About: Attempt time Monte Carlo: An alternative for simulation of stochastic jump processes with time-dependent transition rates     Goto   Sponge   NotDistinct   Permalink

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Description
  • We present a new method for simulating Markovian jump processes with timedependent transitions rates, which avoids the transformation of random numbers by inverting time integrals over the rates. It relies on constructing a sequence of random time points from a homogeneous Poisson process, where the system under investigation attempts to change its state with certain probabilities.With respect to the underlying master equation the method corresponds to an exact formal solution in terms of a Dyson series. Different algorithms can be derived from the method and their power is demonstrated for a set of interacting two-level systems that are periodically driven by an external field.
  • We present a new method for simulating Markovian jump processes with timedependent transitions rates, which avoids the transformation of random numbers by inverting time integrals over the rates. It relies on constructing a sequence of random time points from a homogeneous Poisson process, where the system under investigation attempts to change its state with certain probabilities.With respect to the underlying master equation the method corresponds to an exact formal solution in terms of a Dyson series. Different algorithms can be derived from the method and their power is demonstrated for a set of interacting two-level systems that are periodically driven by an external field. (en)
Title
  • Attempt time Monte Carlo: An alternative for simulation of stochastic jump processes with time-dependent transition rates
  • Attempt time Monte Carlo: An alternative for simulation of stochastic jump processes with time-dependent transition rates (en)
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  • Attempt time Monte Carlo: An alternative for simulation of stochastic jump processes with time-dependent transition rates
  • Attempt time Monte Carlo: An alternative for simulation of stochastic jump processes with time-dependent transition rates (en)
skos:notation
  • RIV/00216208:11320/11:10104731!RIV12-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S, Z(MSM0021620835)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 187431
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/11:10104731
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Computational methods in statistical physics and nonlinear dynamics; Monte Carlo methods (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • FR - Francouzská republika
http://linked.open...ontrolniKodProRIV
  • [40EFA8A45F09]
http://linked.open...i/riv/nazevZdroje
  • Europhysics Letters
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 93
http://linked.open...iv/tvurceVysledku
  • Chvosta, Petr
  • Einax, M.
  • Holubec, Viktor
  • Maass, P.
http://linked.open...ain/vavai/riv/wos
  • 000287849300003
http://linked.open...n/vavai/riv/zamer
issn
  • 0295-5075
number of pages
http://bibframe.org/vocab/doi
  • 10.1209/0295-5075/93/40003
http://localhost/t...ganizacniJednotka
  • 11320
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