A first order phase transition in the threshold <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>θ</mml:mi><mml:mo>≥</mml:mo><mml:mn>2</mml:mn></mml:math> contact process on random <mml:math altimg="si2.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>r</mml:mi></mml:math>-regular graphs and <mml:math altimg="si3.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>r</mml:mi></mml:math>-trees
|
journal
|
February 2013 |
Phase transitions in the quadratic contact process on complex networks
|
journal
|
June 2013 |
Efficient simulation of infinite tree tensor network states on the Bethe lattice
|
journal
|
November 2012 |
Threshold θ ≥ 2 contact processes on homogeneous trees
|
journal
|
July 2007 |
Extended families of critical and stationary droplets for nonequilibrium phase transitions in spatially discrete bistable systems
|
journal
|
February 2020 |
From atomistic lattice-gas models for surface reactions to hydrodynamic reaction-diffusion equations
|
journal
|
March 2002 |
Kinetic phase transitions in catalytic reaction models
|
journal
|
November 1991 |
Universality classes in nonequilibrium lattice systems
|
journal
|
August 2004 |
Critical phenomena in complex networks
|
journal
|
October 2008 |
Nonequilibrium Model for the Contact Process in an Ensemble of Constant Particle Number
|
journal
|
June 2001 |
Fluctuation-Induced Transitions in a Bistable Surface Reaction: Catalytic CO Oxidation on a Pt Field Emitter Tip
|
journal
|
March 1999 |
Quadratic Contact Process: Phase Separation with Interface-Orientation-Dependent Equistability
|
journal
|
February 2007 |
Survival of Threshold Contact Processes
|
journal
|
January 1997 |
Fluctuations and critical phenomena in catalytic CO oxidation on nanoscale Pt facets
|
journal
|
April 2001 |
Dynamics of Lattice Differential Equations
|
journal
|
September 1996 |
Cayley Trees and Bethe Lattices: A concise analysis for mathematicians and physicists
|
journal
|
June 2012 |
Chemical reaction models for non-equilibrium phase transitions
|
journal
|
April 1972 |
Boundary-field-driven control of discontinuous phase transitions on hyperbolic lattices
|
journal
|
August 2016 |
Investigation of the first-order phase transition in the A - reaction model using a constant-coverage kinetic ensemble
|
journal
|
October 1992 |
Nonequilibrium Phase Transitions in Lattice Models
|
book
|
January 2009 |
Stochastic Spatial Models
|
journal
|
January 1999 |
Schloegl's second model for autocatalysis on hypercubic lattices: Dimension dependence of generic two-phase coexistence
|
journal
|
April 2012 |
Correlated percolation: exact Bethe lattice analyses
|
journal
|
December 1987 |
Propagation failure of traveling waves in a discrete bistable medium
|
journal
|
May 1998 |
Discontinuous non-equilibrium phase transition in a threshold Schloegl model for autocatalysis: Generic two-phase coexistence and metastability
|
journal
|
April 2015 |
Discontinuous Phase Transitions in Nonlocal Schloegl Models for Autocatalysis: Loss and Reemergence of a Nonequilibrium Gibbs Phase Rule
|
journal
|
September 2018 |
Realistic multisite lattice-gas modeling and KMC simulation of catalytic surface reactions: Kinetics and multiscale spatial behavior for CO-oxidation on metal (100) surfaces
|
journal
|
December 2013 |
Generic two-phase coexistence, relaxation kinetics, and interface propagation in the quadratic contact process: Analytic studies
|
journal
|
January 2008 |
Schloegl’s second model for autocatalysis with particle diffusion: Lattice-gas realization exhibiting generic two-phase coexistence
|
journal
|
February 2009 |
Traveling and Pinned Fronts in Bistable Reaction-Diffusion Systems on Networks
|
journal
|
September 2012 |
Random and cooperative sequential adsorption
|
journal
|
October 1993 |
Fluctuations and bistability in a “hybrid” atomistic model for CO oxidation on nanofacets: An effective potential analysis
|
journal
|
October 2002 |
Hybrid treatment of spatio‐temporal behavior in surface reactions with coexisting immobile and highly mobile reactants
|
journal
|
December 1995 |