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- W3100410869 endingPage "20220" @default.
- W3100410869 startingPage "20220" @default.
- W3100410869 abstract "We consider diffusion processes with a spatially varying diffusivity giving rise to anomalous diffusion. Such heterogeneous diffusion processes are analysed for the cases of exponential, power-law, and logarithmic dependencies of the diffusion coefficient on the particle position. Combining analytical approaches with stochastic simulations, we show that the functional form of the space-dependent diffusion coefficient and the initial conditions of the diffusing particles are vital for their statistical and ergodic properties. In all three cases a weak ergodicity breaking between the time and ensemble averaged mean squared displacements is observed. We also demonstrate a population splitting of the time averaged traces into fast and slow diffusers for the case of exponential variation of the diffusivity as well as a particle trapping in the case of the logarithmic diffusivity. Our analysis is complemented by the quantitative study of the space coverage, the diffusive spreading of the probability density, as well as the survival probability." @default.
- W3100410869 created "2020-11-23" @default.
- W3100410869 creator A5000538495 @default.
- W3100410869 creator A5044662930 @default.
- W3100410869 date "2013-01-01" @default.
- W3100410869 modified "2023-10-13" @default.
- W3100410869 title "Population splitting, trapping, and non-ergodicity in heterogeneous diffusion processes" @default.
- W3100410869 cites W1487024703 @default.
- W3100410869 cites W1817893905 @default.
- W3100410869 cites W1965426989 @default.
- W3100410869 cites W1967200406 @default.
- W3100410869 cites W1968248493 @default.
- W3100410869 cites W1968921863 @default.
- W3100410869 cites W1971359112 @default.
- W3100410869 cites W1972995866 @default.
- W3100410869 cites W1975900429 @default.
- W3100410869 cites W1975975963 @default.
- W3100410869 cites W1976776824 @default.
- W3100410869 cites W1977360274 @default.
- W3100410869 cites W1978514520 @default.
- W3100410869 cites W1980752513 @default.
- W3100410869 cites W1983967148 @default.
- W3100410869 cites W1983971910 @default.
- W3100410869 cites W1986704943 @default.
- W3100410869 cites W1989279858 @default.
- W3100410869 cites W1989941945 @default.
- W3100410869 cites W1990912370 @default.
- W3100410869 cites W1991515822 @default.
- W3100410869 cites W1992659238 @default.
- W3100410869 cites W1993356393 @default.
- W3100410869 cites W1993826062 @default.
- W3100410869 cites W1996572056 @default.
- W3100410869 cites W1998904894 @default.
- W3100410869 cites W2000217017 @default.
- W3100410869 cites W2000523344 @default.
- W3100410869 cites W2003134276 @default.
- W3100410869 cites W2003650759 @default.
- W3100410869 cites W2004448265 @default.
- W3100410869 cites W2005084201 @default.
- W3100410869 cites W2006432817 @default.
- W3100410869 cites W2009354582 @default.
- W3100410869 cites W2009446982 @default.
- W3100410869 cites W2012021517 @default.
- W3100410869 cites W2013348880 @default.
- W3100410869 cites W2019525930 @default.
- W3100410869 cites W2019694618 @default.
- W3100410869 cites W2024324386 @default.
- W3100410869 cites W2025843255 @default.
- W3100410869 cites W2034352409 @default.
- W3100410869 cites W2034876354 @default.
- W3100410869 cites W2037633090 @default.
- W3100410869 cites W2038936757 @default.
- W3100410869 cites W2042048468 @default.
- W3100410869 cites W2042492157 @default.
- W3100410869 cites W2045514685 @default.
- W3100410869 cites W2048041195 @default.
- W3100410869 cites W2055015831 @default.
- W3100410869 cites W2057725162 @default.
- W3100410869 cites W2058946062 @default.
- W3100410869 cites W2059281081 @default.
- W3100410869 cites W2060387286 @default.
- W3100410869 cites W2061749936 @default.
- W3100410869 cites W2062040958 @default.
- W3100410869 cites W2062517214 @default.
- W3100410869 cites W2065232395 @default.
- W3100410869 cites W2068106454 @default.
- W3100410869 cites W2068584544 @default.
- W3100410869 cites W2069364984 @default.
- W3100410869 cites W2070342495 @default.
- W3100410869 cites W2073811334 @default.
- W3100410869 cites W2077398788 @default.
- W3100410869 cites W2077971637 @default.
- W3100410869 cites W2078356850 @default.
- W3100410869 cites W2079022706 @default.
- W3100410869 cites W2079997146 @default.
- W3100410869 cites W2080878566 @default.
- W3100410869 cites W2083409406 @default.
- W3100410869 cites W2083511442 @default.
- W3100410869 cites W2083897947 @default.
- W3100410869 cites W2084058002 @default.
- W3100410869 cites W2085440349 @default.
- W3100410869 cites W2088222294 @default.
- W3100410869 cites W2088247116 @default.
- W3100410869 cites W2090827852 @default.
- W3100410869 cites W2091464855 @default.
- W3100410869 cites W2091890104 @default.
- W3100410869 cites W2093744628 @default.
- W3100410869 cites W2094232093 @default.
- W3100410869 cites W2095169147 @default.
- W3100410869 cites W2100509843 @default.
- W3100410869 cites W2101269170 @default.
- W3100410869 cites W2103504827 @default.
- W3100410869 cites W2111271983 @default.
- W3100410869 cites W2111729425 @default.
- W3100410869 cites W2112360585 @default.
- W3100410869 cites W2122328014 @default.
- W3100410869 cites W2122992893 @default.
- W3100410869 cites W2134142437 @default.