Article
Engineering, Chemical
Bennett D. Marshall, Rubin J. McDougal, Louis Jasperson, Lane R. Gardner, Peter Ravikovitch
Summary: In this study, a liquid/vapor isotherm model is developed using the ideal adsorbed solution theory (IAST) and Langmuir isotherms. The model accurately predicts the adsorption behavior of complex mixtures from both vapors and liquids. Experimental measurements and mass balance are used to establish a direct relationship between the mixture surface adsorption predictions and the experimental liquid excess adsorption measurements, improving the accuracy and predictability of the adsorption data.
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH
(2022)
Article
Astronomy & Astrophysics
J. M. Carmona, J. L. Cortes, J. J. Relancio, M. A. Reyes
Summary: Doubly special relativity considers a deformation in the special relativistic kinematics that is parametrized by a high-energy scale, while preserving the relativity principle. Inconsistencies arise when applying this deformation to all interactions between particles, which can be avoided by proposing that the deformation only affects interactions between elementary particles. As a consequence, the deformation does not modify the special relativistic energy-momentum relation of a particle.
Article
Astronomy & Astrophysics
B. F. Rizzuti, G. F. Vasconcelos Jr
Summary: In this paper, we discuss how the Magueijo-Smolin Doubly Special Relativity proposal can be derived from a singular Lagrangian action. The deformed energy-momentum dispersion relation emerges as a specific gauge, with its covariance imposing the non-linear Lorentz group action, and the additional invariant scale is present from the beginning as a coupling constant to a gauge auxiliary variable. The geometrical meaning of the gauge fixing procedure and its connection to the free relativistic particle are also described.
Article
Astronomy & Astrophysics
S. A. Franchino-Vinas, J. J. Relancio
Summary: In this work, we discuss the deformed relativistic wave equations, namely the Klein-Gordon and Dirac equations, in a scenario of doubly special relativity. We present a geometric approach based on the geometry of a curved momentum space, which complements the more widely used algebraic approach. In this framework, we are able to rederive known algebraic expressions and address unresolved issues such as the relation between the two equations, discrete symmetries for Dirac particles, the fate of covariance, and the formal definition of a Hilbert space for the Klein-Gordon case.
CLASSICAL AND QUANTUM GRAVITY
(2023)
Article
Physics, Multidisciplinary
Fidele J. Twagirayezu
Summary: This article investigates the impact of minimal length on the statistical thermodynamic properties of a magnetized ideal gas, using Kempf Algebra to reformulate the Lagrangian density of the 3-D static electromagnetic field to obtain the modified magnetostatic potential energy. The modified thermodynamic properties of the gas under magnetization, susceptibility, and permeability in the presence of minimal length are derived, showing that quantum gravity affects all thermodynamic properties. Respective upper bounds on the deformation parameter and minimal length are also derived.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Chemistry, Multidisciplinary
Bjorn A. Strom, Dick Bedeaux, Sondre K. Schnell
Summary: The ideal gas model is still applicable in small systems, where molecules in a gas can be modeled as either free or adsorbed. The adsorption energy is crucial in understanding the behavior of adsorbents. The nanothermodynamic framework helps in studying thermodynamic variables of the adsorbed phase controlled by temperature, surface area, and chemical potential. It is important to improve our understanding of nanothermodynamics for small systems.
Article
Physics, Particles & Fields
D. M. Ghilencea
Summary: We discuss gauge theories of scale invariance beyond the Standard Model (SM) and Einstein gravity. A consequence of gauging this symmetry is that their underlying 4D geometry is non-metric. The theories have spontaneous breaking of the gauged scale symmetry to Einstein gravity, with mass scales having a geometric origin.
EUROPEAN PHYSICAL JOURNAL C
(2023)
Article
Physics, Multidisciplinary
J. Guemez, J. A. Mier
Summary: Two thermodynamic processes, including the launching of a projectile by forces produced by chemical reactions and the Joule-Kelvin process implemented on a conveyor belt, are analyzed using a relativistic four-vector fundamental equation formalism. The corresponding equations in different reference frames are obtained through Lorentz transformation, satisfying Einstein's principle of relativity. Non-mechanical energies are assigned linear momentum and their variations are considered in Newton's second law equation, taking into account relativistic non-simultaneity and conveyor belt effects. It is shown that entropy variations and fuel consumption are frame independent in relativistic thermodynamics.
Article
Astronomy & Astrophysics
Alex Pandya, Elias R. Most, Frans Pretorius
Summary: This study presents the first numerical analysis of relativistic hydrodynamics with ideal gas microphysics. It explores the impact of different hydrodynamic frames on the behavior of various physical solutions, using the methods and constraints provided by the BDNK theory.
