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10 results for “Thermodynamic Limit”
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Research ArticleOpen accessIn the keywordsConstructing Gibbs Measure in a Rigorous WayFarida Kachapova, Ilias KachapovEquilibrium statistical mechanics studies mathematical models for physical systems with many particles interacting with an external force and with one another. In this paper we describe an interaction model that generalizes several of these models in one model. An infinite model is constructed as the limiting case of finite interaction models, that is as a thermodynamic limit. The key point … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 29 Oct 2019 · 6,591 accessesView PDFCite
Research ArticleOpen accessIn the keywordsInteraction Model in Statistical MechanicsFarida Kachapova, Ilias KachapovStatistical mechanics considers several models such as Ising model, Potts model, Heisenberg model etc. A rigorous mathematical approach based on the axiomatic foundation of probability would benefit the study and applications of these models. In this paper we use this approach to generalize some of these models into one construction named an interaction model. We introduce a mathematically rigorous definition … …Journal of Mathematics and Statistics, Vol. 13, Issue 4 · 4 Nov 2017 · 7,054 accessesView PDFCite
Research ArticleOpen accessIn the keywordsHomogeneous Bubbles during Jet Impingement QuenchingM. A. Islam, S. F. AhmedProblem statement: Jet impingement quenching has a very effective and large cooling potential and is a very effective means of cooling for many applications. It gives rise to heterogeneous and/or homogeneous nucleation of bubbles, which is yet to be explored. Approach: Analytically investigate the phenomenon that happened during a brief contact of a water jet impinging on a hot surface. … …American Journal of Applied Sciences, Vol. 7, Issue 6 · 30 Jun 2010 · 7,162 accessesView PDFCite
Research ArticleOpen accessIn the abstractCoupling Analysis of Thermodynamic Equilibrium of Mass Transfer and Microbial Community Succession in Multiphase System of Dark Tea Solid-State FermentationZhanjun Liu, Jiawei Sun, Taotao Li et al.During the solid-state fermentation of dark tea, the limited material migration, the dynamic evolution of the thermodynamic equilibrium state, and the highly dynamic succession of the microbial community make it difficult to analyze the quality formation mechanism systematically. Traditional research has focused on microbial diversity or sensory quality analysis, lacking a systematic discussion on the regulatory effects of material migration … …American Journal of Biochemistry and Biotechnology, Vol. 22, Issue 3 · 10 Aug 2026 · 1,004 accessesView PDFCite
Research ArticleOpen accessIn the abstractConvergence of Renormalization Group Transformations of Gibbs Random FieldFarida Kachapova, Ilias KachapovStatistical mechanics describes interaction between particles of a physical system. Particle properties of the system can be modelled with a random field on a lattice and studied at different distance scales using renormalization group transformation. Here we consider a thermodynamic limit of a lattice model with weak interaction and we use semi-invariants to prove that random fields transformed by renormalization … …Journal of Mathematics and Statistics, Vol. 12, Issue 3 · 27 Jul 2016 · 7,012 accessesView PDFCite
Research ArticleOpen accessIn the abstractSimultaneous Thermodynamic and Kinetic Parameters Determination Using Differential Scanning CalorimetryNader Frikha, Mohamed Bouroukba, Eric Schaer, Jean-Leon HouzelotProblem statement: The determination of reaction kinetics is of major importance, as for industrial reactors optimization as for environmental reasons or energy limitations. Although calorimetry is often used for the determination of thermodynamic parameters alone, the question that arises is: how can we apply the Differential Scanning Calorimetry for the determination of kinetic parameters. The objective of this study consists … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 1 · 12 Mar 2011 · 7,986 accessesView PDFCite
Research ArticleOpen accessIn the abstractPresence and Origin of Fluoride in the Complex Terminal Water of Ouargla Basin (Northern Sahara of Algeria)Imed Eddine Nezli, Samia Achour, Mohamed Djidel, Saïd AttalahProblem statement: The underground waters in the oriental regions of the Algerian Sahara, present real chemical quality problems. Their content in fluorides always exceeds the limit of the recommended levels. That is 0.8 mg L-1, according to the maximum temperature in the region. Combined to a high salinity, it affects the health of the population living around the region. The … …American Journal of Applied Sciences, Vol. 6, Issue 5 · 31 May 2009 · 7,671 accessesView PDFCite
Research ArticleOpen accessIn the abstractKinetic Study of the Effect of Selected Surfactants on Corrosion of CopperHowaida M. El-KashlanThe rates of copper corrosion were determined by measuring the limiting current of anodic dissolution of copper in phosphoric acid in presence and in absence of cetyl trimethyl ammonium bromide (CTAB) and cetyl pyridinium bromide (CPYB). The rate of corrosion is found to decrease by increasing the concentration of the surfactant. The percentage of inhibition ranged from 1.85 to 33.97% … …American Journal of Applied Sciences, Vol. 5, Issue 4 · 30 Apr 2008 · 7,137 accessesView PDFCite
Research ArticleOpen accessIn the abstractKinetic Study of the Effect of Benzoic Acid Derivatives on Copper ElectrodepositionHowaida M. El-KashlanThe effect of anodic oxygen bubbles on the rate of mass transfer in presence of benzoic acid, p-nitro, p-chloro and p-aminobenzoic acids were studied by measuring the limiting current of cathodic deposition of copper from acidified copper sulphate solution using lead anode. It is found that the rate of deposition decreases by adding organic substances. The rate of deposition depends … …American Journal of Applied Sciences, Vol. 5, Issue 3 · 31 Mar 2008 · 7,129 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordThermodynamic Investigation of Two-Stage Absorption Refrigeration System Connected by a CompressorL. Kairouani, E. Nehdi, R. B. IffaThe present work is to analyze a two-stage cycle based on the ammonia-water absorption system, with intermediate compression. The two generators of the system are heated by geothermal energy at low temperature. The study shows that this system makes it possible at lower generator temperature, under the limits permitted by the systems suggested up to now. For Tg = 335 … …American Journal of Applied Sciences, Vol. 2, Issue 6 · 30 Jun 2005 · 6,737 accessesView PDFCite