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Simplest nonequilibrium phase transition into an absorbing state
A C Barato1, Juan A Bonachela, C E Fiore
1Universität Würzburg, Fakultät für Physik und Astronomie, 97074 Würzburg, Germany.
Summary
Particle models with a boundary-induced absorbing phase transition were analyzed. Most models exhibit nontrivial critical exponents, indicating a distinct universality class, unlike a specific solvable bosonic variant.
Area of Science:
- Statistical Physics
- Condensed Matter Physics
- Complex Systems
Background:
- Particle models with boundary-induced absorbing phase transitions are crucial for understanding non-equilibrium systems.
- Previous studies by Deloubrière and van Wijland, and Barato and Hinrichsen laid the groundwork for this research area.
Purpose of the Study:
- To investigate various particle models exhibiting boundary-induced absorbing state phase transitions.
- To identify the universality class and critical exponents of these models.
- To explore the connection between these systems and non-Markovian processes.
Main Methods:
- Analysis of one-dimensional particle systems with a boundary site for creation/annihilation and a diffusive bulk.
- Examination of different model variants to identify distinct behaviors.
- Comparison of critical exponents with mean-field predictions.
Main Results:
- Most studied particle models display nontrivial critical behavior, deviating from mean-field values.
- A specific exactly solvable bosonic variant shows a discontinuous transition with trivial exponents.
- The findings suggest these models belong to a distinct universality class.
Conclusions:
- The majority of boundary-induced absorbing state models represent a unique universality class.
- The study highlights the diverse behaviors within these particle systems, distinguishing them from simpler models.
- A link to (0+1)-dimensional non-Markovian processes was established.
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