Article
Physics, Multidisciplinary
Iwan Setiawan, Ryan Sugihakim, Bobby Eka Gunara
Summary: In this paper, we investigate the central force problem in special theory of relativity and derive the special relativistic version of the Binet equation for describing the orbit of a massive body. We then discuss the motion of a planet in a solar-like system where the gravitational potential is modified. Using the perturbative method, we obtain the explicit orbital function and further explore the relation between the orbital precession of the planet and the results from general relativity.
Article
Astronomy & Astrophysics
Benjamin Koch, Enrique Munoz, Alessandro Santoni
Summary: In this study, the corrections to the energy spectrum of a C-invariant Dirac Fermion in a static and homogeneous magnetic field arising from VSR's SIM(2) invariant realization were considered. It was found that the energy spectrum expression remains the same under certain conditions, with only a mass shift due to VSR contribution. A new energy spectrum equation was derived when relaxing the parallelism condition, which was solved perturbatively. Through measurements in Penning trap experiments, upper bounds for the VSR electron mass parameter and VSR electronic neutrino mass of 1 eV were obtained, without contradicting the possibility of VSR being the origin of neutrino masses.
Article
Multidisciplinary Sciences
Daniel K. Hoffmann, Vijay Pal Singh, Thomas Paintner, Manuel Jaeger, Wolfgang Limmer, Ludwig Mathey, Johannes Hecker Denschlag
Summary: Researchers demonstrate the variation of second sound wave in the crossover from Bose-Einstein condensate to Bardeen-Cooper-Schrieffer superfluid using ultracold fermionic Li-6 atoms with tunable interactions. The speed of second sound varies only slightly in this crossover regime, providing deeper insight into the propagation of sound waves. The measurement results are compared with classical-field simulations to aid in the interpretation of experiments.
NATURE COMMUNICATIONS
(2021)
Article
Chemistry, Physical
Francesco Avanzini, Emanuele Penocchio, Gianmaria Falasco, Massimiliano Esposito
Summary: The study presents a universal theory accounting for interactions between chemical species using activity coefficients within a mean-field approach to ensure thermodynamic consistency. It revises standard mass-action kinetics and identifies the thermodynamic potential and forces driving non-ideal chemical systems out of equilibrium.
JOURNAL OF CHEMICAL PHYSICS
(2021)
Article
Mechanics
Paolo Gajoni, Alberto Guardone
Summary: This article investigates the properties of two-dimensional compressible flows in radial equilibrium, considering both ideal and non-ideal conditions. The study derives a differential relation for the Mach number dependency on the radius and analytically integrates it for ideal flows. Numerical simulations confirm the predicted flow evolution from uniform flow conditions to the radial equilibrium profile.
JOURNAL OF FLUID MECHANICS
(2023)
Review
Multidisciplinary Sciences
Latevi M. Lawson
Summary: A recent introduction of a set of noncommutative algebra has been made to describe the space at the Planck scale. The interesting finding is that the generalized uncertainty principle leads to a maximal length of quantum gravity, revealing strong quantum gravitational effects at this scale. Based on this, the study investigates the thermodynamic quantities of an ideal gas consisting of N indistinguishable particles at this scale within the canonical ensembles. A comparison with minimal length scenarios and the Reissner-Nordstrom black hole shows that the maximal length in this theory induces logarithmic corrections of deformed parameters, which are consequences of strong quantum gravitational effects.
Article
Physics, Multidisciplinary
Nitin Chandra
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2012)
Article
Physics, Multidisciplinary
N. Chandra, H. W. Groenewald, J. N. Kriel, F. G. Scholtz, S. Vaidya
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2014)
Article
Physics, Nuclear
S. Chatterjee, R. M. Godbole, Sourendu Gupta
Article
Physics, Nuclear
Sandeep Chatterjee, Bedangadas Mohanty
Article
Astronomy & Astrophysics
Sandeep Chatterjee, Kirtimaan A. Mohan
Article
Astronomy & Astrophysics
Sandeep Chatterjee, Kirtimaan A. Mohan
Article
Astronomy & Astrophysics
S. Chatterjee, R. M. Godbole, Sourendu Gupta
Article
Physics, Particles & Fields
Nirmalendu Acharyya, Nitin Chandra, Sachindeo Vaidya
JOURNAL OF HIGH ENERGY PHYSICS
(2011)
Article
Physics, Particles & Fields
Nirmalendu Acharyya, Nitin Chandra, Sachindeo Vaidya
JOURNAL OF HIGH ENERGY PHYSICS
(2014)
Article
Physics, Multidisciplinary
Dheeraj Kumar Mishra, Nitin Chandra, Vinay Vaibhav
