Article
Physics, Fluids & Plasmas
Jonathan Asher Pachter, Ken A. Dill
Summary: Important models in nonequilibrium statistical physics often make use of a commonly used, but frequently overlooked, near-equilibrium approximation. However, this approximation fails to hold in far-from-equilibrium systems. A more principled approach would involve deriving corrections for rate fluctuations from an underlying dynamical model, rather than assuming a particular form. Applying maximum caliber as the underlying principle, we derive such corrections for non-equilibrium processes, particularly important for heavily driven systems.
Article
Materials Science, Multidisciplinary
Victor Jesus Amores, Khanh Nguyen, Francisco Javier Montans
Summary: This study questions the network affinity assumption in modeling chain orientations under polymer deformations, proposing a free-fluctuating network assumption instead. By utilizing this new assumption, more accurate predictions for polymer behaviors can be obtained.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2021)
Article
Thermodynamics
Andrea Mentrelli, Tommaso Ruggeri
Summary: An investigation on the features of the shock structure solution of the 13-moment system of extended thermodynamics with a second-order closure based on the maximum entropy principle is presented. The analysis shows that adopting a second-order closure results in a significantly reduced subshock strength and better agreement with results obtained with the kinetic theory approach. Preliminary results for the 14-moment system of a polyatomic gas are also presented.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2021)
Article
Mathematics
Yuri A. Dubnov, Alexandr V. Boulytchev
Summary: The work focuses on developing a maximum entropy estimation method with soft randomization to restore the parameters of probabilistic mathematical models. By adding regularization to the entropy function, the optimization problem can be simplified, and the learning process can be accelerated. This method can be used for problems with unspecified types of measurement noise.
Article
Engineering, Geological
Hongbo Zhao, Shaojun Li, Changxing Zhu
Summary: This study adopted fractional moment and multiplicative dimensional reduction method to estimate the uncertainty in a tunnel excavated in rock. The proposed method based on maximum entropy principle and Excel Solver optimization technology efficiently estimates the probability distribution of tunnel response. The results show that the proposed uncertainty analysis method is robust, efficient and precise for complex practical engineering systems encountered in rock engineering.
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES
(2021)
Article
Computer Science, Software Engineering
Ting Li, Can Zhang
Summary: Database technology has rapidly developed in recent years, with data mining technology successfully applied in various industries. This paper presents a filtering method for high-quality customer system based on maximum entropy, comparing the filtering performance of different feature sets.
SCIENTIFIC PROGRAMMING
(2022)
Article
Mathematics, Applied
Andrea Mentrelli
Summary: When using higher order closures, the strength of the subshock in the shock structure is significantly reduced for large Mach numbers compared to first order closure, leading to a better agreement with experimental results in the overall profile of the shock structure solution.
RICERCHE DI MATEMATICA
(2021)
Article
Automation & Control Systems
Yizhou Xu, Jiandong Wang
Summary: Alarm floods refer to the phenomenon of overwhelming operators with too many alarms in a short time period. This paper introduces a maximum entropy-based method for predicting upcoming alarms, utilizing all historical data to improve response efficiency.
JOURNAL OF PROCESS CONTROL
(2021)
Article
Thermodynamics
Giuseppe Ali, Giovanni Mascali, Oreste Pezzi, Francesco Valentini
Summary: We propose an extended hydrodynamical model that uses moments of the electron distribution function to describe the behavior of plasmas, satisfying the Fokker-Planck-Landau transport equation. The moments are obtained by multiplying the FPL equation by weight functions and integrating over velocity space. Closure relations for fluxes and production terms can be determined using the maximum entropy distribution function, which depends on Lagrangian multipliers. In this study, we focus on the 13-moment system and apply it to the relaxation process of a homogeneous plasma with temperature anisotropy, obtaining results consistent with the Kogan solution of the kinetic equation.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2023)
Article
Mechanics
Hesam Moslemzadeh, Soheil Mohammadi
Summary: A new concurrent multiscale method based on the maximum entropy statistical method is proposed for the analysis of amorphous materials. This method allows for accurate analysis of the irregular structure of amorphous materials and overcomes the limitations of conventional techniques. It combines entropy-based finite element method and atomistic-based multiscale technique to discretize different regions with varying conditions. This method is verified and applied to simulate an amorphous silicon specimen.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2022)
Review
Chemistry, Multidisciplinary
Wei Wang, Ping-Fan Li, Rui Xie, Xiao-Jie Ju, Zhuang Liu, Liang-Yin Chu
Summary: Smart polymeric materials that can respond to environmental stimuli and dynamically adjust their physico-chemical characteristics have gained significant attention in various fields. The combination of micro-/nano-structures and molecular design offers promising opportunities for the development of advanced smart polymeric materials. This review highlights recent progress in the design and fabrication of smart polymeric materials that incorporate micro-/nano-structures and molecular design to achieve desired functions. Various examples, including smart hydrogels, gating membranes, gratings, milli-particles, micro-particles, and microvalves, are discussed, emphasizing the interplay between their micro-/nano-structures and responsive properties for practical applications. The review concludes with perspectives on the current challenges and future opportunities in the development of micro-/nano-structured smart polymeric materials.
ADVANCED MATERIALS
(2022)
Review
Physics, Multidisciplinary
Vito Dichio, Fabrizio De Vico Fallani
Summary: The brain is a highly complex system with intermingled connections that give rise to rich dynamics and high-level cognitive functions. Analyzing brain networks is challenging because their structure represents only one possible realization of a generative stochastic process. Maximum entropy models, such as exponential random graph models, provide an approach to identify the local connection mechanisms behind observed global network structure.
REPORTS ON PROGRESS IN PHYSICS
(2023)
Article
Mathematics, Applied
Tommaso Ruggeri
Summary: This paper discusses a rarefied polyatomic gas with a non-polytropic equation of state and uses the maximum entropy principle (MEP) to obtain the closure of the binary hierarchy of 14 moments associated with the Boltzmann equation. The closed partial differential system is symmetric hyperbolic and well-posed for the Cauchy problem. In the limiting case of polytropic gas, it confirms previous results and completes the equivalence between different closure methods for non-polytropic gas.
RICERCHE DI MATEMATICA
(2021)
Article
Mathematics, Applied
S. Davis, C. Loyola, J. Peralta
Summary: Quantitatively assessing the level of confidence in test scores can be challenging when multiple criteria are involved. This study presents a statistical approach based on Bayesian inference and maximum entropy principle to estimate the most probable and expected scores using credible interval information. The findings have implications for understanding and analyzing uncertain evaluation of learning performance beyond the case study of recommendation letters.
Article
Mathematics, Applied
Benjamin Anwasia, Srboljub Simic
Summary: In this study, the maximum entropy principle is applied to derive the properly scaled velocity distribution function of Boltzmann equations for mixtures, leading to a non-isothermal Maxwell-Stefan diffusion model. The entropy balance law is also analyzed, and the kinetic entropy production is derived from the scaled distribution function.
APPLIED MATHEMATICS LETTERS
(2022)
