Condensates in Driven Aggregation Processes
| dc.creator | Ben-Naim, E. | |
| dc.creator | Krapivsky, P. L. | |
| dc.date | 2006-08-23 | |
| dc.date.accessioned | 2026-07-07T07:39:19Z | |
| dc.date.available | 2026-07-07T07:39:19Z | |
| dc.description | We investigate aggregation driven by mass injection. In this stochastic process, mass is added with constant rate r and clusters merge at a constant total rate 1, so that both the total number of clusters and the total mass steadily grow with time. Analytic results are presented for the three classic aggregation rates K_{i,j} between clusters of size i and j. When K_{i,j}=const, the cluster size distribution decays exponentially. When K_{i,j} (i+j) or K_{i,j} (ij), there are two phases: (i) a condensate phase with a condensate containing a finite fraction of the mass in the system as well as finite clusters, and (ii) a cluster phase with finite clusters only. For K_{i,j} (i+j), the cluster size distribution, c_k, has a power-law tail, c_k~k^{-gamma} in either phase. The exponent is a non-monotonic function of the injection rate: gamma=r/(r-1) in the condensate phase, r<2, and γ=r in the cluster phase, r>2. | |
| dc.description | 8 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0608519 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0608519 | |
| dc.identifier | Phys. Rev. E 75, 011103 (2007) | |
| dc.identifier | doi:10.1103/PhysRevE.75.011103 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121407 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Condensates in Driven Aggregation Processes | |
| dc.type | text |