Withinaunifyingframework,Diffusion:FormalismandApplicationscoversbothclassicalandquantumdomains,alongwithnumerousapplications.Theauthorexploresthemorethantwocenturies-oldhistoryofdiffusion,expertlyweavingtogetheravarietyoftopicsfromphysics,mathematics,chemistry,andbiology.




Thebookexaminesthetwodistinctparadigmsofdiffusion--physicalandstochastic--introducedbyFourierandLaplaceandlaterunifiedbyEinsteininhisgroundbreakingworkonBrownianmotion.Theauthordescribestheroleofdiffusioninprobabilitytheoryandstochasticcalculusanddiscussestopicsinmaterialsscienceandmetallurgy,suchasdefect-diffusion,radiationdamage,andspinodaldecomposition.Inaddition,headdressestheimpactoftranslational/rotationaldiffusiononexperimentaldataandcoversreaction-diffusionequationsinbiology.Focusingondiffusioninthequantumdomain,thebookalsoinvestigatesdissipativetunneling,Landaudiamagnetism,coherence-to-decoherencetransition,quantuminformationprocesses,andelectronlocalization.