File
Authors
Tsutsumi, Harusa Platform for Community-Based Research and Education (CoRE), Tottori University / Faculty of Agriculture, Tottori University Researchers DB KAKEN
Haga, Hirokazu Faculty of Agriculture, Tottori University Researchers DB KAKEN
Fujimoto, Takaaki Faculty of Agriculture, Tottori University Researchers DB KAKEN
Keywords
Fourier spectrum
Random matrix
Information statistical physics
Helmholtz free energy
Entropy
Abstract
Wood is a highly heterogeneous material characterized by a number of properties that vary significantly among samples. Even in woods of the same density, substantial differences in properties show up depending on the distribution pattern of their cell walls. With the aim of deep understanding of the wood variation, we examine this pattern from the physical perspectives using samples of the same density but with significantly different shrinkages. The power spectrum, which represents the regularity of the occurrence of cell walls or lumen, was obtained through Fourier transform processing of micrographs of the transverse sections of wood samples. The set of eigenvalues calculated from the variance–covariance matrix comprising the spectra is identified with a Hamiltonian representing the energy eigenstate of the wood. The cell wall distribution can then be analyzed from within thermodynamics and statistical mechanics. The eigenvalues from the images of latewood were widely distributed compared with those from earlywood. The first eigenvalue is equivalent to the Helmholtz free energy, and thus the high-shrinkage samples showed large Helmholtz free energy because of the high presence of latewood. The Shannon entropy calculated from the probability associated with each energy eigenstate was larger in images of earlywood than latewood. That is, low-shrinkage samples have a more homogeneous structure than high-shrinkage samples. These results were strongly consistent with observations from micrographs and previous knowledge of the physical properties of woods. The physical approaches proposed in this study is independent of the origin of the data and therefore has a wide application.
Publisher
Springer
Content Type
Journal Article
Link
ISSN
14350211
EISSN
16114663
Journal Title
JOURNAL OF WOOD SCIENCE
Volume
66
Issue
1
Start Page
58
Published Date
2020-09-01
Publisher-DOI
Text Version
Publisher
Rights
(C) The Author(s) 2020. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Citation
Tsutsumi Harusa, Haga Hirokazu, Fujimoto Takaaki, et al. Energetics of the distribution of cell wall in wood based on an eigenvalue analysis. JOURNAL OF WOOD SCIENCE. 2020. 66(1). doi:10.1186/s10086-020-01908-w
Department
Faculty of Agriculture/Graduate School of Agriculture
Language
English
Web of Science Key ut
WOS:000565207400001