جهت دسترسی به کاربرگه ی زیر، از این لینک استفاده کنید. http://dl.pgu.ac.ir/handle/Hannan/113628
Title: Noise-induced transitions in rugged energy landscapes
Keywords: Science & Technology;Physical Sciences;Physics, Fluids & Plasmas;Physics, Mathematical;Physics;HETEROGENEOUS MULTISCALE METHOD;ANOMALOUS SLOW DIFFUSION;DYNAMICAL-SYSTEMS DRIVEN;PERIODIC POTENTIALS;BROWNIAN-MOTION;ROUGH SURFACES;CONTACT LINES;HOMOGENIZATION;MODEL;HYSTERESIS;Fluids & Plasmas; Mathematical Sciences;Physical Sciences;Engineering
Issue Date: 14-Oct-2016
Publisher: American Physical Society
place: Commission of the European Communities;Engineering & Physical Science Research Council (EPSRC);Engineering & Physical Science Research Council (EPSRC);Engineering & Physical Science Research Council (EPSRC);Engineering & Physical Science Research Council (EPSRC);Engineering & Physical Science Research Council (EPSRC);Engineering & Physical Science Research Council (EPSRC)
Description: We consider the problem of an overdamped Brownian particle moving in multiscale potential with N+1 characteristic length scales: the macroscale and N separated microscales. We show that the coarse-grained dynamics is given by an overdamped Langevin equation with respect to the free energy and with a space-dependent diffusion tensor, the calculation of which requires the solution of N fully coupled Poisson equations. We study in detail the structure of the bifurcation diagram for one-dimensional problems, and we show that the multiscale structure in the potential leads to hysteresis effects and to noise-induced transitions. Furthermore, we obtain an explicit formula for the effective diffusion coefficient for a self-similar separable potential, and we investigate the limit of infinitely many small scales.
URI: http://dl.pgu.ac.ir/handle/Hannan/113628
Other Identifiers: 1539-3755
http://hdl.handle.net/10044/1/41525
http://dx.doi.org/10.1103/PhysRevE.94.032107
247031
EP/H034587/1
EP/K008595/1
EP/L025159/1
EP/L020564/1
EP/L027186/1
EP/N005465/1
Type Of Material: Other
Appears in Collections:Chemical Engineering

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