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The general theory of simple transport processes between quantum mechanical reservoirs is reviewed and extended. We focus on thermoelectric phenomena, involving exchange of energy and particles. Entropy production and Onsager relations are…

Mathematical Physics · Physics 2007-05-23 Juerg Froehlich , Marco Merkli , Daniel Ueltschi

Statistical properties of Brownian motion that arise by analyzing, separately, trajectories over which the system energy increases (upside) or decreases (downside) with respect to a threshold energy level, are derived. This selective…

Statistical Mechanics · Physics 2019-08-02 Galen T. Craven , Abraham Nitzan

Transport during flow of generalized Newtonian fluids (GNFs) appears often in systems that can be treated in a simplified form as either cylindrical tubes or slit openings between parallel plates. Based on the pioneering work of Taylor,…

Fluid Dynamics · Physics 2025-05-20 Christopher A. Bowers , Cass T. Miller

We study inflationary solution in an extension of mimetic gravity with the higher derivative interactions coupled to gravity. Because of the higher derivative interactions, the setup is free from the ghost and gradient instabilities while…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Seyed Ali Hosseini Mansoori , Alireza Talebian , Hassan Firouzjahi

Directed transport of overdamped Brownian particles driven by fractional Gaussian noises is investigated in asymmetrically periodic potentials. By using Langevin dynamics simulations, we find that rectified currents occur in the absence of…

Statistical Mechanics · Physics 2015-05-20 Bao-quan Ai , Ya-feng He , Wei-rong Zhong

The transport phenomenon (movement and diffusion) of inertia Brownian particles in a periodic potential with non-Gaussian noise is investigated. It is found that proper noise intensity Q will promote particles directional movement(or…

Statistical Mechanics · Physics 2019-02-20 Bing Wang , Xiaoxiao Zhang , Yajuan Sun , Zhongwei Qu , Xuechao Li

In this letter we study adiabatic and isocurvature perturbations in the frame of inflation with multiple sound speeds involved. We suggest this scenario can be realized by a number of generalized scalar fields with arbitrary kinetic forms.…

High Energy Physics - Theory · Physics 2010-12-17 Yi-Fu Cai , Hai-Ying Xia

We propose a unified framework to study the turbulent transport problem from the perspective of nonequilibrium statistical mechanics. By combining Krarichnan's turbulence thermalization assumption and Ruelle's recent work on nonequilibrium…

Statistical Mechanics · Physics 2021-06-15 Yuanran Zhu

Various empirical and theoretical studies indicate that cumulative network traffic is a Gaussian process. However, depending on whether the intensity at which sessions are initiated is large or small relative to the session duration tail,…

Probability · Mathematics 2010-12-08 Luis Lopez-Oliveros , Sidney I. Resnick

We extend the public CppTransport code to calculate the statistical properties of fluctuations in multiple-field inflationary models with curved field space. Our implementation accounts for all physical effects at tree-level in the 'in-in'…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-19 Sean Butchers , David Seery

We clarify the role of gauge invariance for the computation of quantum non-Gaussian correlators in inflation. A gauge invariant generating functional for n-point functions is given and the special status of the spatially flat gauge is…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-11 Gerasimos Rigopoulos

A model to explain the statistics of the velocity gradients in the dissipation range of a turbulent flow is presented. The experimentally observed non-gaussian statistics is theoretically predicted by means of a thermodynamical analogy…

Statistical Mechanics · Physics 2007-05-23 Jacopo Bellazzini

The paper develops a methodology to enable microscopic models of transportation systems to be accessible for a statistical study of traffic accidents. Our approach is intended to permit an understanding not only of historical losses, but…

Applications · Statistics 2023-11-22 Sojung Kim , Marcel Kleiber , Stefan Weber

For chaotic cavities with scattering leads attached, transport properties can be approximated in terms of the classical trajectories which enter and exit the system. With a semiclassical treatment involving fine correlations between such…

Chaotic Dynamics · Physics 2015-05-20 Gregory Berkolaiko , Jack Kuipers

We propose exact results for the full counting statistics, or the scaled cumulant generating function, pertaining to the transfer of arbitrary conserved quantities across an interface in homogeneous integrable models out of equilibrium. We…

Statistical Mechanics · Physics 2020-01-22 Jason Myers , M. J. Bhaseen , Rosemary J. Harris , Benjamin Doyon

The same intervention can produce different effects in different sites. Transport mediation estimators can estimate the extent to which such differences can be explained by differences in compositional factors and the mechanisms by which…

Methodology · Statistics 2020-06-16 Kara E. Rudolph , Ivan Diaz

We study a nonminimal derivative inflationary model in the presence of the Gauss-Bonnet term. To have a complete treatment of the model, we consider a general form of the nonminimal derivative function and also the Gauss-Bonnet coupling…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-29 Kourosh Nozari , Narges Rashidi

We reconsider magnetogenesis in the context of three-form inflation, and its backreaction. In particular, we focus on first order perturbation theory during inflation and subsequent radiation era: we discuss the consistency of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Federico R. Urban , Tomi K. Koivisto

We present a new transport-based approach to efficiently perform sequential Bayesian inference of static model parameters. The strategy is based on the extraction of conditional distribution from the joint distribution of parameters and…

Methodology · Statistics 2023-08-29 Paul-Baptiste Rubio , Youssef Marzouk , Matthew Parno

We propose some class of statistics suitable for estimation of the Hurst index of the fractional Brownian motion based on the second order increments of an observed discrete trajectory.

Probability · Mathematics 2016-07-28 Kestutis Kubilius , Viktor Skorniakov
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