Tuning the shape of the condensate in spontaneous symmetry breaking

Abstract

We investigate what determines the shape of a particle condensate in situations when it emerges as a result of spontaneous breaking of translational symmetry. We consider a model with particles hopping between sites of a one-dimensional grid and interacting if they are at the same or at neighboring nodes. We predict the envelope of the condensate and the scaling of its width with the system size for various interaction potentials and show how to tune the shape from a delta-peak to a rectangular or a parabolic-like form.

4 pages, 2 figures, major revision, the title has been changed

References in corpus (6)

• Statistical Physics of Vehicular Traffic and Some Related Systems
• Connectivity of Growing Random Networks
• Phase Transitions in one-dimensional nonequilibrium systems
• Instability driven fragmentation of nanoscale fractal islands
• Interaction driven real-space condensation
• Factorised Steady States in Mass Transport Models on an Arbitrary Graph

Cited by in corpus (24)

• Symmetry breaking of spatial Kerr solitons in fractional dimension
• Condensation in stochastic mass transport models: beyond the zero-range process
• Explosive condensation in a mass transport model
• Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder
• Spacetime condensation in (2+1)-dimensional CDT from a Horava-Lifshitz minisuperspace model
• Mass condensation in one dimension with pair-factorized steady states
• Occupation Probabilities and Fluctuations in the Asymmetric Simple Inclusion Process
• PT-symmetry breaking in resonant tunneling heterostructures
• Quantum widening of CDT universe
• Conditioned random walks and interaction-driven condensation
• Area distribution and the average shape of a Lévy bridge
• Numerical survey of the tunable condensate shape and scaling laws in pair-factorized steady states
• Particle Condensation in Pair Exclusion Process
• Cluster-factorized steady states in finite range processes
• Zero range and finite range processes with asymmetric rate functions
• Condensation in models with factorized and pair-factorized stationary states
• Open boundary conditions in stochastic transport processes with pair-factorized steady states
• Boundary drive induced formation of aggregate condensates in stochastic transport with short-range interactions
• Dynamics of condensate formation in stochastic transport with pair-factorized steady states: Nucleation and coarsening time scales
• A simple non-equilibrium, statistical-physics toy model of thin-film growth
• Emergence of dynamic phases in the presence of different kinds of open boundaries in stochastic transport with short-range interactions
• Condensation and Clustering in the Driven Pair Exclusion Process
• Landau Theory of Causal Dynamical Triangulations
• Spontaneous Symmetry Breaking In Nonlinear Binary Periodic Systems