000			01682 a2200193 4500
020			_a9789813273436
040			_cIIT Kanpur
041			_aeng
082			_a515.83 _bIo5f
100			_aIomin, Alexander
245			_aFractional dynamics in comb-like structures _cAlexander Iomin, Vicenc Mendez and Werner Horsthemke
260			_bWorld Scientific Publishing _c2018 _aNew Jersey
300			_axv, 229p
520			_aRandom walks often provide the underlying mesoscopic mechanism for transport phenomena in physics, chemistry and biology. In particular, anomalous transport in branched structures has attracted considerable attention. Combs are simple caricatures of various types of natural branched structures that belong to the category of loopless graphs. The comb model was introduced to understand anomalous transport in percolation clusters. Comb-like models have been widely adopted to describe kinetic processes in various experimental applications in medical physics and biophysics, chemistry of polymers, semiconductors, and many other interdisciplinary applications.The authors present a random walk description of the transport in specific comb geometries, ranging from simple random walks on comb structures, which provide a geometrical explanation of anomalous diffusion, to more complex types of random walks, such as non-Markovian continuous-time random walks. The simplicity of comb models allows to perform a rigorous analysis and to obtain exact analytical results for various types of random walks and reaction-transport processes.
650			_aNonlinear differential equation
700			_aMendez, Vicenc
700			_aHorsthemke, Werner
942			_cBK
999			_c559756 _d559756