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Frequency and Distribution of Crossovers in Caenorhabditis elegans Meiosis by SNP Genotyping using Real-time PCR
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Crossover behaviors in branching annihilating attracting walk
1The Catholic University of Korea, Bucheon 14662, Republic of Korea.
Physical Review. E
|June 25, 2020
Summary
We introduce a new model, the branching annihilating attracting walk (BAAW), which exhibits unique critical behavior. Its non-DI critical exponents with infinite attraction range stem from long-range interactions.
Area of Science:
- Statistical Physics
- Complex Systems
Background:
- Branching annihilating particle systems are crucial for modeling phenomena like population dynamics and epidemic spread.
- Understanding universality classes and critical exponents is key to classifying phase transitions in these systems.
Purpose of the Study:
- To introduce and investigate the critical behavior of a one-dimensional branching annihilating attracting walk (BAAW) model.
- To determine if the BAAW model belongs to the directed Ising (DI) universality class.
Main Methods:
- Extensive Monte Carlo simulations were employed to study the BAAW with four offspring.
- Analysis of critical exponents and crossover behaviors was performed for varying ranges of attraction.
Main Results:
- The BAAW with an infinite range of attraction exhibits critical exponents distinct from the DI universality class.
- Results align with recent observations on similar long-range interacting systems.
- Finite ranges of attraction lead to crossover behavior, with the BAAW eventually conforming to the DI class.
Conclusions:
- The long-range nature of attraction is identified as the cause of the non-DI critical behavior in the BAAW with infinite attraction range.
- This study highlights the significant impact of interaction range on universality in particle systems.
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