Crossover between ballistic and diffusive transport: the quantum exclusion process
نویسندگان
چکیده
منابع مشابه
Crossover from Diffusive to Ballistic Transport in Periodic Quantum Maps
We derive an expression for the mean square displacement of a particle whose motion is governed by a uniform, periodic, quantum multi-baker map. The expression is a function of both time, t, and Planck’s constant, ~, and allows a study of both the long time, t → ∞, and semi-classical, ~ → 0, limits taken in either order. We evaluate the expression using random matrix theory as well as numerical...
متن کاملDiffusive-ballistic crossover in 1D quantum walks.
We show that particle transport, as characterized by the equilibrium mean square displacement, in a uniform, quantum multibaker map, is generically ballistic in the long time limit, for any fixed value of Planck's constant. However, for fixed times, the semiclassical limit leads to diffusion. Random matrix theory provides explicit analytical predictions for the mean square displacement of a par...
متن کاملCrossover from Ballistic to Diffusive Thermal Transport in Carbon Nanotubes
We present a theoretical scheme that seamlessly handles the crossover from fully ballistic to diffusive thermal transport regimes and apply it to carbon nanotubes. At room temperature, the micrometer-length nanotubes belong to the intermediate regime in which ballistic and diffusive phonons coexist, and the thermal conductance exhibits anomalous nonlinear tube-length dependence due to this coex...
متن کاملShot noise in generic quantum dots: crossover from ballistic to diffusive transport
We study shot noise for generic quantum dots coupled to two leads and allow for an arbitrary strength of diffractive impurity scattering inside the dots. The ballistic quantum dots possess a mixed classical phase space, where regular and chaotic regions coexist. In absence of disorder, the noise is systematically suppressed below the universal value of fully chaotic systems, by an amount which ...
متن کاملBallistic versus diffusive transport in graphene
Mario F. Borunda,1,2,* H. Hennig,2 and Eric J. Heller2,3 1Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078, USA 2Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA 3Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, USA (Received 9 April 2013; revised manuscript received 9 August 2013; publish...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2011
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2011/06/p06007