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We first review the phenomenology of viscous liquids and the standard models used for explaining the non-Arrhenius average relaxation time. Then the focus is turned to the so-called elastic models, arguing that these models are all…

Soft Condensed Matter · Physics 2009-11-11 Jeppe C. Dyre

The derivation of the state of the art tensorial versions of Fundamental Measure Theory (a form of classical Density Functional Theory for hard spheres) are re-examined in the light of the recently introduced concept of global stability of…

Statistical Mechanics · Physics 2021-01-04 James F. Lutsko

The goal of this paper is to develop some aspects of the deformation theory of piecewise flat structures on surfaces and use this theory to construct new geometric structures on the moduli space of Riemann surfaces.

Differential Geometry · Mathematics 2008-04-22 Marc Troyanov

We derive new general expressions for the fluctuating electromagnetic field outside a homogeneous material surface. The analysis is based on general results from the thermodynamics of irreversible processes, and requires no consideration of…

Quantum Physics · Physics 2008-11-26 Giuseppe Bimonte , Enrico Santamato

Experimentally it is known that the bulk modulus, K, and shear modulus, \mu, of a granular assembly of elastic spheres increase with pressure, p, faster than the p^1/3 law predicted by effective medium theory (EMT) based on Hertz-Mindlin…

Soft Condensed Matter · Physics 2009-10-31 Hernan A. Makse , Nicolas Gland , David L. Johnson , Lawrence M. Schwartz

We present an effective field theory (EFT) for a model-independent description of deformed atomic nuclei. In leading order this approach recovers the well-known results from the collective model by Bohr and Mottelson. When higher-order…

Nuclear Theory · Physics 2016-04-14 T. Papenbrock , H. A. Weidenmüller

The search for electric dipole moments of particles in storage rings requires the development of dedicated deflector elements with electrostatic fields. In these rings, electric deflectors shall be used as bending elements for the charged…

Instrumentation and Detectors · Physics 2019-04-25 K. Grigoryev , F. Rathmann , A. Stahl , H. Ströher

We discuss a field-theoretical approach to liquids, solids and glasses, published recently [Phys.Rev.E {\bf105}, 034108 (2022)], which aims to describe these materials in a common quantum formalism. We argue that such quantum formalism is…

Disordered Systems and Neural Networks · Physics 2022-09-21 Taras Bryk , Walter Schirmacher , Giancarlo Ruocco

We apply the statistical mechanical approach based on the ``flat'' measure proposed by Edwards and coworkers to the parking lot model, a model that reproduces the main features of the phenomenology of vibrated granular materials. We first…

Statistical Mechanics · Physics 2009-11-10 G. Tarjus , P. Viot

Recent progress in studying the physics of amorphous solids has revealed that mechanical strains can be strongly screened by the formation of plastic events that are typically quadrupolar in nature. The theory stipulated that gradients in…

Disordered Systems and Neural Networks · Physics 2021-11-23 Bhanu Prasad Bhowmik , Michael Moshe , Itamar Procaccia

The focus of this PhD thesis is on applications, new developments and extensions of the noncommutative gravity theory proposed by Julius Wess and his group. In part one we propose an extension of the usual symmetry reduction procedure to…

Mathematical Physics · Physics 2012-10-04 Alexander Schenkel

Most of the current Global 21-cm experiments include ground screens that help moderate effects from the Earth. In this paper, we report on a possible systematic artifact within the ground plane that may produce broad absorption features in…

Instrumentation and Methods for Astrophysics · Physics 2019-04-10 Richard F. Bradley , Keith Tauscher , David Rapetti , Jack O. Burns

We report a comprehensive analysis of the ground state properties of axisymmetric toroidal crystals based on the elastic theory of defects on curved substrates. The ground state is analyzed as a function of the aspect ratio of the torus,…

Soft Condensed Matter · Physics 2008-12-04 Luca Giomi , Mark J. Bowick

The mechanical response of naturally abundant amorphous solids such as gels, jammed grains, and biological tissues are not described by the conventional paradigm of broken symmetry that defines crystalline elasticity. In contrast, the…

Disordered Systems and Neural Networks · Physics 2020-09-29 Jishnu N. Nampoothiri , Yinqiao Wang , Kabir Ramola , Jie Zhang , Subhro Bhattacharjee , Bulbul Chakraborty

In recent times, the theoretical study of the three-dimensional Edwards-Anderson model has produced several rigorous results on the nature of the spin-glass phase. In particular, it has been shown that, as soon as the overlap distribution…

Disordered Systems and Neural Networks · Physics 2013-12-11 A. Maiorano , G. Parisi , D. Yllanes

Within framework of basic-deformed and finite-difference calculi, as well as deformation procedures proposed by Tsallis, Abe, and Kaniadakis to be generalized by Naudts, we develop field-theoretical schemes of statistically distributed…

Statistical Mechanics · Physics 2015-05-18 A. I. Olemskoi , S. S. Borysov , I. A. Shuda

Part 2 of 3 from master's thesis: Modeling Compact Objects with Effective Field Theory. Using the Effective Field Theory framework for extended objects, we build the effective theory of a binary system made up of the most general compact…

High Energy Physics - Theory · Physics 2023-04-06 Irvin Martinez

Multiparameter persistent homology has emerged as a powerful generalization of topological data analysis, capable of encoding multivariate filtrations. However, the algebraic complexity of multiparameter persistence modules, marked by wild…

Algebraic Topology · Mathematics 2026-04-14 Mauricio Angel

Classical elasticity is concerned with bodies that can be modeled as smooth manifolds endowed with a reference metric that represents local equilibrium distances between neighboring material elements. The elastic energy associated with a…

Materials Science · Physics 2015-06-30 Raz Kupferman , Michael Moshe , Jake P. Solomon

A theory of matchings for finite subsets of an abelian group, introduced in connection with a conjecture of Wakeford on canonical forms for homogeneous polynomials, has since been extended to the setting of field extensions and to that of…

Combinatorics · Mathematics 2026-02-03 Mohsen Aliabadi , Jozsef Losonczy