In this paper, we study an Ising-Vannimenus model on a fourth-order semi-infinite Cayley tree with one-level next-nearest-neighbor interactions. We construct the set of translation-invariant Gibbs measures corresponding to the model satisfying Kolmogorov consistency conditions. We prove the existence of the phase transition under specific conditions on the coupling constants and temperature. Numerical examples are presented to clarify the role of the added one-level interactions and results.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC9958442 | PMC |
| http://dx.doi.org/10.1016/j.heliyon.2023.e13418 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Connecting Dynamics and Thermodynamics in Polymer-Resin Cured Systems.
Polymers (Basel)
December 2024
Centro de Física de Materiales (CSIC-UPV/EHU)-Materials Physics Center (MPC), P. M. de Lardizábal 5, 20018 San Sebastián, Spain.
This work connects the calorimetric responses of different rubber-resin blends with varying resin contents with their alpha relaxation dynamics. We used differential scanning calorimetry and broadband dielectric spectroscopy to characterize the calorimetric and dielectric responses of styrene-butadiene, polybutadiene, and polyisoprene with different resin contents. To model the results, we used the Gordon-Taylor equation combined with an extension of the Adam-Gibbs approach.
View Article and Find Full Text PDFApplications of Entropy in Data Analysis and Machine Learning: A Review.
Entropy (Basel)
December 2024
Centro de Investigación Operativa, Universidad Miguel Hernández de Elche, 03202 Elche, Spain.
Since its origin in the thermodynamics of the 19th century, the concept of entropy has also permeated other fields of physics and mathematics, such as Classical and Quantum Statistical Mechanics, Information Theory, Probability Theory, Ergodic Theory and the Theory of Dynamical Systems. Specifically, we are referring to the classical entropies: the Boltzmann-Gibbs, von Neumann, Shannon, Kolmogorov-Sinai and topological entropies. In addition to their common name, which is historically justified (as we briefly describe in this review), another commonality of the classical entropies is the important role that they have played and are still playing in the theory and applications of their respective fields and beyond.
View Article and Find Full Text PDFEffect of gabapentin on solution surface properties and micellization behavior of betaine-based surfactant ionic liquids.
Sci Rep
January 2025
Department of Physical Chemistry, University of Tabriz, Tabriz, Iran.
Article Synopsis
- The study examines how the surface properties and electrical conductivity of betaine-based ionic liquids change when mixed with different concentrations of gabapentin at a specific temperature.
- The findings show that as gabapentin concentration and the length of the alkyl chain increase, surface tension decreases, indicating stronger interactions.
- Additionally, micellization parameters improve with longer chains, while conductivity decreases at higher gabapentin concentrations due to increased viscosity and ion interactions.
Quantum memory at nonzero temperature in a thermodynamically trivial system.
Nat Commun
January 2025
Department of Physics and Center for Theory of Quantum Matter, University of Colorado, Boulder, CO, USA.
Passive error correction protects logical information forever (in the thermodynamic limit) by updating the system based only on local information and few-body interactions. A paradigmatic example is the classical two-dimensional Ising model: a Metropolis-style Gibbs sampler retains the sign of the initial magnetization (a logical bit) for thermodynamically long times in the low-temperature phase. Known models of passive quantum error correction similarly exhibit thermodynamic phase transitions to a low-temperature phase wherein logical qubits are protected by thermally stable topological order.
View Article and Find Full Text PDFFREDA: A Web Application for the Processing, Analysis, and Visualization of Fourier-Transform Mass Spectrometry Data.
Rapid Commun Mass Spectrom
April 2025
Biological Sciences Division, University of Chicago, Illinois, Chicago, USA.
Rationale: The high-resolution measurement capability of Fourier-transform mass spectrometry (FT-MS) has made it a necessity for exploring the molecular composition of complex organic mixtures, like soil, plant, aquatic, and petroleum samples. This demand has driven a need for informatics tools to explore and analyze FT-MS data in a robust and reproducible manner.
Methods: FREDA is an interactive web application developed to enable spectrometrists to format, process, and explore their FT-MS data without the need for statistical programming expertise.
Want AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!