We show that the thermodynamic entropy density is proportional to the largest Lyapunov exponent (LLE) of a discrete hydrodynamical system, a deterministic two-dimensional lattice gas automaton. The definition of the LLE for cellular automata is based on the concept of Boolean derivatives and is formally equivalent to that of continuous dynamical systems. This relation is justified using a Markovian model. In an irreversible process with an initial density difference between both halves of the system, we find that Boltzmann's H function is linearly related to the expansion factor of the LLE although the latter is more sensitive to the presence of traveling waves.
Download full-text PDF |
Source |
---|---|
http://dx.doi.org/10.1103/PhysRevE.79.041115 | DOI Listing |
Sci Total Environ
January 2025
Inner Mongolia Key Laboratory of Advanced Ceramic Material and Devices, Baotou 014010, China.
Selective recovery of rare earth elements (REEs) from environmental waste is strategically significant. Herein, Ce(III) imprinted EDTA modified chitosan-magnetic graphene oxide (IIP-EDTA-CS-MGO) was prepared for selective recovery of Ce(III). Furthermore, adsorption mechanism was clarified based on versatile adsorption fittings and spectroscopic tests.
View Article and Find Full Text PDFDalton Trans
January 2025
School of Chemistry, UNSW Sydney, NSW 2052, Australia.
In my proposed mechanism of Mo-nitrogenase there are two roles for separate N molecules. One N diffuses into the reaction zone between Fe2 and Fe6 where a strategic gallery of H atoms can capture N to form the Fe-bound HNNH intermediate which is then progressively hydrogenated through intermediates containing HNNH, NH and NH entities and then two NH in sequence. The second N can be parked in an N-pocket about 3.
View Article and Find Full Text PDFJ Chem Phys
January 2025
Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring 9, D-70569 Stuttgart, Germany.
Effective potential methods, obtained by applying a quantum correction to a classical pair potential, are widely used for describing the thermophysical properties of fluids with mild nuclear quantum effects. In case of strong nuclear quantum effects, such as for liquid hydrogen and helium, the accuracy of these quantum corrections deteriorates significantly, but at present no simple alternatives are available. In this work, we solve this issue by developing a new, three-parameter corresponding-states principle that remains applicable in the regions of the phase diagram where quantum effects become significant.
View Article and Find Full Text PDFInt J Thermophys
January 2024
Material Measurement Laboratory, Applied Chemicals and Materials Division, National Institute of Standards and Technology, Boulder, CO 80305, USA.
The thermal conductivity of liquid -1,2-dichloroethene (R-1130(E)) was measured at temperatures ranging from 240 K to 340 K and pressures up to 25 MPa using a transient hot-wire instrument. A total of 447 thermal conductivity data points were measured along six isotherms. Each isotherm includes data at nine pressures, which were chosen to be at equal density increments starting at a pressure of 0.
View Article and Find Full Text PDFPLoS One
January 2025
Department of Artificial Intelligence and Data Science, Sejong University, South Korea.
The adoption of Financial Technology (FinTech), along with the enhancement of Human Resource (HR) competencies, service innovation, and firm growth, plays a crucial role in the development of the banking sector. Despite their importance, obtaining reliable results is often challenging due to the complex, high-dimensional correlations among various features that affect the industry. To address this issue, this research introduces a hybrid Multi-Criteria Decision-Making (MCDM) model that integrates the Entropy-Weighted Method (EWM) and the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS).
View Article and Find Full Text PDFEnter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!