Published October 7, 2005
| Version v1
Journal article
Forces in square lattice directed paths in a wedge
Creators
- 1. Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3 (Canada)
Description
A square lattice directed path confined to a wedge with vertex angle α exerts an entropic force Fα on the wedge. We show that this is a repulsive force of magnitude Fα = [(1 + cot2α)/(1 + cotα)2] log(cotα), if 0≤α<π/4 and Fα = 0, if π/4 ≤α≤π/2. This force is determined by examining the combinatorial properties of the directed path and by determining the exact entropic contribution to the free energy in the limit as the path length goes to infinite
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/8493/a5_40_002.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/38/8493/a5_40_002.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/40/002;
- PII
- S0305-4470(05)01969-4;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 40
- Journal Page Range
- p. 8493-8503
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36098619
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EXACT SOLUTIONS; FREE ENERGY; GRAPH THEORY; LENGTH; MATHEMATICAL LOGIC; TETRAGONAL LATTICES
- Descriptors DEC
- CRYSTAL LATTICES; CRYSTAL STRUCTURE; DIMENSIONS; ENERGY; MATHEMATICAL SOLUTIONS; MATHEMATICS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES