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The sensitivity of charge, heat, or momentum transport to the sample geometry is a hallmark of viscous electron flow. Therefore, hydrodynamic electronics requires the detailed understanding of electron flow in finite geometries. The…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Egor I. Kiselev , Joerg Schmalian

Controversy exists regarding the possible existence of a transition between the liquid and glassy states of water. Here we use experimental measurements of the entropy, specific heat, and enthalpy of both liquid and glassy water to…

Condensed Matter · Physics 2007-05-23 Francis W. Starr , C. Austen Angell , Robin J. Speedy , H. Eugene Stanley

The Seebeck effect consists in the induction of a voltage drop due to the temperature difference in a conductor. In the middle of XIXth century, Lord Kelvin has proposed a relation between the Seebeck coefficient and the derivative of the…

Mesoscale and Nanoscale Physics · Physics 2024-05-20 A. V. Kavokin , S. V. Kavokina , A. A. Varlamov , Yuriy Yerin

A parameterization strategy for molecular models on the basis of force fields is proposed, which allows a rapid development of models for small molecules by using results from quantum mechanical (QM) ab initio calculations and thermodynamic…

Chemical Physics · Physics 2009-04-22 Bernhard Eckl , Jadran Vrabec , Hans Hasse

A theory of the relationship between splay elastic constant K11 and permanent molecular moment of liquid crystals is developed. The theory gives a microscopic estimation of K11 with a correct order of magnitude by calculating the…

Soft Condensed Matter · Physics 2024-06-28 Tien-Lun Ting , Tsung-Hsien Lin

The influence of molecular vibration on the Seebeck coefficient is studied within a simple model. Results of a scattering theory approach are compared to those of a full self-consistent non-equilibrium Green's function scheme. We show, for…

Mesoscale and Nanoscale Physics · Physics 2008-06-18 Michael Galperin , Abraham Nitzan , Mark A. Ratner

The paper presents a mean field theory of electrolyte solutions, extending the classical Debye-H\"{u}ckel-Onsager theory to provide a detailed description of the electrical conductivity in strong electrolyte solutions. The theory…

Soft Condensed Matter · Physics 2024-09-27 N. N. Kalikin , Yu. A. Budkov

The description of a conducting medium in thermal equilibrium, such as an electrolyte solution or a plasma, involves nonlinear electrostatics, a subject rarely discussed in the standard electricity and magnetism textbooks. We consider in…

Chemical Physics · Physics 2018-08-01 C. G. Gray , P. J. Stiles

The nonisothermal single-component theory of droplet nucleation (Alekseechkin, 2014) is extended to binary case; the droplet volume V, composition x, and temperature T are the variables of the theory. An approach based on macroscopic…

Chemical Physics · Physics 2015-09-02 Nikolay V. Alekseechkin

This paper presents a thermodynamically consistent model for multicomponent electrolyte solutions. The first part of this paper derives the general governing equations for nonequilibrium systems within the theory of nonequilibrium…

Analysis of PDEs · Mathematics 2016-05-25 Matthias Herz , Peter Knabner

In a one-component fluid, we investigate evaporation of a small axysymmetric liquid droplet in the partial wetting condition on a heated wall at $T\sim 0.9 T_c$. In the dynamic van der Waals theory (Phys. Rev. E {\bf 75}, 036304 (2007)), we…

Soft Condensed Matter · Physics 2009-11-13 Ryohei Teshigawara , Akira Onuki

Quantum turbulence deals with the phenomenon of turbulence in quantum fluids, such as superfluid helium and trapped Bose-Einstein condensates (BECs). Although much progress has been made in understanding quantum turbulence, several…

In a recent paper, Phys. Rev E 81, 041137 (2010), the author attempts to derive ten necessary conditions for stability of dissipative fluids and plasmas. Assuming the validity of the local equilibrium principle, these criteria have been…

Statistical Mechanics · Physics 2015-06-11 Giorgio Sonnino , Mustapha Tlidi , Jarah Evslin

The Dirichlet Principle is an approach to solving the Dirichlet problem by means of a Dirichlet energy integral. It is part of the folklore of mathematics that the genesis of this argument was motivated by physical analogy involving…

History and Overview · Mathematics 2026-02-03 Steven Deckelman

A microscopic model able to describe simultaneously the dynamic viscosity and the self-diffusion coefficient of fluids is presented. This model is shown to emerge from the introduction of fractional calculus in a usual model of condensed…

Statistical Mechanics · Physics 2021-11-24 F. Aitken , F. Volino

A set of nonlinear equations for the macroscopic theory of elastic semiconductors is derived which generalizes the seminal work of Tiersten by including the inertia of the mobile charge carriers. The equations obtained can describe carrier…

Materials Science · Physics 2024-03-13 Jiashi Yang

We formulate a relativistic hydrodynamic theory for fluids with spin and intrinsic dilation charges. Using an entropy-current analysis, we derive constitutive relations featuring a bulk viscosity and a dilation conductivity governing the…

High Energy Physics - Theory · Physics 2026-03-19 Zhong-Hua Zhang , Xi-Hu Lv , Xu-Guang Huang

A self-consistent mode-coupling theory is presented for the viscosity of solutions of charged rod-like polymers. The static structure factor used in the theory is obtained from polymer integral equation theory; the Debye-H\"{u}ckel…

Soft Condensed Matter · Physics 2009-11-10 Kunimasa Miyazaki , Biman Bagchi , Arun Yethiraj

Starting from the classical Saltzman 2D convection equations, we derive via a severe spectral truncation a minimal 10 ODE system which includes the thermal effect of viscous dissipation. Neglecting this process leads to a dynamical system…

Chaotic Dynamics · Physics 2011-10-11 Valerio Lucarini , Klaus Fraedrich

In spite of intensive studies on thermoelectricity in metals, little is known about thermoelectric response in semiconductors at low temperature. An even more fascinating and unanswered question is what happens to the Seebeck coefficient…

Strongly Correlated Electrons · Physics 2024-02-06 Yuna Nakajima , Yuichi Akahama , Yo Machida