1998/06/30 by Satya N. Majumdar, Supriya Krishnamurthy, Mustansir Barma · 6 citations
Chemistry · Mathematics · Physics and Astronomy · #Adsorption #Chemical physics #Chemistry #Complex Network Analysis Techniques #Desorption #Dissociation (chemistry) #Mass distribution #Mathematics #Non-equilibrium thermodynamics #Phase transition #Physical chemistry #Physics #Power law #Quantum mechanics #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.81.3691
published as Phys. Rev. Lett. 81, 3691 (1998) · Major revision of text
openalex publication_date 1998/10/26 · arxiv created 1999/11/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study nonequilibrium phase transitions in a mass-aggregation model which allows for diffusion, aggregation on contact, dissociation, adsorption, and desorption of unit masses. We analyze two limits explicitly. In the first case mass is locally conserved, whereas in the second case local conservation is violated. In both cases the system undergoes a dynamical phase transition in all dimensions. In the first case, the steady state mass distribution decays exponentially for large mass in one phase, and develops an infinite aggregate in addition to a power-law mass decay in the other phase. In the second case, the transition is similar except that the infinite aggregate is missing.