numerous microscopic processes: the diffusion within biological and synthetic pores and porous material, the diffusion along 1D objects, such as in biological roads, the dynamics of a monomer in a polymer, etc.".
- File_dynamics wikiPageID "31778638".
- File_dynamics wikiPageRevisionID "580730421".
- File_dynamics hasPhotoCollection File_dynamics.
- File_dynamics subject Category:Diffusion.
- File_dynamics subject Category:Statistical_mechanics.
- File_dynamics subject Category:Stochastic_processes.
- File_dynamics type Abstraction100002137.
- File_dynamics type Cognition100023271.
- File_dynamics type Concept105835747.
- File_dynamics type Content105809192.
- File_dynamics type Hypothesis105888929.
- File_dynamics type Idea105833840.
- File_dynamics type Model105890249.
- File_dynamics type PsychologicalFeature100023100.
- File_dynamics type StochasticProcess113561896.
- File_dynamics type StochasticProcesses.
- File_dynamics comment "The term file dynamics is the motion of many particles in a narrow channel.In science: in chemistry, physics, mathematics and related fields, file dynamics (sometimes called, single file dynamics) is the diffusion of N (N → ∞) identical Brownian hard spheres in a quasi-one-dimensional channel of length L (L → ∞), such that the spheres do not jump one on top of the other, and the average particle's density is approximately fixed.".
- File_dynamics label "File dynamics".
- File_dynamics sameAs m.0gtwss9.
- File_dynamics sameAs Q5448345.
- File_dynamics sameAs Q5448345.
- File_dynamics sameAs File_dynamics.
- File_dynamics wasDerivedFrom File_dynamics?oldid=580730421.
- File_dynamics isPrimaryTopicOf File_dynamics.