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We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of…

Mathematical Physics · Physics 2015-06-12 Raphael Lefevere

We theoretically investigate the enhancement of thermoelectric cooling performance in thermoelectric devices made of materials with inhomogeneous thermal conductivity, beyond the usual practice of enhancing thermoelectric figure of merit…

Mesoscale and Nanoscale Physics · Physics 2016-02-11 Tingyu Lu , Jun Zhou , Nianbei Li , Ronggui Yang , Baowen Li

We consider the thermodynamics of chemical coupling from the viewpoint of free energy transduction efficiency. In contrast to an external parameter-driven stochastic energetics setup, the dynamic change of the equilibrium distribution…

Statistical Mechanics · Physics 2022-06-28 Kyogo Kawaguchi , Masaki Sano

We characterize finite-time thermodynamic processes of multidimensional quadratic overdamped systems. Analytic expressions are provided for heat, work, and dissipation for any evolution of the system covariance matrix. The Bures-Wasserstein…

Statistical Mechanics · Physics 2022-11-28 Paolo Abiuso , Viktor Holubec , Janet Anders , Zhuolin Ye , Federico Cerisola , Martí Perarnau-Llobet

The two-body potential of systems with long-range interactions decays at large distances as $V(r)\sim 1/r^\alpha$, with $\alpha\leq d$, where $d$ is the space dimension. Examples are: gravitational systems, two-dimensional hydrodynamics,…

Statistical Mechanics · Physics 2009-09-03 A. Campa , T. Dauxois , S. Ruffo

A generalized entropy arising in the context of superstatistics is obtained for an ideal gas. The curvature scalar associated to the thermodynamic space generated by this modified entropy is calculated using two formalisms of the geometric…

Statistical Mechanics · Physics 2018-04-18 J. L. López , O. Obregón , J. Torres-Arenas

The thermoelectric properties of polythiophene (PT) coupled to the Au (111) electrodes are studied based on density functional theory combined with nonequilibrium Green function formalism. Specially, the effect of Li and Cl adsorbents on…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Zahra Golsanamlou , Meysam Bagheri Tagani , Hamid Rahimpour Soleimani

A recently introduced particle-based model for fluid dynamics with continuous velocities is generalized to model fluids with excluded volume effects. This is achieved through the use of biased stochastic multi-particle collisions which…

Soft Condensed Matter · Physics 2007-05-23 Erkan Tuzel , Thomas Ihle , Daniel M. Kroll

In this article, we study a thermodynamically consistent thermo-visco-elastic model describing the balance of internal energy in a heat-conducting inelastic body. In the considered problem, the temperature dependence appears in both the…

Analysis of PDEs · Mathematics 2025-11-13 Tomasz Cieślak , Sebastian Owczarek , Karolina Wielgos

The aim of this paper is twofold: the first is to formulate and validate a multi-scale discrete Boltzmann method (DBM) based on density functional kinetic theory for thermal multiphase flow systems, ranging from continuum to transition flow…

Fluid Dynamics · Physics 2022-11-08 Yanbiao Gan , Aiguo Xu , Huilin Lai , Wei Li , Guanglan Sun , Sauro Succi

We study the contribution of advection by thermal velocity fluctuations to the effective diffusion coefficient in a mixture of two identical fluids. The steady-state diffusive flux in a finite system subject to a concentration gradient is…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 A. Donev , A. de la Fuente , J. B. Bell , A. L. Garcia

We investigate a one-dimenisonal Hamiltonian system that describes a system of particles interacting through short-range repulsive potentials. Depending on the particle mean energy, $\epsilon$, the system demonstrates a spectrum of kinetic…

Statistical Mechanics · Physics 2009-11-10 S. Denisov , A. Filippov , J. Klafter , M. Urbakh

In this paper, we derive a number of inequalities which express power-efficiency trade-offs that hold generally for thermodynamic machines operating in non-equilibrium stationary states. One of these inequalities concerns the output power,…

Statistical Mechanics · Physics 2019-09-04 Hadrien Vroylandt , David Lacoste , Gatien Verley

Potential energy landscape (PEL) is essential to determine phase stability, reaction path, and other important physical as well as chemical properties. Whereas given PEL can reasonably determine the properties in thermodynamically…

Disordered Systems and Neural Networks · Physics 2018-10-17 Koretaka Yuge

We performed Boltzmann transport calculation to obtain the Seebeck coefficient, electrical conductivity, electronic thermal conductivity, and thermoelectric figure of merit (ZT) for Dirac systems. We found an enhancement of ZT due to the…

Mesoscale and Nanoscale Physics · Physics 2018-10-04 Eddwi H. Hasdeo , Lukas P. A. Krisna , Ahmad R. T. Nugraha

We perform an analytic study on the stochastic thermodynamics of a small classical particle trapped in a time dependent single-well potential in the highly underdamped limit. It is shown that the nonequilibrium probability density function…

Statistical Mechanics · Physics 2019-06-26 Domingos S. P. Salazar , Sérgio A. Lira

We investigate the overdamped stochastic dynamics of a particle in an asymptotically flat external potential field, in contact with a thermal bath. For an infinite system size, the particles may escape the force field and diffuse freely at…

Statistical Mechanics · Physics 2020-06-24 Erez Aghion , David A. Kessler , Eli Barkai

The electronic properties of disordered systems have been the subject of intense study for several decades. Thermoelectric properties, such as thermopower and thermal conductivity, have been relatively neglected. A long standing problem is…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. A. Roemer , A. MacKinnon , C. Villagonzalo

We study a one-dimensional model for granular gases, the so-called Inelastic Maxwell Model. We show theoretically the existence of stationary solutions of the unforced case, that are characterized by an infinite average energy per particle.…

Statistical Mechanics · Physics 2007-06-13 R. Lambiotte , L. Brenig

The combined influence of disorder and interactions on the transport properties of electrons in one dimension is investigated. The numerical simulations are carried out by means of the Hartree-Fock-based diagonalization (HFD), a very…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Michael Schreiber , Frank Epperlein , Thomas Vojta