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We study properties of effective temperature of non-equilibrium steady states by using the anti-de Sitter spacetime/conformal field theory (AdS/CFT) correspondence. We consider non-equilibrium systems with a constant flow of current along…

High Energy Physics - Theory · Physics 2015-03-04 Hironori Hoshino , Shin Nakamura

The condition of thermal equilibrium simplifies the theoretical treatment of fluctuations as found in the celebrated Einstein's relation between mobility and diffusivity for Brownian motion. Several recent theories relax the hypothesis of…

Statistical Mechanics · Physics 2014-04-10 Andrea Gnoli , Andrea Puglisi , Alessandro Sarracino , Angelo Vulpiani

An ultracold gas of interacting fermionic atoms in a three-dimensional optical lattice is considered, where the lattice potential strength is periodically modulated. This non-equilibrium system is non-perturbatively described by means of a…

Quantum Physics · Physics 2016-03-07 Regine Frank

In this paper we develop a theory to calculate the structural relaxation time {\tau} {\alpha} of fragile su percooled liquids. Using the information of the configurational entropy and structure we calculate the number of dynamically free,…

Soft Condensed Matter · Physics 2021-04-07 Ankit Singh , Sarika Maitra Bhattacharyya , Yashwant Singh

We study the fluctuations of the integrated density current across the origin up to time $T$ in a lattice model of active particles with hard-core interactions. This model is amenable to an exact description within a fluctuating…

Statistical Mechanics · Physics 2024-02-27 Stephy Jose , Rahul Dandekar , Kabir Ramola

The nonexponential relaxation and aging inherent to complex dynamics manifested in a wide variety of dissipative systems is analyzed through a model of diffusion in phase space in the presence of a nonconservative force. The action of this…

Statistical Mechanics · Physics 2009-11-11 A. Perez-Madrid

We study the model of a molecular switch comprised of a molecule with a soft vibrational degree of freedom coupled to metallic leads. In the presence of strong electron-ion interaction, different charge states of the molecule correspond to…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 Fabio Pistolesi , Yaroslav M. Blanter , Ivar Martin

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 study the current large deviations for a lattice model of interacting active particles displaying a motility-induced phase separation (MIPS). To do this, we first derive the exact fluctuating hydrodynamics of the model in the large…

Statistical Mechanics · Physics 2022-11-08 Tal Agranov , Sunghan Ro , Yariv Kafri , Vivien Lecomte

We report the results of a large scale computer simulation of a binary supercooled Lennard-Jones liquid. We find that at low temperatures the curves for the mean squared displacement of a tagged particle for different temperatures fall onto…

Condensed Matter · Physics 2016-08-31 Walter Kob , Hans C. Andersen

Self-propelled particles, which convert energy into mechanical motion, exhibit inertia if they have a macroscopic size or move inside a gaseous medium, in contrast to micron-sized overdamped particles immersed in a viscous fluid. Here we…

Soft Condensed Matter · Physics 2021-11-08 G. H. Philipp Nguyen , René Wittmann , Hartmut Löwen

We develop a systematic extension of mode-coupling theory (MCT) that incorporates critical dynamical fluctuations. Starting from a microscopic diagrammatic theory, we identify dominant classes of divergent diagrams near the mode-coupling…

Statistical Mechanics · Physics 2025-12-16 Corentin C. L. Laudicina , Liesbeth M. C. Janssen , Grzegorz Szamel

We present a study of diffusion of small tagged particles in a solvent, using mode coupling theory (MCT) analysis and computer simulations. The study is carried out for various interaction potentials. For the first time, using MCT, it is…

Soft Condensed Matter · Physics 2015-06-12 Manoj Kumar Nandi , Atreyee Banerjee , Sarika Maitra Bhattacharyya

We introduce and analyse a continuum model for an interacting particle system of Vicsek type. The model is given by a non-linear kinetic partial differential equation (PDE) describing the time-evolution of the density $f_t$, in the single…

Mathematical Physics · Physics 2022-04-11 Paolo Buttà , Franco Flandoli , Michela Ottobre , Boguslaw Zegarlinski

We expand on a recent study of a lattice model of interacting particles [Phys. Rev. Lett. 111, 110601 (2013)]. The adsorption isotherm and equilibrium fluctuations in particle number are discussed as a function of the interaction. Their…

Statistical Mechanics · Physics 2014-11-20 T. Becker , K. Nelissen , B. Cleuren , B. Partoens , C. Van den Broeck

In this work a generalization of Onsager-Machlup's theory of time-dependent thermal fluctuations of equilibrium systems is proposed, to the case in which the system relaxes irreversibly along a non-equilibrium trajectory that can be…

Statistical Mechanics · Physics 2009-08-05 M. Medina-Noyola

We present a mean-field theory of a coarse-grained model of a super-cooled liquid in which relaxation occurs via local plastic rearrangements. Local relaxation can be induced by thermal fluctuations or by the long-range elastic consequences…

Soft Condensed Matter · Physics 2023-12-07 Joseph W. Baron , Giulio Biroli

A positive rate of entropy production at steady state is a distinctive feature of truly non-equilibrium processes. Exact results, while being often limited to simple models, offer a unique opportunity to explore the thermodynamic features…

Statistical Mechanics · Physics 2022-06-29 Henry Alston , Luca Cocconi , Thibault Bertrand

Mode-coupling theory (MCT) of sheared dense granular liquids %in the vicinity of jamming transition is formulated. Starting from the Liouville equation of granular particles, the generalized Langevin equation is derived with the aid of the…

Statistical Mechanics · Physics 2009-09-30 Hisao Hayakawa , Michio Otsuki

We study a class of nonequilibrium lattice models which describe local redistributions of a globally conserved energy. A particular subclass can be solved analytically, allowing to define a temperature T_{th} along the same lines as in the…

Statistical Mechanics · Physics 2007-05-23 Eric Bertin , Olivier Dauchot , Michel Droz