Special Issue "Thermodynamics and Statistical Mechanics of Small Systems"
Deadline for manuscript submissions: 28 February 2018
Prof. Dr. Andrea Puglisi
A challenging frontier in statistical physics concerns systems with a small number N of degrees of freedom, far from the thermodynamic limit: such an interest is motivated by the recent increase of resolution in the observation and in the manipulation of the micro-nano world. The peculiar feature of small systems is the relevance of fluctuations, which cannot be neglected. The study of fluctuations of thermodynamics quantities such as energy or entropy goes back to Einstein, Onsager and Kubo: more recently it has taken an acceleration with the establishing of new results in response theory and in the so-called stochastic thermodynamics. Such a turning point has received a great impulse from the study of systems which are far from thermodynamic equilibrium. Applications of the thermodynamics and statistical mechanics of small systems range from molecular biology to micromechanics, including, among others, models of nanotransport, of Brownian motors and of (living or artificial) self-propelled organisms.
Prof. Dr. Andrea Puglisi
Dr. Alessandro Sarracino
Prof. Dr. Angelo Vulpiani
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1500 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
- Statistical Mechanics
- Small Systems
- Stochastic Thermodynamics
- Non-Equilibrium Fluctuations
- Large Deviations
The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.
Title: Memory effects in dissipative systems with conserved momentum
Author: Carlos A. Plata and Antonio Prados
Abstract: We consider a class of lattice models in which momentum is conserved in collisions whereas energy is not. These models can be considered as a simple picture for the shear component of the velocity of a granular fluid. Therein, we analyse the emergence of memory effects, like the so-called Kovacs effect, under different drivings. The dependence of these memory effects on both the driving mechanism and the system size is investigated in detail. The latter is specially relevant in the realm of granular systems, whose number of particles is not very large and fluctuation effects are expected to be important.
Title: Information-theoretic bound on the entropy production to maintain a classical nonequilibrium distribution
Author: Jordan Horowitz
Abstract: There are many functional contexts where it is desirable to maintain a mesoscopic system in a nonequilibrium state. However, such control requires an inherent energy dissipation. In this article, we unify and extend a number of works on the minimum energetic cost to maintain a mesoscopic system in a prescribed nonequilibrium distribution. For various control mechanisms, we find that the minimum amount of energy dissipation necessary can be cast as an information-theoretic measure of distinguishability between the target nonequilibrium state and the underlying equilibrium distribution. This work offers quantitative insight into the intuitive idea that more energy to maintain a system farther from equilibrium.
Author: Shamik Gupta and Stefano Ruffo
Title: Equilibration in the Nosé-Hoover isokinetic ensemble: Effect of inter-particle interactions
Abstract: We investigate the stationary and dynamic properties of the celebrated Nosé-Hoover dynamics of many-body interacting Hamiltonian systems, with an emphasis on the effect of inter-particle interactions. To this end, we consider a model system with both short- and long-range interactions. The Nosé-Hoover dynamics aims to generate the canonical equilibrium distribution of a system at a desired temperature by employing a set of time-reversible, deterministic equations of motion. A signature of canonical equilibrium is a single-particle momentum distribution that is Gaussian. We find that the equilibrium properties of the system within the Nosé-Hoover dynamics coincides with that within the canonical ensemble. Moreover, starting from out-of-equilibrium initial conditions, the average kinetic energy of the system relaxes to its target value over a size-independent timescale. However, quite surprisingly, our results indicate that under the same conditions and with only long-range interactions present in the system, the momentum distribution relaxes to its Gaussian form in equilibrium over a scale that diverges with the system size. On adding short-range interactions, the relaxation is found to occur over a timescale that has a much weaker dependence on system size. This system-size dependence of the timescale vanishes when only short-range interactions are present in the system. An implication of such an ultra-slow relaxation when only long-range interactions are present in the system is that macroscopic observables other than the average kinetic energy when estimated in the Nosé-Hoover dynamics may take an unusually long time to relax to its canonical equilibrium value. Our work underlines the crucial role that interactions play in deciding the equivalence between Nosé-Hoover and canonical equilibrium.