Condensation in the Backgammon model

Abstract

We analyse the properties of a very simple ``balls-in-boxes'' model which can exhibit a phase transition between a fluid and a condensed phase, similar to behaviour encountered in models of random geometries in one, two and four dimensions. This model can be viewed as a generalisation of the backgammon model introduced by Ritort as an example of glassy behaviour without disorder.

14 pages, requires Latex2e + elsart.cls (supplied). 2 figures included as eps files. (some minor errors had been corrected and additional references added)

References in corpus (8)

• Power Laws are Logarithmic Boltzmann Laws
• Glassiness in a model without energy barriers
• Focusing on the Fixed Point of 4D Simplicial Gravity
• Further evidence that the transition of 4D dynamical triangulation is 1st order
• Appearence of Mother Universe and Singular Vertices in Random Geometries
• Phase transition in fluctuating branched geometry
• Singular Vertices and the Triangulation Space of the D-sphere
• DYNAMICAL SOLUTION OF A MODEL WITHOUT ENERGY BARRIERS

Cited by in corpus (93)

• Critical phenomena in complex networks
• Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
• Sharp transition towards shared vocabularies in multi-agent systems
• Nonequilibrium phase transition in a model for social influence
• Jamming transition in a homogeneous one-dimensional system: the Bus Route Model
• A non-perturbative Lorentzian path integral for gravity
• Condensation in the zero range process: stationary and dynamical properties
• The Nature of the Condensate in Mass Transport Models
• Canonical Analysis of Condensation in Factorised Steady State
• Wealth Condensation in Pareto Macro-Economies
• Factorised Steady States in Mass Transport Models
• Uncorrelated Random Networks
• Dynamics of the condensate in zero-range processes
• Phase Transition in Dually Weighted Colored Tensor Models
• Metric structure of random networks
• Principles of statistical mechanics of random networks
• A simple stochastic model for the dynamics of condensation
• Exact Solution for the Time Evolution of Network Rewiring Models
• Condensation and Extreme Value Statistics
• Condensation in nongeneric trees
• Phase diagram of the mean field model of simplicial gravity
• Nonequilibrium dynamics of urn models
• Exact Solutions for Network Rewiring Models
• A statistical mechanics approach for scale-free networks and finite-scale networks
• From urn models to zero-range processes: statics and dynamics
• Finite size scaling of the balls in boxes model
• 4d Simplicial Quantum Gravity Interacting with Gauge Matter Fields
• Condensation in stochastic mass transport models: beyond the zero-range process
• Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder
• Tuning the shape of the condensate in spontaneous symmetry breaking
• Zero-Range Processes with Multiple Condensates: Statics and Dynamics
• Critical phase in non-conserving zero-range processes and equilibrium networks
• Bethe ansatz solution of discrete time stochastic processes with fully parallel update
• Condensation in zero-range processes on inhomogeneous networks
• Exact solution of the zero-range process: fundamental diagram of the corresponding exclusion process
• Spacetime condensation in (2+1)-dimensional CDT from a Horava-Lifshitz minisuperspace model
• Four-dimensional CDT with toroidal topology
• Organization of complex networks without multiple connections
• Large deviations, condensation, and giant response in a statistical system
• Mass condensation in one dimension with pair-factorized steady states
• Correlation and response in the Backgammon model: the Ehrenfest legacy
• Emergence of jams in the generalized totally asymmetric simple exclusion process
• Structure of the stationary state of the asymmetric target process
• Condensation for random variables conditioned by the value of their sum
• Pair-factorized steady states on arbitrary graphs
• Condensation Transition in Polydisperse Hard Rods
• Zero-range processes with saturated condensation: the steady state and dynamics
• Finite Size Fluctuations in Interacting Particle Systems
• Lattice Gravity and Random Surfaces
• Statistical Mechanics of the Chinese Restaurant Process: lack of self-averaging, anomalous finite-size effects and condensation
• Development and regression of a large fluctuation
• Dynamics of condensation in growing complex networks
• Condensation and extremes for a fluctuating number of independent random variables
• Condensation Transitions in a One-Dimensional Zero-Range Process with a Single Defect Site
• Power laws in zero-range processes on random networks
• Participation ratio for constraint-driven condensation with superextensive mass
• Probability distributions with singularities
• Condensation and topological phase transitions in a dynamical network model with rewiring of the links
• Replica analysis of a preferential urn model
• Collapse of 4D random geometries
• Balls-in-boxes condensation on networks
• Quantum widening of CDT universe
• Phase Structure of Dynamical Triangulation Models in Three Dimensions
• Steady states in a non-conserving zero-range process with extensive rates as a model for the balance of selection and mutation
• Random Surfaces and Lattice Gravity
• Dynamics of Wealth Inequality
• Exotic trees
• Condensation phenomena with distinguishable particles
• Rényi Entropy of Zeta-Urns
• On Random Allocation Models in the Thermodynamic Limit
• The Weak-Coupling Limit of Simplicial Quantum Gravity
• Approaching the thermodynamic limit in equilibrated scale-free networks
• Ageing of complex networks
• Condensation and equilibration in an urn model
• Condensation phase transition in nonlinear fitness networks
• Balls in Boxes and Quantum Gravity
• Appearance of vertices of infinite order in a model of random trees
• Correlation functions and critical behaviour on fluctuating geometries
• Partition function zeros of zeta-urns
• Generalized Young measures and the hydrodynamic limit of condensing zero range processes
• Finite-size effects in dynamics of zero-range processes
• Free energy of disordered urn models in the canonical ensemble
• Tsallis mapping in growing complex networks with fitness
• Simply generated trees, conditioned Galton--Watson trees, random allocations and condensation
• Partition Function Zeros of Paths and Normalization Zeros of ASEPS
• Long-range disassortative correlations in generic random trees
• Yang-Lee zeros for real-space condensation
• Emergence of dynamic phases in the presence of different kinds of open boundaries in stochastic transport with short-range interactions
• A simple non-equilibrium, statistical-physics toy model of thin-film growth
• Stock-flow consistent macroeconomic model with nonuniform distributional constraint
• Landau Theory of Causal Dynamical Triangulations
• Using massless fields for observing black hole features in the collapsed phase of Euclidean dynamical triangulations
• Condensation transition in a conserved generalized interacting zero-range process