| Role of an intermediate state in homogeneous nucleation. | |
| | |
MedLine Citation:
|
PMID: 17280047 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
|
We explore the role of an intermediate state (phase) in homogeneous nucleation by examining the decay process through a double-humped potential barrier. We analyze the one-dimensional Fokker-Planck (FP) equations with the fourth- and sixth-order Landau potentials. In the low-temperature case, we apply the WKB method to the FP equation and obtain an analytic expression for the decay rate which is accurate for a wide range of depth and curvature of the middle well. In the case of a deep middle well, it reduces to an extended Kramers formula, in which the barrier height in the original formula is replaced by the arithmetic mean height of the higher (outer) and lower (inner) barriers, and the curvature of the initial well in the original one is replaced by the geometric mean curvature of the initial and intermediate wells. In the case of a shallow middle well, the Kramers escape rate is evaluated also within the standard framework of the mean-first-passage-time problem, whose result is consistent with our WKB analysis. Criteria for enhancement of the decay rate are revealed. |
| | |
Authors:
|
Takaaki Monnai; Ayumu Sugita; Katsuhiro Nakamura |
Related Documents
:
|
15027547 - A selection of some of dr. mccrone's high and low profile cases in the forensic analysi... 12224747 - The quality of stakeholder-based decisions. 6927007 - The nature of the oedipus complex in the dora case. 11301037 - A unified theory of enzyme kinetics based upon the systematic analysis of the variation... 7496717 - Case report: malignant fibrous histiocytoma following radiation therapy of fibrous dysp... 20395517 - A single tube, four-color flow cytometry assay for evaluation of zap-70 and cd38 expres... |
Publication Detail:
|
Type: Journal Article Date: 2006-12-27 |
Journal Detail:
|
Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 74 ISSN: 1539-3755 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2006 Dec |
Date Detail:
|
Created Date: 2007-02-06 Completed Date: 2007-07-09 Revised Date: - |
Medline Journal Info:
|
Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
|
Languages: eng Pagination: 061116 Citation Subset: - |
Affiliation:
|
Department of Applied Physics, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan. monnai@suou.waseda.jp |
Export Citation:
|
APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
|
|
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
Previous Document: Exactly solvable cellular automaton traffic jam model.
Next Document: Validation of the Jarzynski relation for a system with strong thermal coupling: an isothermal ideal ...