Article
Mathematics, Applied
Riya, Bhupendra Gupta, Subir Singh Lamba
Summary: Anisotropic diffusion filtering is effective for noise removal and edge preservation but highly dependent on diffusion coefficient and threshold parameter. A new technique with faster convergence rate and image-dependent threshold parameter outperforms traditional models of anisotropic diffusion. Experimental results demonstrate the superiority of the proposed method over traditional anisotropic diffusion models.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2021)
Article
Mathematics, Applied
Tanmoy Bera, Mithun Kumar Das, Anirban Mukhopadhyay
Summary: In this article, the pair correlation statistic for higher dimensional sequences is studied. The study establishes results regarding the Poissonian pair correlation of strictly increasing sequences of natural numbers in both supnorm and 2-norm. These results provide a negative answer to a question raised by Hofer and Kaltenbock [15].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Chemistry, Physical
Sahire Azam Ansary, Shikha Dwivedi, Pankaj Mishra
Summary: This study investigates the pair structure of a binary mixture of soft-ellipsoids and spheres interacting via generalized Gay-Berne intermolecular potential using Percus-Yevick integral equation theory. The addition of spherical particles to a system of ellipsoids enhances their pair-correlations, with smaller spherical additives being more effective than larger spheres at similar density. The static structure factors do not diverge in the low wavelength limit, indicating a stable mixture. Furthermore, the effect of spherical additives and their size on the isotropic-nematic phase transition is examined using classical density functional theory of freezing, revealing a stable nematic phase with an increasing order parameter.
JOURNAL OF MOLECULAR LIQUIDS
(2023)
Article
Thermodynamics
Antonio Marcilla, Maria del Mar Olaya, Paloma Carbonell-Hermida, Marta K. Wojtczuk, Hector Rodriguez, Eva Rodil, Ana Soto
Summary: Several physical properties and isobaric vapor-liquid equilibria were measured for a binary system of acetone and the ionic liquid 1-ethyl-3-methyl-imidazolium acetate. Liquid-liquid equilibria data were also measured. The study proposed a new model with a correction term based on the analysis of excess Gibbs energy, which could simultaneously correlate both sets of equilibrium data with high accuracy.
FLUID PHASE EQUILIBRIA
(2022)
Article
Physics, Fluids & Plasmas
Nicolas Desbiens, Philippe Arnault, William Weens, Vincent Dubois, Guillaume Perrin
Summary: This study discusses the quantification of uncertainties in time correlation functions in molecular dynamics using the bootstrap method. The autocorrelation functions of a binary ionic mixture were chosen as a test case, with an assessment of the Darken approximation. The study also explores the effectiveness of the bootstrap method in addressing finite-size effects.
Article
Chemistry, Physical
Keiichi Yanase, Khuyen Viet Bao Tran, Tsuyoshi Yamaguchi, Hiroshi Machida, Koyo Norinaga
Summary: We investigated the local structure of diethylene glycol diethyl ether (DEGDEE)-water mixtures near the lower critical solution temperature (LCST) by using simultaneous small- and wide-angle X-ray scattering measurements and thermodynamic calculations. The results show self-segregations of DEGDEE and water in nanometer length scales near the critical concentration, which may be a precursor to macroscopic phase separation.
JOURNAL OF MOLECULAR LIQUIDS
(2022)
Article
Engineering, Chemical
Arkava Ganguly, Priyotosh Bairagya, Tamal Banerjee, Debashis Kundu
Summary: Metaheuristic algorithms such as genetic algorithm and cuckoo search have been used to compute liquid-liquid splitting of mixtures with different buffers. The GA-UNIQUAC method showed the best performance in correlating biphasic regions with high accuracy, and the UNIQUAC model was enhanced by incorporating an extended Pitzer-Debye-Huckel* contribution term.
