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Relativistic Brownian motion on a graphene chip | | Andrey Pototsky
; Fabio Marchesoni
; Feodor V. Kusmartsev
; Peter Hänggi
; | | Date: |
4 Mar 2011 | | Abstract: | Recent progress towards a consistent formulation of relativistic
thermodynamics and its extension to describe non-equilibrium phenomena, such as
diffusive transport and Brownian motion of relativistic particles, opened up a
new promising and largely unexplored field of research. To experimentally
assess the correctness of the current competing formulations, one should create
a gas of relativistic particles with a sufficiently high density in order to
account for the statistics of particle collisions. To-date experimental data on
the Brownian motion of relativistic particles have been extracted mostly from
cosmic rays measurements, which explains the poor statistics and limited
accessibility for a comparison. Here we elaborate on a more controllable, small
scale realization of relativistic Brownian motion in the presence of external
fields of force. Graphene sheets, with their unique electronic properties,
offer an alternative way to study the combination of relativistic and
stochastic effects, as their elementary excitations behave, indeed, as
relativistic massless particles. Here we present a variety of peculiar
relativistic stochastic effects, which can be inexpensively tested on graphene
chips under laboratory conditions. Such effects include, (i) stochastic
antiresonance, associated with the suppression of the response of a Brownian
particle to a harmonic signal induced by thermal fluctuations; (ii)
relativistic harmonic mixing, whereby the electronic transport can be
controlled by two orthogonal ac drives; (iii) transverse ratchet effect,
relating to noise-induced directed current of Dirac fermions in an asymmetric
substrate potential, and, finally, (iv) relativistic chaotic stochastic
resonance. We confide that the experimental demonstration of these effects will
pave the way to electron transport control in graphene-based electronics. | | Source: | arXiv, 1103.0945 | | Services: | Forum | Review | PDF | Favorites | |
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