Semantic Scholar Open Access 2002 9 sitasi

Analytic study of the urn model for separation of sand.

G. M. Shim B. Park Hoyun Lee

Lihat Sumber DOI

Abstrak

We present an analytic study of the urn model for separation of sand recently introduced by Lipowski and Droz [Phys. Rev. E 65, 031307 (2002)]. We solve analytically the master equation and the first-passage problem. The analytic results confirm the numerical results obtained by Lipowski and Droz. We find that the stationary probability distribution and the shortest one among the characteristic times are governed by the same free energy. We also analytically derive the form of the critical probability distribution on the critical line, which supports their results obtained by numerically calculating Binder cumulants (A. Lipowski and M. Droz, e-print cond-mat/0201472).

Topik & Kata Kunci

Medicine Mathematics Physics

Penulis (3)

G. M. Shim

B. Park

Hoyun Lee

Format Sitasi

APA MLA BibTeX

Shim, G.M., Park, B., Lee, H. (2002). Analytic study of the urn model for separation of sand.. https://doi.org/10.1103/PhysRevE.67.011301

Akses Cepat

Lihat di Sumber doi.org/10.1103/PhysRevE.67.011301

Informasi Jurnal

Tahun Terbit: 2002
Bahasa: en
Total Sitasi: 9×
Sumber Database: Semantic Scholar
DOI: 10.1103/PhysRevE.67.011301
Akses: Open Access ✓