Article
Physics, Fluids & Plasmas
Pece Trajanovski, Petar Jolakoski, Kiril Zelenkovski, Alexander Iomin, Ljupco Kocarev, Trifce Sandev
Summary: The Ornstein-Uhlenbeck process is a Brownian motion in a harmonic potential. It exhibits properties like bounded variance, stationary probability distribution, and mean reverting behavior. Two examples of the generalized Ornstein-Uhlenbeck process are studied, one on a comb model and the other with stochastic resetting.
Article
Geochemistry & Geophysics
Francois Bonneau, Dietrich Stoyan
Summary: This paper proposes a second-order statistical theory to characterize the inner variability of fracture networks in 2D. The theory utilizes marked point process theory to treat fracture barycenters as points and fracture lengths and orientations as marks. It employs pair-correlation and mark-correlation functions to describe fracture network variability based on oriented distances between object centers. The application of these ideas on three fracture networks demonstrates their effectiveness.
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH
(2022)
Article
Chemistry, Physical
Kumar Ayush, Pooja Sahu, Sk. Musharaf Ali, Tarak K. Patra
Summary: We developed a machine learning model to predict the atom pair correlation functions of a class of glassy materials, which can accurately predict the correlation functions for unknown glasses.
PHYSICAL CHEMISTRY CHEMICAL PHYSICS
(2023)
Article
Engineering, Chemical
Fan Chen, Jie Ren, Xu Xiang
Summary: Hydrogels are widely used in biomedicine due to their excellent biocompatibility. This study monitored the diffusion rate of protons in hydrogels using a self-made device and investigated the factors influencing the diffusion rate. The results showed that the thickness of the hydrogel greatly affected proton diffusion, and the diffusion coefficient increased with temperature. Additionally, the presence of smaller anions facilitated faster proton diffusion in the hydrogel.
POLYMER ENGINEERING AND SCIENCE
(2023)
Article
Materials Science, Multidisciplinary
Hijaz Ahmad, Tufail A. Khan, Predrag S. Stanimirovic, Wasfi Shatanawi, Thongchai Botmart
Summary: This study investigates the modified variational iteration algorithm-I, which is used for solving different types of nonlinear partial differential equations in modeling physical phenomena. The algorithm incorporates a supplementary parameter to ensure faster convergence. The results obtained from this algorithm are compared with exact and numerical solutions produced by various methods, demonstrating its efficiency, precision, and applicability. The proposed algorithm is highly valuable for solving practical problems in fields of applied physical sciences and engineering.
RESULTS IN PHYSICS
(2022)
Article
Chemistry, Physical
Xiaojuan Fan, Tianxiang Li, Xiaoli Wang, Wenqing Deng, Jing Zhu
Summary: In this paper, the phase equilibrium of the ternary system KCl-CO(NH2)(2)-H2O was studied, and two phase diagrams were constructed. The solubility was correlated using the Wilson and NRTL models.
JOURNAL OF MOLECULAR LIQUIDS
(2022)
Article
Thermodynamics
S. E. Savotchenko, A. N. Cherniakov
Summary: This paper proposes a new theoretical description of diffusion features along nonequilibrium dislocation pipes. The effective diffusion coefficient in nonequilibrium dislocation is calculated and analyzed, taking into account the relaxation processes during diffusion annealing. The equation of nonequilibrium diffusion from a constant source in dislocation pipes is derived, and the analytical solution of the formulated equation describing the diffusant concentration in dislocation pipe is found. The concentration of diffusant and the amount of diffusant at a fixed depth increase with an increase in nonequilibrium dislocation excess energy. The time dependence of diffusant concentration shows a maximum due to an increase in nonequilibrium dislocation excess energy and relaxation processes during diffusion annealing.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2022)
Article
Chemistry, Multidisciplinary
Marek Gawor, Norbert Skoczylas, Anna Pajdak, Mateusz Kudasik
Summary: The authors derived an analytical solution to diffusion equations, finding significant deviations between the linearized solution and the numerical nonlinear solution. Through experimental validation, it was confirmed that the nonlinear equation more accurately represents the actual measurements.
APPLIED SCIENCES-BASEL
(2021)
