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We continue our lattice simulations of QCD with 2 flavours of colour-sextet quarks as a model for conformal or walking technicolor. A 2-loop perturbative calculation of the $\beta$-function which describes the evolution of this theory's…

High Energy Physics - Lattice · Physics 2013-05-29 J. B. Kogut , D. K. Sinclair

We present the results of molecular dynamics computer simulations of a simple glass former close to an interface between the liquid and the frozen amorphous phase of the same material. By investigating F_s(q,z,t), the incoherent…

Statistical Mechanics · Physics 2009-11-07 Peter Scheidler , Walter Kob , Kurt Binder , Giorgio Parisi

We study the low-temperature critical behavior of the one-dimensional Hubbard model near half filling caused by enhanced antiferromagnetic fluctuations. We use a mean-field-type approximation with a two-particle self-consistency…

Strongly Correlated Electrons · Physics 2021-09-10 Václav Janiš , Antonín Klíč , Jiawei Yan

Nonequilibrium mode-coupling theory (MCT) for uniformly sheared underdamped systems is developed, starting from the microscopic thermostatted SLLOD equation, and the corresponding Liouville equation. Special attention is paid to the…

Statistical Mechanics · Physics 2015-03-20 Koshiro Suzuki , Hisao Hayakawa

We study the dynamics of elastic interfaces-membranes-immersed in thermally excited fluids. The work contains three components: the development of a numerical method, a purely theoretical approach, and numerical simulation. In developing a…

Soft Condensed Matter · Physics 2009-10-31 Davide Stelitano , Daniel H. Rothman

We develop a rigorous Temporal Coupled-Mode Theory (TCMT) specifically tailored for a single Floquet-sheet resonator governed by time-modulated conductivities. By invoking photon-number conservation during frequency conversion, we derive…

Optics · Physics 2026-02-24 Yao-Ting Wang , Hsu-Huei Chou

We consider gapless models of statistical mechanics. At zero temperatures correlation functions decay asymptotically as powers of distance in these models. Temperature correlations decay exponentially. We used an example of solvable model…

High Energy Physics - Theory · Physics 2009-10-30 Vladimir Korepin , Nikita Slavnov

Idealized glass transitions are discussed within a novel mode-coupling theory (TMCT) proposed by Tokuyama(Physica A 395,31(2014)). This is done in order to identify common grounds with and differences to the conventional mode-coupling…

Statistical Mechanics · Physics 2015-04-23 Wolfgang Götze , Rolf Schilling

We give sharp conditions for the large time asymptotic simplification of aggregation-diffusion equations with linear diffusion. As soon as the interaction potential is bounded and its first and second derivatives decay fast enough at…

Analysis of PDEs · Mathematics 2021-05-28 José A. Carrillo , David Gómez-Castro , Yao Yao , Chongchun Zeng

We analyze the slow, glassy structural relaxation as measured through collective and tagged-particle density correlation functions obtained from Brownian dynamics simulations for a polydisperse system of quasi-hard spheres in the framework…

Soft Condensed Matter · Physics 2010-10-18 F. Weysser , A. M. Puertas , M. Fuchs , Th. Voigtmann

We investigate the temperature-dependent behavior emerging in the vicinity of the superfluid (SF) to Mott-insulator (MI) transition of interacting bosons in a two-dimensional optical lattice, described by the Bose-Hubbard model. The…

Quantum Gases · Physics 2022-03-03 Ulli Pohl , Sayak Ray , Johann Kroha

We present a mode-coupling theory (MCT) for the high-density dynamics of two-dimensional spherical active Brownian particles (ABP). The theory is based on the integration-through-transients (ITT) formalism and hence provides a starting…

Soft Condensed Matter · Physics 2017-12-20 Alexander Liluashvili , Jonathan Onody , Thomas Voigtmann

The important, and often dominant, role of tunneling in low temperature kinetics has resulted in numerous theoretical explorations into the methodology for predicting it. Nevertheless, there are still key aspects of the derivations that are…

Chemical Physics · Physics 2021-06-02 Yuri Georgievskii , Stephen J. Klippenstein

With the aim of studying rotating quark-gluon plasma (QGP), holographically, from a top-down approach, the study of the effect of rotation on the deconfinement temperature of thermal QCD-like theories at intermediate coupling from ${\cal…

High Energy Physics - Theory · Physics 2023-04-25 Gopal Yadav

By means of molecular dynamics computer simulations we investigate the out of equilibrium relaxation dynamics of a simple glass former, a binary Lennard-Jones system, after a quench to low temperatures. We study both one time quantities and…

Disordered Systems and Neural Networks · Physics 2009-10-31 Walter Kob , Jean-Louis Barrat

There is currently much interest in the development of improved trajectory-based methods for the simulation of nonadiabatic processes in complex systems. An important goal for such methods is the accurate calculation of the rate constant…

Chemical Physics · Physics 2014-09-04 Jeremy O. Richardson , Michael Thoss

The element of metastability is incorporated in the fluctuating nonlinear hydrodynamic description of the mode coupling theory (MCT) of the liquid-glass transition. This is achieved through the introduction of the defect density variable…

Condensed Matter · Physics 2009-10-22 Joonhyun Yeo , Gene F. Mazenko

The effect of quantum fluctuations on a nearly flat, nonrelativistic two-dimensional membrane with extrinsic curvature stiffness and tension is investigated. The renormalization group analysis is carried out in first-order perturbative…

Condensed Matter · Physics 2009-10-31 M. E. S. Borelli , H. Kleinert , Adriaan M. J. Schakel

Using molecular dynamics computer simulations we study the dynamics of a molecular liquid by means of a general class of time-dependent correlators S_{ll'}^m(q,t) which explicitly involve translational (TDOF) and orientational degrees of…

Statistical Mechanics · Physics 2009-10-30 Stefan Kammerer , Walter Kob , Rolf Schilling

We present an extensive treatment of the generalized mode-coupling theory (GMCT) of the glass transition, which seeks to describe the dynamics of glass-forming liquids using only static structural information as input. This theory amounts…

Statistical Mechanics · Physics 2016-07-05 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman