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The transport and dispersion of multiple species of charged ions are central to many biological and physical processes, including electrokinetic ion separation. However, most theoretical studies of dispersion in channels have focused on…

Soft Condensed Matter · Physics 2026-05-04 Thakurdas Mahata , Anirban Chatterjee , Ameeya Kumar Nayak

Electrostatic correlations and fluctuations in ionic systems can be described within an extended Poisson-Boltzmann theory using a Gaussian variational form. The resulting equations are challenging to solve because they require the solution…

Computational Physics · Physics 2015-06-17 Zhenli Xu , A. C. Maggs

We present a combined treatment of the non-equilibrium dynamics and transport of electrons and phonons by carrying out \textit{ab initio} calculations of the fully coupled electron and phonon Boltzmann transport equations. We find that the…

Materials Science · Physics 2020-12-30 Nakib H. Protik , Boris Kozinsky

We consider the problem of Coulomb drag resistance in bilayers of electron liquids with spontaneously broken time-reversal symmetry. In the hydrodynamic regime, the viscosity tensor of such fluids has a nonvanishing odd component. In this…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Dmitry Zverevich , Dmitri B. Gutman , Alex Levchenko

We study the stochastic dynamics of an electrolyte driven by a uniform external electric field and show that it exhibits generic scale invariance despite the presence of Debye screening. The resulting long-range correlations give rise to a…

Soft Condensed Matter · Physics 2021-04-21 Saeed Mahdisoltani , Ramin Golestanian

Materials with strongly-correlated electrons exhibit interesting phenomena such as metal-insulator transitions and high-temperature superconductivity. In stark contrast to ordinary metals, electron transport in these materials is thought to…

Strongly Correlated Electrons · Physics 2019-11-19 J. Gooth , F. Menges , C. Shekhar , V. Süß , N. Kumar , Y. Sun , U. Drechsler , R. Zierold , C. Felser , B. Gotsmann

We study the role of electron-electron interactions for spin polarized transport using the Boltzmann equation and derive a set of coupled transport equations. For spin polarized transport the electron-electron interactions are important,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Karsten Flensberg , Thomas Stibius Jensen , Niels Asger Mortensen

An approximate analytical solution to the fluctuation potential problem in the modified Poisson-Boltzmann theory of electrolyte solutions in the restricted primitive model is presented. The solution is valid for all inter-ionic distances,…

Statistical Mechanics · Physics 2017-12-15 E. O. Ulloa-Dávila , L. B. Bhuiyan

We examine the thermal fluctuations of the local electric field $E_k^{\rm loc}$ and the dipole moment $\mu_k$ in liquid water at $T=298$ K between metal walls in electric field applied in the perpendicular direction. We use analytic theory…

Soft Condensed Matter · Physics 2015-10-19 Kyohei Takae , Akira Onuki

We develop a theory of heat transfer induced by thermal charge fluctuations in two-dimensional electron double layers. We consider pristine systems comprised of identical layers, and focus on the regime of sufficiently high temperatures and…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 Dmitry Zverevich , A. V. Andreev , Alex Levchenko

The stochastic dynamics of tracers arising from hydrodynamic fluctuations in a driven electrolyte is studied using a self-consistent field-theory framework in all dimensions. A plethora of scaling behaviour that includes two distinct…

Soft Condensed Matter · Physics 2026-02-12 Ramin Golestanian

Employing time-dependent projection formalism, a Fokker-Planck equation with non-Markovian transport coefficients is derived for large amplitude collective motion. Properties of transport coefficients for diffusion processes in a potential…

Nuclear Theory · Physics 2007-05-23 Noboru Takigawa , Sakir Ayik , Sachie Kimura

A microscopic model of interacting oscillators, which admits two conserved quantities, volume, and energy, is investigated. We begin with a system driven by a general nonlinear potential under high-temperature regime by taking the inverse…

Probability · Mathematics 2023-08-15 Patrícia Gonçalves , Kohei Hayashi

Though electrical noise and conduction current are assigned to corpuscle-like electrons drifting in solid matter, this model hardly fits in the Fluctuation-Dissipation framework. However, fluctuations of energy due to displacements of…

Other Condensed Matter · Physics 2025-07-17 Jose-Ignacio Izpura

Augmenting the dispersion of a solute species remains a challenging topic in electroosmotically-actuated flows due to the inherent plug-like feature of its velocity profile. In this study, we improvise on electrothermal flow of viscoelastic…

Fluid Dynamics · Physics 2019-05-07 Siddhartha Mukherjee , Jayabrata Dhar , Sunando Dasgupta , Suman Chakraborty

This study has numerically investigated the charge-heterogeneity effects in the electroviscous flow of symmetric ($1$:$1$) electrolyte liquid through a uniform slit microfluidic device. The Poisson's, Nernst-Planck (N-P), Navier-Stokes…

Fluid Dynamics · Physics 2024-09-26 Jitendra Dhakar , Ram Prakash Bharti

We study the propogation and diffusion of electric charge fluctuations in high energy heavy ion collisions using the Cattaneo form for the dissipative part of the electric current. As opposed to the ordinary diffusion equation this form…

Nuclear Theory · Physics 2018-01-31 Joseph I. Kapusta , Christopher Plumberg

The recently developed effective field theory of fluctuations around thermal equilibrium is used to compute late-time correlation functions of conserved densities. Specializing to systems with a single conservation law, we find that the…

High Energy Physics - Theory · Physics 2019-12-24 Xinyi Chen-Lin , Luca V. Delacrétaz , Sean A. Hartnoll

Hydrodynamic electron flow is experimentally observed in the differential resistance of electrostatically defined wires in the two-dimensional electron gas in (Al,Ga)As heterostructures. In these experiments current heating is used to…

Condensed Matter · Physics 2009-10-22 M. J. M. de Jong , L. W. Molenkamp

We calculate the contribution of superconducting fluctuations to thermal transport in the normal state, for low magnetic fields. We do so in the Gaussian approximation to their critical dynamics which is also the Aslamazov-Larkin…

Superconductivity · Physics 2009-11-07 Iddo Ussishkin , S. L. Sondhi , David A. Huse