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We formulate a theory for the collective phase description of oscillatory convection in Hele-Shaw cells. It enables us to describe the dynamics of the oscillatory convection by a single degree of freedom which we call the collective phase.…

Adaptation and Self-Organizing Systems · Physics 2013-12-10 Yoji Kawamura , Hiroya Nakao

We consider different generalizations of the Fokker-Planck-equation devised to describe Levy processes in potential force fields. We show that such generalizations can proceed along different lines. On one hand, Levy statistics can emerge…

Statistical Mechanics · Physics 2016-08-31 Dirk Brockmann , Igor Sokolov

General relations are found between the measure of the uniformity of distributions on the phase space and the first moments and correlations of extensive variables for systems close to thermal equilibrium. The role played by the parameter…

Statistical Mechanics · Physics 2009-11-07 Arkadiusz Majka , Wojciech Wislicki

We propose a generalization of the collective field theory hamiltonian, including interactions between the original bosonic collective field $w_0 (z)$ and supplementary fields ${\bar w}_j (z)$ realizing classically a $w_\infty$ algebra. The…

High Energy Physics - Theory · Physics 2009-10-22 J. Avan , A. Jevicki

Making use of a recursive approach, derivative dispersion relations are generalized for an arbitrary number of subtractions. The results for both cross even and odd amplitudes are theoretically consistent at sufficiently high energies and…

High Energy Physics - Theory · Physics 2009-10-31 M. J. Menon , A. E. Motter , B. M. Pimentel

Reciprocal space methods for solving Poisson's equation for finite charge distributions are investigated. Improvements to previous proposals are presented, and their performance is compared in the context of a real-space density functional…

Computational Physics · Physics 2007-05-23 Alberto Castro , Angel Rubio , M. J. Stott

In this paper a family of fixed point algorithms for the numerical resolution of some systems of nonlinear equations is designed and analyzed. The family introduced here generalizes the Petviashvili method and can be applied to the…

Numerical Analysis · Mathematics 2013-11-12 J. Alvarez , A. Duran

The Boltzmann distribution predicts the collective behavior of systems at thermodynamic equilibrium as a function of their constituent parts. Yet most systems in nature are not at equilibrium, and a unified theory of their behavior does not…

Statistical Mechanics · Physics 2018-10-16 Milo M. Lin

We consider dynamical systems that are described by fractional power of coordinates and momenta. The fractional powers can be considered as a convenient way to describe systems in the fractional dimension space. For the usual space the…

Statistical Mechanics · Physics 2009-11-11 Vasily E. Tarasov

We introduce a mean-field framework for the study of systems of interacting particles sharing a conserved quantity. The work generalises and unites the existing fields of asset-exchange models, often applied to socio-economic systems, and…

Physics and Society · Physics 2021-06-14 Dominic T Robson , Andreas CW Baas , Alessia Annibale

In this proceeding contribution we report on a first study in order to explore the so called epsilon regime with Wilson twisted mass (Wtm) fermions. To show the potential of this approach we give a preliminary determination of the chiral…

High Energy Physics - Lattice · Physics 2008-11-26 K. Jansen , A. Nube , A. Shindler , C. Urbach , U. Wenger

Relativistic effects in the thermodynamical properties of interacting particle systems are investigated within the framework of the relativistic direct interaction theory in various forms of dynamics. In the front form of relativistic…

High Energy Physics - Theory · Physics 2007-05-23 V. Tretyak

A method for describing charged relativistic Fermi fields is proposed, in which particles of opposite charges are treated equally and states with negative energy are excluded. The concept of charge quantum number is introduced. Fields of…

High Energy Physics - Theory · Physics 2025-10-29 Yu. M. Poluektov

The classical wave-particle Hamiltonian is considered in its generalized version, where two modes are assumed to interact with the co-evolving charged particles. The equilibrium statistical mechanics solution of the model is worked out…

Statistical Mechanics · Physics 2015-06-18 Tarcísio N. Teles , Duccio Fanelli , Stefano Ruffo

We calculate the collective modes of a partially polarized Fermi gas trapped in a spherically symmetric harmonic potential. We show that the breathing mode frequency exhibits non-monotonic dependence on polarization in the entire BCS-BEC…

Other Condensed Matter · Physics 2007-05-23 Theja N. De Silva , Erich J. Mueller

We show that the R\'enyi entropies of single particle, extended wave functions for disordered systems contain information about the multifractal spectrum. It is shown for moments of the R\'enyi entropy, $S_{n}$, where $|n|<1$, it is…

Mesoscale and Nanoscale Physics · Physics 2013-02-04 Xiao Chen , Benjamin Hsu , Taylor L. Hughes , Eduardo Fradkin

The article surveys the known results and conjectures about the analytic properties of dispersion relations and Fermi surfaces for periodic equations of mathematical physics and their spectral incarnations.

Mathematical Physics · Physics 2023-04-05 Peter Kuchment

In this talk an introduction to generalized parton distributions is given. Recent developments are shortly reviewed, including non-perturbative calculations, phenomenological aspects and evaluation of higher order perturbative and power…

High Energy Physics - Phenomenology · Physics 2015-06-25 D. Müller

Generalized (non-Markovian) diffusion equations with different memory kernels and subordination schemes based on random time change in the Brownian diffusion process are popular mathematical tools for description of a variety of non-Fickian…

Statistical Mechanics · Physics 2021-03-24 A. Chechkin , I. M. Sokolov

A set of travelling wave solutions to a hyperbolic generalization of the convection-reaction-diffusion is studied by the methods of local nonlinear alnalysis and numerical simulation. Special attention is paid to displaying appearance of…

Pattern Formation and Solitons · Physics 2009-11-17 Vsevolod Vladimirov
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