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[Fizinfo] Szemináriumok - Seminars: Shengfeng Deng

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  • From: Szeminárium koordinátor <sem-admin AT>
  • To: SZFI Szeminárium <seminar AT>,Fizinfo <fizinfo AT>
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  • Subject: [Fizinfo] Szemináriumok - Seminars: Shengfeng Deng
  • Date: Thu, 9 Sep 2021 06:00:01 +0200 (CEST)
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SZFI SeminarShengfeng DengCentre for Energy ResearchCoupled two-species model
for the pair contact process with diffusionTuesday, 14 September 2021, 10:00,
pair contact process with diffusion (PCPD) defined by the binary reactions B
+ B → B + B + B, B + B → ∅ and diffusive particle spreading exhibits an
unusual active to absorbing phase transition whose universality class has
long been disputed. Such reactions may also be related to certain catalytic
reactions. Multiple studies have indicated that an explicit account of
particle pair degrees of freedom may be required to properly capture this
system’s effective long-time, large-scale behavior. We introduce a
two-species representation for the PCPD in which single particles B and
particle pairs A are dynamically coupled according to the stochastic reaction
processes B + B → A, A → A + B, A → ∅, and A → B + B, with each particle type
diffusing independently. Mean-field analysis reveals that the phase
transition of this model is driven by competition and balance between the two
species. We employ Monte Carlo simulations in one, two, and three dimensions
to demonstrate that this model consistently captures the pertinent features
of the PCPD. In the inactive phase, A particles rapidly go extinct,
effectively leaving the B species to undergo pure diffusion-limited pair
annihilation kinetics B + B → ∅. At criticality, both A and B densities decay
with the same exponents as the corresponding order parameters of the original
PCPD, and display mean-field scaling above the upper critical dimension dc =
2. In one dimension, the critical exponents for the B species obtained from
seed simulations also agree well with previously reported exponent value
ranges. We demonstrate that the scaling properties of consecutive particle
pairs in the PCPD are identical with that of the A species in the coupled
model. This two-species picture resolves the conceptual difficulty for seed
simulations in the original PCPD and naturally introduces multiple length
scales and time scales to the system, which are also the origin of strong
corrections to scaling. The extracted moment ratios from our simulations
indicate that our model displays the same temporal crossover behavior as the
PCPD, which further corroborates its full dynamical equivalence with our
coupled model.&nbsp;Minden érdeklődőt szívesen látunk! - Everyone is welcome
to attend.Róbert Juhászsem-admin AT

  • [Fizinfo] Szemináriumok - Seminars: Shengfeng Deng, Szeminárium koordinátor, 09/09/2021

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