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The fluctuating diamagnetic magnetization Mfl at constant field H as a function of temperature and the isothermal magnetization Mfl vs H are measured in MgB2, above the superconducting transition temperature. The expressions for Mfl in…

Superconductivity · Physics 2009-11-07 A. Lascialfari , T. Mishonov , A. Rigamonti , P. Tedesco , A. Varlamov

We present a method for computing thermal properties of classical spin clusters with arbitrarily chosen interactions between spins. For such systems, instability channels are \textit{a priori} not known. The method is based on the…

Statistical Mechanics · Physics 2023-02-09 Daria Kuznetsova , Grigory V. Astretsov , Alexey N. Rubtsov

We introduce regular series expansion for weakly- and moderately-correlated fermionic systems, based on Fluctuating Local Field approach. The method relies on the explicit account of leading fluctuating mode(s) and is therefore suitable for…

Strongly Correlated Electrons · Physics 2024-12-25 Ya. S. Lyakhova , S. D. Semenov , A. I. Lichtenstein , A. N. Rubtsov

The theory of mesoscopic fluctuations is applied to inhomogeneous solids consisting of chaotically distributed regions with different crystalline structure. This approach makes it possible to describe statistical properties of such mixture…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov

The generalized elastic model encompasses several physical systems such as polymers, membranes, single file systems, fluctuating surfaces and rough interfaces. We consider the case of an applied localized potential, namely an external force…

Statistical Mechanics · Physics 2012-03-16 Alessandro Taloni , Aleksei Chechkin , Joseph Klafter

The impact of leading collective electronic fluctuations on a free energy of a prototype 1D model for molecular systems is considered within the recently developed Fluctuating Local Field (FLF) approach. The FLF method is a non-perturbative…

Strongly Correlated Electrons · Physics 2022-01-14 Yana S. Lyakhova , Evgeny A. Stepanov , Alexey N. Rubtsov

We simulate the mesoscopic dynamics of droplets formed by phase separated fluids at nanometer scales where thermal fluctuations are significant. Both spherical droplets fully immersed in a second fluid and sessile droplets which are also in…

Fluid Dynamics · Physics 2024-11-18 John B. Bell , Andrew Nonaka , Alejandro L. Garcia

Spatial fluctuations of the local electric field induced by a constant applied electric field in composite media are studied analytically and numerically. It is found that the density of states for the fields exhibit sharp peaks and abrupt…

Statistical Mechanics · Physics 2007-05-23 D. Cule , S. Torquato

A cornerstone of numerical homogenization is the equivalence of the microscopic and the macroscopic energy densities, which is referred to as Hill-Mandel condition. Among these coupling conditions, the cases of periodic, linear displacement…

Numerical Analysis · Mathematics 2019-06-26 Andreas Fischer , Bernhard Eidel

We investigate stability of both localized time-periodic coherent states (pulsons) and uniformly distributed coherent states (oscillating condensate) of a real scalar field satisfying the Klein-Gordon equation with a logarithmic…

High Energy Physics - Theory · Physics 2019-01-29 Vladimir A. Koutvitsky , Eugene M. Maslov

We investigate the statistical properties of translation invariant random fields (including point processes) on Euclidean spaces (or lattices) under constraints on their spectrum or structure function. An important class of models that…

Probability · Mathematics 2022-02-07 Kartick Adhikari , Subhroshekhar Ghosh , Joel L. Lebowitz

We propose a new semiclassical approach based on the dynamical mean field theory to treat the interactions of electrons with local lattice fluctuations. In this approach the classical (static) phonon modes are treated exactly whereas the…

Strongly Correlated Electrons · Physics 2009-11-07 S. Blawid , A. Deppeler , A. J. Millis

In this paper, we introduce a statistical field theory that describes the macroscopic mechanical forces in inhomogeneous Coulomb fluids. Our approach employs the generalization of Noether's first theorem for the case of fluctuating order…

Statistical Mechanics · Physics 2023-10-31 P. E. Brandyshev , Yu. A. Budkov

Strongly correlated electrons with box disorder in high-dimensional lattices are investigated. We apply the statistical dynamical mean-field theory, which treats local correlations non-perturbatively. The incorporation of a finite lattice…

Disordered Systems and Neural Networks · Physics 2011-09-27 Denis Semmler , Krzysztof Byczuk , Walter Hofstetter

Fluctuation theorems (FTs) quantify the thermodynamic reversibility of a system, and for deterministic systems they are defined in terms of the dissipation function. However, in a nonequilibrium steady state of deterministic dynamics, the…

Statistical Mechanics · Physics 2026-03-24 Stephen Sanderson , Charlotte F. Petersen , Debra J. Searles

Strongly correlated fermions in a crystal or in an optical lattice in the presence of binary alloy disorder are investigated. We employ the statistical dynamical mean-field theory, which incorporates both, local fluctuations due to disorder…

Disordered Systems and Neural Networks · Physics 2010-09-15 Denis Semmler , Krzysztof Byczuk , Walter Hofstetter

The phase diagram of correlated, disordered electron systems is calculated within dynamical mean-field theory using the H\"older mean local density of states. A critical disorder strength is determined in the Anderson-Falicov-Kimball model…

Strongly Correlated Electrons · Physics 2009-11-13 Andre M. C. Souza , Daniela de O. Maionchi , Hans J. Herrmann

In our previous publication [Kogan et al, Phys. Rev. {\bf 48}, 9404 (1993)] we considered the issue of statistics of radiation diffusively propagating in a disordered medium. The consideration was in the framework of diagrammatic techniques…

Condensed Matter · Physics 2009-10-22 Eugene Kogan , Moshe Kaveh

Using the Langevin approach and the multiscale technique, a kinetic theory of the time and space nonlocal fluctuations in the collisional plasma is constructed. In local equilibrium a generalized version of the Callen-Welton theorem is…

Plasma Physics · Physics 2007-05-23 V. Belyi

We study quasi-particle dynamics in a quasi-periodic Ising model with temporally fluctuating transverse fields. Specifically, we calculate the dynamical exponents of the standard deviation of a quasi-particle spreading under a field chosen…

Statistical Mechanics · Physics 2023-03-07 Kohei Ohgane , Yusuke Masaki , Hiroaki Matsueda