The mesoscopic dynamics of thermodynamic systems

D Reguera, JM Rubi, JMG Vilar - The Journal of Physical …, 2005 - ACS Publications
Concepts of everyday use such as energy, heat, and temperature have acquired a precise
meaning after the development of thermodynamics. Thermodynamics provides the basis for …

Kinetics of growth process controlled by mass-convective fluctuations and finite-size curvature effects

A Gadomski, J Siódmiak, I Santamaria-Holek… - arXiv preprint cond-mat …, 2005 - arxiv.org
In this study, a comprehensive view of a model crystal formation in a complex fluctuating
medium is presented. The model incorporates Gaussian curvature effects at the crystal …

Local quasi-equilibrium description of slow relaxation systems

I Santamarıa-Holek, A Pérez-Madrid… - The Journal of chemical …, 2004 - pubs.aip.org
We present a dynamical description of slow relaxation processes based on the extension of
Onsager's fluctuation theory to systems in local quasi-equilibrium. A non-Markovian Fokker …

Slow dynamics and local quasi-equilibrium—relaxation in supercooled colloidal systems

JM Rubí, I Santamaría-Holek… - Journal of Physics …, 2004 - iopscience.iop.org
Abstract We present a Fokker–Planck description of supercooled colloidal systems
exhibiting slow relaxation dynamics. Assuming the existence of a local quasi-equilibrium …

Kinetic–thermodynamic effects accompanying model protein-like aggregation: The wave-like limit and beyond it

A Gadomski - Physica A: Statistical Mechanics and its Applications, 2007 - Elsevier
A fairly idealized, mainly spheroid-type (dis) ordered aggregation of proteins is considered.
The consideration is basically given in terms of the nonequilibrium thermodynamics at a …

Polymer Concentration Regimes from Fractional Microrheology

A Panahi, D Pu, G Natale, AM Benneker - arXiv preprint arXiv:2403.10130, 2024 - arxiv.org
In this work, a framework for deriving theoretical equations for mean squared displacement
(MSD) and fractional Fokker-Planck (FFP) is developed for any arbitrary rheological model …

Mesoscopic thermodynamics of stationary non-equilibrium states

I Santamaría-Holek, JM Rubi… - New Journal of …, 2005 - iopscience.iop.org
Thermodynamics for systems at non-equilibrium stationary states have been formulated,
based on the assumption of the existence of a local equilibrium in phase space which …

Finite-size effects in microrheology

I Santamaría-Holek, JM Rubi - The Journal of chemical physics, 2006 - pubs.aip.org
We propose a model to explain finite-size effects in intracellular microrheology observed in
experiments. The constrained dynamics of the particles in the intracellular medium, treated …

Fractional Fokker–Planck equations and artificial neural networks for stochastic control of Tokamak

D Rastovic - Journal of fusion energy, 2008 - Springer
The general form of description of Kolmogorov–Arnold–Moser (KAM) theorem in controlled
plasma fusion, is obtained via the theory of artificial fuzzy neural networks. Without of the …

The non-equilibrium thermodynamics approach to the dynamics of mesoscopic systems

JM Rubi - 2004 - degruyter.com
We show that the method of non-equilibrium thermodynamics can be applied to describe the
behaviour of systems defined at the meso-scale whose dynamics is mediated by the …