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The spontaneous genesis of hydrocarbons which comprise natural petroleum have been analyzed by chemical thermodynamic stability theory. The constraints imposed upon chemical evolution by the second law of thermodynamics are briefly…

Chemical Physics · Physics 2009-11-11 J. F. Kenney , Vladimir G. Kutcherov , Nikolai A. Bendeliani , Vladimir A. Alekseev

The search for pathways that optimize the formation of a particular target molecule in a reaction network is a key problem in many settings, including reactor systems. Chemical reaction networks are mathematically well represented as…

Molecular Networks · Quantitative Biology 2025-06-17 Adittya Pal , Rolf Fagerberg , Jakob Lykke Andersen , Christoph Flamm , Peter Dittrich , Daniel Merkle

Pyrosequencing is one of the important next-generation sequencing technologies. We derive the distribution of the number of positive signals in pyrograms of this sequencing technology as a function of flow cycle numbers and nucleotide…

Genomics · Quantitative Biology 2024-05-28 Yong Kong

We present a new model of the three-dimensional distribution of molecular gas in the Milky Way Galaxy, based on CO line data. Our analysis is based on a gas-flow simulation of the inner Galaxy using smoothed-particle hydrodynamics (SPH)…

Astrophysics · Physics 2009-06-23 Martin Pohl , Peter Englmaier , Nicolai Bissantz

For the system with inhomogeneous distribution of macroscopic parameters we obtain thermodynamic relation which depends on the spatial point (coordinate). In our approach, to obtain such a relation we use the basic ideas of the method of…

Statistical Mechanics · Physics 2025-09-24 A. P. Rebesh , B. I. Lev , A. G. Zagorodny

Gas-phase processes were long thought to be the key formation mechanisms for complex organic molecules in star-forming regions. However, recent experimental and theoretical evidence has cast doubt on the efficiency of such processes.…

Astrophysics · Physics 2009-11-13 Robin T. Garrod , Susanna L. Widicus Weaver , Eric Herbst

Modeling the burning processes of biomass such as wood, grass, and crops is crucial for the modeling and prediction of wildland and urban fire behavior. Despite its importance, the burning of solid fuels remains poorly understood, which can…

Chemical Physics · Physics 2022-01-11 Weiqi Ji , Franz Richter , Michael J. Gollner , Sili Deng

We develop a methodological framework and mathematical formulation which yields estimates of the uncertainty associated with the amounts of CO2 generated by carbonate-clays reactions (CCR) in large-scale subsurface systems to assist…

The increasing scientific and technological interest in nanoparticles has raised the need for fast, efficient and precise characterization techniques. Powder diffraction is a very efficient experimental method, as it is straightforward and…

Materials Science · Physics 2008-12-02 A. Cervellino , C. Giannini , A. Guagliardi , M. Ladisa

The process of preparing heterogeneous catalysts on porous supports includes a drying stage, in which the porous material, impregnated with an aqueous solution of the catalyst precursor, is dried, and the precursor is precipitated on the…

Chemical Physics · Physics 2026-01-06 N. V. Peskov

In the study of phase transitions a very few models are accessible to exact solution. In the most cases analytical simplifications have to be done or some numerical technique has to be used to get insight about their critical properties.…

Statistical Mechanics · Physics 2017-05-24 B. V. Costa , L. A. S. Mól , J. C. S. Rocha

At 300-3000K and 1-500MPa, variations of relative contents for small water clusters (H2O)n (n=1~6) were calculated by using statistical mechanical methods. First, 9 kinds of small water clusters were selected and their structures were…

Chemical Physics · Physics 2016-04-26 Yong-U Ri , Chang-Sob Kwak , Kye-Ryong Sin

Eyring theory provides a convenient approximation to the rate of a chemical reaction, as it uses only local information evaluated near extremal points of a given potential energy surface. However, in cases of pronounced anharmonicity and…

Chemical Physics · Physics 2025-02-11 Christian W. Binder , Johannes K. Krondorfer , Andreas W. Hauser

Complex systems of intracellular biochemical reactions have a central role in regulating cell identities and functions. Biochemical reaction systems are typically studied using the language and tools of graph theory. However, graph…

Combinatorics · Mathematics 2021-09-24 Raffaella Mulas , Rubén J. Sánchez-García , Ben D. MacArthur

The extraction of natural gas from the earth has been shown to be governed by differential equations concerning flow through a porous material. Recently, models such as fractional differential equations have been developed to model this…

Applications · Statistics 2017-09-27 Joshua Whitlinger , Edward L Boone , Ryad Ghanam

While we would like to predict exact values, available incomplete information is rarely sufficient - usually allowing only to predict conditional probability distributions. This article discusses hierarchical correlation reconstruction…

Trading and Market Microstructure · Quantitative Finance 2019-11-07 Jarosław Duda , Robert Syrek , Henryk Gurgul

The paper presents an analytical theory quantitatively describing the heterogeneous combustion of nonvolatile (metal) particles in the diffusion-limited regime. It is assumed that the particle is suspended in an unconfined, isobaric,…

Fluid Dynamics · Physics 2025-02-11 Daoguan Ning , Andreas Dreizler

In the inner regions of protoplanetary discs, ionization chemistry controls the fluid viscosity, and is thus key to understanding various accretion, outflow and planet formation processes. The ionization is driven by thermal and non-thermal…

Earth and Planetary Astrophysics · Physics 2024-11-25 Morgan Williams , Subhanjoy Mohanty

A mathematical model has been developed to simulate the kinetic and thermal behaviour of a porous solid pellet undergoing chemical reaction with a gas. The model describes the chemical reaction itself, the transfer of the gaseous species…

Chemical Physics · Physics 2016-12-14 F Patisson , D Ablitzer

The study of the formation of molecular hydrogen on low temperature surfaces is of interest both because it allows to explore elementary steps in the heterogeneous catalysis of a simple molecule and because of the applications in…

Chemical Physics · Physics 2008-11-21 G. Vidali , V. Pirronello , L. Li , J. Roser , G. Manico , R. Mehl , A. Lederhendler , H. B. Perets , J. R. Brucato , O. Biham