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We test the Transient Time Correlation Function (TTCF) method to compute nonequilibrium transport coefficients, highlighting its conceptual and practical difference from the standard time-average approach. While time averages extract…

Statistical Mechanics · Physics 2026-03-11 Davide Carbone , Vincenzo Di Florio , Stefano Lepri , Lamberto Rondoni

We derive the transient-time correlation function (TTCF) expression for the computation of phase variables of inhomogenous confined atomistic fluids undergoing boundary-driven planar shear (Couette) flow at constant pressure. Using…

Soft Condensed Matter · Physics 2022-05-24 Luca Maffioli , Edward R. Smith , James P. Ewen , Peter J. Daivis , Daniele Dini , B. D. Todd

X-ray photon correlation spectroscopy (XPCS) is a powerful tool for the investigation of dynamics covering a broad range of time and length scales. The two-time correlation function (TTC) is commonly used to track non-equilibrium dynamical…

Soft Condensed Matter · Physics 2024-06-19 Anastasia Ragulskaya , Vladimir Starostin , Fajun Zhang , Christian Gutt , Frank Schreiber

We present TTCF4LAMMPS, a toolkit for performing non-equilibrium molecular dynamics (NEMD) simulations to study fluid behaviour at low shear rates using the LAMMPS software. By combining direct NEMD simulations and the transient-time…

Soft Condensed Matter · Physics 2023-12-07 Luca Maffioli , James P. Ewen , Edward R. Smith , Sleeba Varghese , Peter J. Daivis , Daniele Dini , B. D. Todd

Nonlinear response occurs naturally when a strong perturbation takes a system far from equilibrium. Despite of its omnipresence in nanoscale systems, it is difficult to predict in a general and efficient way. Here we introduce a way to…

Statistical Mechanics · Physics 2019-07-24 Chloe Ya Gao , David T. Limmer

The question of deriving general force/flux relationships that apply out of the linear response regime is a central topic of theories for nonequilibrium statistical mechanics. This work applies an information theory perspective to compute…

Statistical Mechanics · Physics 2019-02-04 David M. Rogers

The statistics obtained from turbulent flow simulations are generally uncertain due to finite time averaging. The techniques available in the literature to accurately estimate these uncertainties typically only work in an offline mode, that…

Experiments creating extreme states of matter almost invariably create non-equilibrium states. These are very interesting in their own right but need to be understood even if the ultimate goal is to probe high-pressure or high-temperature…

A new theoretical approach to non-equilibrium statistical systems has recently been proposed by the author, a co-author and others. It is based on a variational principle which is associated with the discrepancy of a path through…

Statistical Mechanics · Physics 2019-08-06 Richard Kleeman

In this paper, we focus on the two-time correlation function (TTCF) of the cavity optomechanical system, which serves as the most popular tool in precision detection technologies. We utilize the stochastic Schrodinger equation approach to…

Quantum Physics · Physics 2025-04-18 Yusui Chen , Kaiqi Xiong

This review deals with the nonequilibrium Green's function (NEGF) method applied to the problems of energy transport due to atomic vibrations (phonons), primarily for small junction systems. We present a pedagogical introduction to the…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Jian-Sheng Wang , Bijay Kumar Agarwalla , Huanan Li , Juzar Thingna

Using equilibrium fluctuations to understand the response of a physical system to an externally imposed perturbation is the basis for linear response theory, which is widely used to interpret experiments and shed light on microscopic…

Statistical Mechanics · Physics 2024-06-24 Jérémie Klinger , Grant M. Rotskoff

Although inertial particle-laden flows occur in a wide range of industrial and natural processes, there is both a lack of fundamental understanding of these flows and continuum-level governing equations needed to predict transport and…

Fluid Dynamics · Physics 2022-12-02 Lina Baroudi , Madhu V. Majji , Stephen Peluso , Jeffrey F. Morris

We review various numerical approaches to compute transport coefficients in molecular dynamics. These approaches can be broadly classified into three groups: (i) nonequilibrium methods based on applying an external driving field to the…

Non-equilibrium transport properties of quantum systems have recently become experimentally accessible in a number of platforms in so-called full-counting experiments that measure transient and steady state non-equilibrium transport…

Quantum Physics · Physics 2016-12-28 Javier Cerrillo , Maximilian Buser , Tobias Brandes

We present a lattice-based numerical method to describe the non equilibrium behavior of a simple fluid under non-uniform spatial conditions. The evolution equation for the one-particle phase-space distribution function is derived starting…

Statistical Mechanics · Physics 2009-11-13 S. Melchionna , U. Marini Bettolo Marconi

We study the classical non-equilibrium statistical mechanics of scalar field theory on the lattice. Steady states are analyzed near and far from equilibrium. The bulk thermal conductivity is computed, including its temperature dependence.…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kenichiro Aoki , Dimitri Kusnezov

Steady-state solutions for a variety of relevant queueing systems are known today, e.g., from queueing theory, effective bandwidths, and network calculus. The behavior during transient phases, on the other hand, is understood to a much…

Networking and Internet Architecture · Computer Science 2015-06-16 Nico Becker , Markus Fidler

This research demonstrates analytical time-dependent non-equilibrium green function (TD-NEGF) algorithms to investigate dynamical functionalities of quantum devices, especially for photon-assisted transports. Together with the lumped…

Mesoscale and Nanoscale Physics · Physics 2021-06-08 I-Lin Ho

Several data-driven approaches based on information theory have been proposed for analyzing high-order interactions involving three or more components of a network system. Most of these methods are defined only in the time domain and rely…

Applications · Statistics 2025-03-18 Yuri Antonacci , Chiara Bara' , Laura Sparacino , Gorana Mijatovic , Ludovico Minati , Luca Faes
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