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We present an analytical and numerical study of a nonlinear diffusion model which describes density relaxation of loosely packed particles under gravity and weak random (thermal) vibration, and compare the results with Monte Carlo…

Soft Condensed Matter · Physics 2009-11-10 Jeferson J. Arenzon , Yan Levin , Mauro Sellitto

The inhomogeneous cooling state describing the hydrodynamic behavior of a freely evolving granular gas strongly confined between two parallel plates is studied, using a Boltzmann kinetic equation derived recently. By extending the idea of…

Statistical Mechanics · Physics 2019-12-20 J. Javier Brey , M. I. García de Soria , P. Maynar

In these notes I explain the idea how one could understand confinement by studying the low energy effective dynamics of non Abelian gauge theories. I argue that under some mild assumptions, the low energy dynamics is determined universally…

High Energy Physics - Phenomenology · Physics 2016-11-23 Alex Kovner

We associate to each unit volume lattice of $\R^d$ the Ising model with bond variables equal to the inverse successive minima of that lattice. This induces the notion of a critical temperature for a random lattice for which integrability…

Dynamical Systems · Mathematics 2024-07-23 René Rühr

Different models with nonabelian homogeneous condensate fields are considered in the one-loop approximation. Effective action in a model of gluodynamics in curved space is calculated. Free energy and its minimum in a (2+1)-dimensional model…

High Energy Physics - Theory · Physics 2007-05-23 V. Ch. Zhukovsky , V. V. Khudyakov , I. V. Mamsurov

We use a random pinning procedure to study amorphous order in two glassy spin models. On increasing the concentration of pinned spins at constant temperature, we find a sharp crossover (but no thermodynamic phase transition) from bulk…

Statistical Mechanics · Physics 2015-03-19 Robert L. Jack , Ludovic Berthier

We report on our recent study of equilibrium thermodynamic observables in SU(N) gauge theories with N=3, 4, 5, 6 and 8 colors at temperatures T in the range from 0.8 T_c to 3.4 T_c (where T_c denotes the critical deconfinement temperature).…

High Energy Physics - Lattice · Physics 2010-11-05 Marco Panero

We present a robust scheme to derive effective models non-perturbatively for quantum lattice models when at least one degree of freedom is gapped. A combination of graph theory and the method of continuous unitary transformations (gCUTs) is…

Strongly Correlated Electrons · Physics 2011-04-18 H-Y. Yang , K. P. Schmidt

A number of successful theoretical models of hardness have been developed recently. A thermodynamic model of hardness, which supposes the intrinsic character of correlation between hardness and thermodynamic properties of solids, allows one…

Materials Science · Physics 2018-04-20 V. A. Mukhanov , O. O. Kurakevych , V. L. Solozhenko

Lattice gauge theory has provided a crucial non-perturbative method in studying canonical models in high-energy physics such as quantum chromodynamics. Among other models of lattice gauge theory, the lattice gauge-Higgs model is a quite…

Quantum Gases · Physics 2015-06-08 Yoshihito Kuno , Kenichi Kasamatsu , Yoshiro Takahashi , Ikuo Ichinose , Tetsuo Matsui

The isoscaling behavior is investigated using the isotopic/isobaric yields from the equilibrated thermal source which is prepared by the lattice gas model for lighter systems with A = 36. The isoscaling parameters $\alpha$ and -$\beta$ are…

Nuclear Theory · Physics 2009-11-10 Y. G. Ma , K. Wang , Y. B. Wei , G. L. Ma , X. Z. Cai , J. G. Chen , D. Q. Fang , W. Guo , W. Q. Shen , W. D. Tian , C. Zhong

We present a detailed experimental study of a three-dimensional lin$\perp$lin bright optical lattice. Measurements of the atomic temperature and spatial diffusion coefficients are reported for different angles between the lattice beams,…

Atomic Physics · Physics 2009-11-07 F. -R. Carminati , M. Schiavoni , L. Sanchez-Palencia , F. Renzoni , G. Grynberg

We study the distribution of energy level spacings in two models describing coupled single-mode Bose-Einstein condensates. Both models have a fixed number of degrees of freedom, which is small compared to the number of interaction…

Quantum Physics · Physics 2009-11-10 Silvio R. Dahmen , Jon Links , Ross H. McKenzie , Huan-Qiang Zhou

The zero-temperature critical state of the two-dimensional gauge glass model is investigated. It is found that low-energy vortex configurations afford a simple description in terms of gapless, weakly interacting vortex-antivortex pair…

Disordered Systems and Neural Networks · Physics 2009-11-10 Lei-Han Tang , Peiqing Tong

In many cases, topological excitations become fundamental variables in a dual formulation of the theory. Assuming this is true in case of SU(2) gluodynamics, we look for hints on the dual variables from the lattice simulations.…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Zakharov

We study a lattice model of attractive colloids. It is exactly solvable on sparse random graphs. As the pressure and temperature are varied it reproduces many characteristic phenomena of liquids, glasses and colloidal systems such as ideal…

Soft Condensed Matter · Physics 2008-10-15 Florent Krzakala , Marco Tarzia , Lenka Zdeborová

We examine the problem of gauge-field localization in higher-dimensional gauge theories. In particular, we study a five-dimensional U(1) by lattice techniques and we find that gauge fields can indeed be localized. Two models are considered.…

High Energy Physics - Theory · Physics 2009-10-31 P. Dimopoulos , K. Farakos , A. Kehagias , G. Koutsoumbas

We show that the Random Energy Model has interesting rejuvenation properties in its frozen phase. Different `susceptibilities' to temperature changes, for the free-energy and for other (`magnetic') observables, can be computed exactly.…

Condensed Matter · Physics 2009-11-07 Marta Sales , Jean-Philippe Bouchaud

We investigate the thermodynamics of a spin ladder model which possesses a free parameter besides the rung and leg couplings. The model is exactly solved by the Bethe Ansatz and exhibits a phase transition between a gapped and a gapless…

Statistical Mechanics · Physics 2007-05-23 A. P. Tonel , S. R. Dahmen , A. Foerster , A. L. Malvezzi

We have investigated the phase transition properties of classical linear sigma model. The fields were kept in contact with a heat bath for sufficiently long time such that fields are equilibrated at the temperature of the heat bath. It was…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. K. Chaudhuri