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The goal of this contribution is to introduce the Hamiltonian formalism of theoretical mechanics for analysing motion in generic linear and non-linear dynamical systems, including particle accelerators. This framework allows the derivation…

Accelerator Physics · Physics 2024-02-27 Yannis Papaphilippou

At the core of equilibrium statistical mechanics lies the notion of statistical ensembles: a collection of microstates, each occurring with a given a priori probability that depends only on a few macroscopic parameters such as temperature,…

Statistical Mechanics · Physics 2015-06-19 Dapeng Bi , Silke Henkes , Karen E. Daniels , Bulbul Chakraborty

The equilibrium of a hot dense plasma in a gravitational field is considered. From the standard equilibrium equations, the energy minimum at density about $10^{25}$ particles per $cm^3$ and temperature about $10^7 K$ was found. This effect…

Astrophysics · Physics 2007-05-23 B. V. Vasiliev

Based on the generic acceleration model, which suggests different types of electromagnetic interactions between the cosmic charged particles and the different configurations of the electromagnetic (plasma) fields, the ultra high energy…

High Energy Astrophysical Phenomena · Physics 2014-03-21 A. Tawfik , A. Saleh , M. T. Ghoneim , A. Hady

We examine the equilibrium properties of hot, dilute, non-relativistic plasmas. The partition function and density correlation functions of a classical plasma with several species are expressed in terms of a functional integral over…

Plasma Physics · Physics 2009-10-31 Lowell S. Brown , Laurence G. Yaffe

We investigate the thermodynamic properties of the Hayward regular black hole using both Euclidean path integral and Hamiltonian methods, in asymptotically anti-de Sitter, Minkowski, and de Sitter spacetimes. With the inclusion of matter…

General Relativity and Quantum Cosmology · Physics 2024-03-04 Fil Simovic , Ioannis Soranidis

The novel hydrodynamic model of plasmas with the relativistic temperatures consisted of four equations for the material fields: the concentration and the velocity field \emph{and} the average reverse relativistic $\gamma$ functor and the…

Plasma Physics · Physics 2021-08-03 Pavel A. Andreev

Using techniques of effective field theory, we consider the thermodynamical properties of a dilute two-dimensional plasma interacting via a $1/r$ potential. The first one-loop correction to the partition function is already logarithmically…

Plasma Physics · Physics 2008-11-26 Manuel A. Valle Basagoiti

We study symmetry restoration at finite temperature in the theory of a charged scalar field interacting with a constant, external magnetic field. We compute the finite temperature effective potential including the contribution from ring…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alejandro Ayala , Angel Sánchez , Gabriella Piccinelli , Sarira Sahu

An analytically tractable model is introduced which exhibits both, a glass--like freezing transition, and a collection of double--well configurations in its zero--temperature potential energy landscape. The latter are generally believed to…

Condensed Matter · Physics 2009-10-28 Reimer Kuehn

In the study of degenerate plasmas contained within compact astrophysical objects, both special relativity and general relativity play important roles. After reviewing the existing treatment in the literature, here we employ the methods of…

High Energy Astrophysical Phenomena · Physics 2022-01-20 Golam Mortuza Hossain , Susobhan Mandal

Our goal is to discuss in detail the calculation of the mean number of stationary points and minima for random isotropic Gaussian fields on a sphere as well as for stationary Gaussian random fields in a background parabolic confinement.…

Mathematical Physics · Physics 2015-11-24 Yan V Fyodorov

The work in this thesis uses the formalism of thermal field theory. The major problem considered by us is the gravitational interaction of charged leptons in a medium. Working in the context of the linearized theory of gravity, we have…

High Energy Physics - Phenomenology · Physics 2007-05-23 Indrajit Mitra

We study the angular momentum profiles both for dark matter and for gas within virialized halos, using a statistical sample of halos drawn from cosmological hydrodynamics simulations. Three simulations have been analyzed, one is the…

Astrophysics · Physics 2009-11-10 D. N. Chen , Y. P. Jing , Kohji Yoshikawa

The appearance of angular momentum in the nuclear motion of molecular systems lacking inversion symmetry under imposed thermal gradients presents a novel mechanism with potential implications for spintronics, magnetic response, and energy…

Chemical Physics · Physics 2025-08-26 Jichen Feng , Ethan Abraham , Joseph Subotnik , Abraham Nitzan

Nonequilibrium quantum field theory is often used to derive an approximation for the evolution of number densities and asymmetries in astroparticle models when a more precise treatment of quantum thermal effects is required. This work…

High Energy Physics - Phenomenology · Physics 2022-03-14 Tomáš Blažek , Peter Maták

We study gravitational lensing by clusters of galaxies in the context of the generic class of unconventional gravity theories of the scalar--tensor type. For positive energy scalar fields with any dynamics, the bending of light by a weakly…

Astrophysics · Physics 2010-11-01 Jacob D. Bekenstein , Robert H. Sanders

Vector displacements expressed in spherical coordinates are proposed. They correspond to electromagnetic fields in vacuum that globally rotate about an axis and display many circular patterns on the surface of a sphere. The fields basically…

Classical Physics · Physics 2021-06-11 Daniele Funaro

We analyze the effect of temperature on the yielding transition of amorphous solids using different coarse-grained model approaches. On one hand we use an elasto-plastic model, with temperature introduced in the form of an Arrhenius…

Disordered Systems and Neural Networks · Physics 2021-11-12 Ezequiel E. Ferrero , Alejandro B. Kolton , Eduardo A. Jagla

We summarize recent developments in the field of higher dimensional bosonization made by the authors and collaborators and propose a general formula for the field operator in terms of currents and densities in one dimension using a new…

Strongly Correlated Electrons · Physics 2009-11-13 Girish S. Setlur , V. Meera
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