5,013 research outputs found
Systems of interacting diffusions with partial annihilation through membranes
We introduce an interacting particle system in which two families of
reflected diffusions interact in a singular manner near a deterministic
interface . This system can be used to model the transport of positive and
negative charges in a solar cell or the population dynamics of two segregated
species under competition. A related interacting random walk model with
discrete state spaces has recently been introduced and studied in Chen and Fan
(2014). In this paper, we establish the functional law of large numbers for
this new system, thereby extending the hydrodynamic limit in Chen and Fan
(2014) to reflected diffusions in domains with mixed-type boundary conditions,
which include absorption (harvest of electric charges). We employ a new and
direct approach that avoids going through the delicate BBGKY hierarchy.Comment: Published at http://dx.doi.org/10.1214/15-AOP1047 in the Annals of
Probability (http://www.imstat.org/aop/) by the Institute of Mathematical
Statistics (http://www.imstat.org
Exact Pseudofermion Action for Monte Carlo Simulation of Domain-Wall Fermion
We present an exact pseudofermion action for hybrid Monte Carlo simulation
(HMC) of one-flavor domain-wall fermion (DWF), with the effective 4-dimensional
Dirac operator equal to the optimal rational approximation of the overlap-Dirac
operator with kernel , where and are constants. Using this exact pseudofermion action, we perform HMC of
one-flavor QCD, and compare its characteristics with the widely used rational
hybrid Monte Carlo algorithm (RHMC). Moreover, to demonstrate the practicality
of the exact one-flavor algorithm (EOFA), we perform the first dynamical
simulation of the (1+1)-flavors QCD with DWF.Comment: 13 pages, 4 figures, v2: Simulation of (1+1)-flavors QCD with DWF,
and references added. To appear in Phys. Lett.
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