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We consider thermal phases of holographic lattices at finite chemical potential in which a continuous internal bulk symmetry can be spontaneously broken. In the normal phase, translational symmetry is explicitly broken by the lattice and…

High Energy Physics - Theory · Physics 2021-02-01 Aristomenis Donos , Daniel Martin , Christiana Pantelidou , Vaios Ziogas

We investigate critical transport and the dynamical exponent through the spreading of an initially localized particle in quadratic Hamiltonians with short-range hopping in lattice dimension $d_l$. We consider critical dynamics that emerges…

Statistical Mechanics · Physics 2025-03-05 Miroslav Hopjan , Lev Vidmar

We analyze the propagation of experimentally relevant two-particle correlations for one-dimensional interacting bosons, and give evidence that many-body chaos induces the emergence of an effective diffusive regime for the fully coherent…

Quantum Physics · Physics 2025-02-12 Óscar Dueñas , David Peña , Alberto Rodríguez

Quantum and classical systems can consistently be coupled via non-unitary time-irreversible mechanisms. In this paper we characterize which kind of corresponding dynamics converge in the stationary regime to a thermal hybrid state, that is,…

Quantum Physics · Physics 2026-04-06 Adrián A. Budini

We study thermodynamic and transport observables of quantum critical states that arise in the infra-red limit of holographic renormalisation group flows. Although these observables are expected to exhibit quantum critical scaling, there are…

High Energy Physics - Theory · Physics 2019-11-06 Richard A. Davison , Simon A. Gentle , Blaise Goutéraux

We study the relaxation process of two driven colloidal suspensions in diffusive contact to a steady state, similar to thermalization. We start by studying a single suspension, subjecting it to random driving forces via holographic optical…

Soft Condensed Matter · Physics 2025-05-01 Galor Geva , Tamir Admon , Maayan Levin , Yael Roichman

We investigate the relations between black hole thermodynamics and holographic transport coefficients in this paper. The formulae for DC conductivity and diffusion coefficient are verified for electrically single-charged black holes. We…

High Energy Physics - Theory · Physics 2014-08-25 Xian-Hui Ge , Hong-Qiang Leng , Li Qing Fang , Guo-Hong Yang

Using a new version of the holographic principle, a constant term was introduced, which conduces to the description of the standard cosmological LCDM model, and unifies under the same concept the dark matter and dark energy phenomena. The…

High Energy Physics - Theory · Physics 2011-02-03 L. N. Granda

Holographic methods are used to investigate the low temperature limit, including quantum critical behavior, of strongly coupled 4-dimensional gauge theories in the presence of an external magnetic field, and finite charge density. In…

High Energy Physics - Theory · Physics 2015-06-11 Eric D'Hoker , Per Kraus

The paper considers heat transport in diatomic one-dimensional lattices, containing equal amounts of particles with different masses. Ordering of the particles in the chain is governed by single correlation parameter -- the probability for…

Statistical Mechanics · Physics 2015-08-13 Alexander V. Savin , Vadim Zolotarevskiy , Oleg V. Gendelman

We use Gauge/Gravity duality to write down an effective low energy holographic theory of charge density waves. We consider a simple gravity model which breaks translations spontaneously in the dual field theory in a homogeneous manner,…

High Energy Physics - Theory · Physics 2018-05-02 Andrea Amoretti , Daniel Areán , Blaise Goutéraux , Daniele Musso

A thermodynamically consistent framework able to model either diffusive and displacive phase transitions is proposed. The first law of thermodynamics, the balance of linear momentum equation and the Cahn-Hilliard equation for solute mass…

Materials Science · Physics 2015-03-17 Mirko Maraldi , Luisa Molari , Diego Grandi

We consider a one-dimensional chain of coupled oscillators in contact at both ends with heat baths at different temperatures, and subject to an external force at one end. The Hamiltonian dynamics in the bulk is perturbed by random exchanges…

Probability · Mathematics 2019-09-12 Tomasz Komorowski , Stefano Olla , Marielle Simon

We study diffusion and butterfly velocity ($v_B$) in two holographic models, linear axion and axion-dilaton model, with a momentum relaxation parameter ($\beta$) at finite density or chemical potential ($\mu$). Axion-dilaton model is…

High Energy Physics - Theory · Physics 2017-04-25 Keun-Young Kim , Chao Niu

We argue that there exist simple effective field theories describing the long-distance dynamics of holographic liquids. The degrees of freedom responsible for the transport of charge and energy-momentum are Goldstone modes. These modes are…

High Energy Physics - Theory · Physics 2011-07-26 Dominik Nickel , Dam T. Son

We consider a heavy quantum particle with an internal degree of freedom moving on the $d$-dimensional lattice $\bbZ^d$ (e.g., a heavy atom with finitely many excited states). The particle is coupled to a thermal medium (bath) consisting of…

Mathematical Physics · Physics 2011-01-18 W. De Roeck , J. Froehlich

Recent progress in the holographic approach makes it more transparent that each conductivity can be decomposed into the coherent contribution due to momentum relaxation and the incoherent contribution due to intrinsic current relaxation. In…

High Energy Physics - Theory · Physics 2016-12-02 Zhenhua Zhou , Yi Ling , Jian-Pin Wu

We consider chains consisting of several identical subsystems weakly coupled by various types of next neighbor interactions. At both ends the chain is coupled to a respective heat bath with different temperature modeled by a Lindblad…

Statistical Mechanics · Physics 2007-05-23 Mathias Michel , Jochen Gemmer , Guenter Mahler

We characterize steady-state static and dynamic properties in a broad class of mass transport processes on a periodic hypercubic lattice of volume $L^d$, where both mass and {\it center-of-mass} (CoM) remain conserved and detailed balance…

Statistical Mechanics · Physics 2025-03-31 Animesh Hazra , Anirban Mukherjee , Punyabrata Pradhan

It is argued that the so-called holographic principle will obstruct attempts to produce physically realistic models for the unification of general relativity with quantum mechanics, unless determinism in the latter is restored. The notion…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gerard 't Hooft