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Self-activation coupled to a transport mechanism results in traveling waves that describe polymerization reactions, forest fires, tumor growth, and even the spread of epidemics. Diffusion is a simple and commonly used model of particle…

Statistical Mechanics · Physics 2020-07-06 Keisuke Ishihara , Ashish B. George , Ryan Cornelius , Kirill S. Korolev

We provide molecular dynamics simulation of heat transport and thermal energy diffusion in one-dimensional molecular chains with different interparticle pair potentials at zero and non-zero temperature. We model the thermal conductivity…

Mesoscale and Nanoscale Physics · Physics 2015-09-11 Yuriy A. Kosevich , Alexander V. Savin

Light-harvesting via the transport and trapping of optically-induced electronic excitations is of fundamental interest to the design of new energy efficient quantum technologies. Using a paradigmatic quantum optical model, we study the…

Quantum Physics · Physics 2024-08-08 Jonah S. Peter , Raphael Holzinger , Stefan Ostermann , Susanne F. Yelin

The existence of global weak solutions to a parabolic energy-transport system in a bounded domain with no-flux boundary conditions is proved. The model can be derived in the diffusion limit from a kinetic equation with a linear collision…

Analysis of PDEs · Mathematics 2023-07-18 Gianluca Favre , Ansgar Jüngel , Christian Schmeiser , Nicola Zamponi

We characterize steady-state static and dynamic properties in a broad class of mass transport processes on a periodic hypercubic lattice of volume $L^d$, where both mass and {\it center-of-mass} (CoM) remain conserved and detailed balance…

Statistical Mechanics · Physics 2025-03-31 Animesh Hazra , Anirban Mukherjee , Punyabrata Pradhan

We present a combined theory-experiment study to quantify spin diffusion in the square lattice quantum spin-1/2 XY model at finite temperature. On the theory side, we leverage a recently developed dynamical high-temperature expansion method…

Quantum state transport is an important way to study the energy or information flow. By combining the unconventional Rydberg pumping mechanism and the diagonal form of van der Waals interactions, we construct a theoretical model via…

Quantum Physics · Physics 2022-03-10 X. X. Li , J. B. You , X. Q. Shao , Weibin Li

The impact of the dispersion of the transport coefficients on the structure of the energy distribution function for charge carriers far from equilibrium has been investigated in effective-medium approximation for model densities of states.…

Disordered Systems and Neural Networks · Physics 2009-11-10 O. Bleibaum , H. Boettger , V. V. Bryksin

Identifying universal properties of non-equilibrium quantum states is a major challenge in modern physics. A fascinating prediction is that classical hydrodynamics emerges universally in the evolution of any interacting quantum system.…

Quantum Physics · Physics 2024-12-03 M. K. Joshi , F. Kranzl , A. Schuckert , I. Lovas , C. Maier , R. Blatt , M. Knap , C. F. Roos

We employ the Keldysh formalism in the quasiclassical approximation to study transport in a diffusive superconductor. The resulting 4x4 transport equations describe the flow of charge and energy as well as the corresponding flow of spin and…

Superconductivity · Physics 2007-05-23 Jan Petter Morten , Arne Brataas , Wolfgang Belzig

This paper establishes new connections between many-body quantum systems, One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT), by interpreting the problem of computing the ground-state energy of a finite…

Mathematical Physics · Physics 2021-07-22 Dario Feliciangeli , Augusto Gerolin , Lorenzo Portinale

It is shown that energy transfer in a homogeneous fully connected quantum network is assisted by a decohering interaction with environmental spins. Analytic expressions for the transfer probabilities are obtained for the zero temperature…

Quantum Physics · Physics 2014-01-28 A. Marais , I. Sinayskiy , A. Kay , F. Petruccione , A. Ekert

Ultracold atoms confined by engineered magnetic or optical potentials are ideal systems for studying phenomena otherwise difficult to realize or probe in the solid state because their atomic interaction strength, number of species, density,…

Quantum Gases · Physics 2016-01-20 Chih-Chun Chien , Sebastiano Peotta , Massimiliano Di Ventra

The theory of transport phenomena in multicomponent electrolyte solutions is presented here through the integration of continuum mechanics, electromagnetism, and non-equilibrium thermodynamics. The governing equations of irreversible…

Statistical Mechanics · Physics 2020-11-02 Kara D. Fong , Helen K. Bergstrom , Bryan D. McCloskey , Kranthi K. Mandadapu

The stochastic differential equations for a model of dissipative particle dynamics, with both total energy and total momentum conservation at every time-step, are presented. The algorithm satisfies detailed balance as well as the…

Statistical Mechanics · Physics 2007-05-23 Allan D. Mackie , Josep Bonet Avalos

Efficient transport and harvesting of excitation energy under low light conditions is an important process in nature and quantum technologies alike. Here we formulate a quantum optics perspective to excitation energy transport in…

Quantum Physics · Physics 2024-03-06 Raphael Holzinger , Jonah Peter , Stefan Ostermann , Helmut Ritsch , Susanne Yelin

We experimentally, numerically and analytically explore the diffusive transport of active colloidal particles with sensory delay, navigating motility landscapes in which the self-propulsion speed depends on space. We show how the transport…

Statistical Mechanics · Physics 2026-04-29 Adrià Garcés , Ueli Töpfer , Lucio Isa , Demian Levis , Ignacio Pagonabarraga

We discuss recent findings about properties of quantum nonequilibrium steady states. In particular we focus on transport properties. It is shown that the time dependent density matrix renormalization method can be used successfully to find…

Quantum Physics · Physics 2011-11-15 Marko Znidaric

A reduced 1D model describing the non-linear hybrid LIGKA/HAGIS simulations was developed and successfully tested in [Carlevaro et al. PPCF 64, 035010 (2022)] addressing the ITER 15MA baseline scenario. In this paper, we introduce a…

Plasma Physics · Physics 2024-09-20 Nakia Carlevaro , Matteo V. Falessi , Giovanni Montani , Philipp Lauber

The cross-over from coherent to incoherent exciton transport in disordered polymer films is studied by computationally solving a modified form of the Redfield equation for the exciton density matrix. This theory models quantum mechanical…

Chemical Physics · Physics 2007-05-23 William Barford , Christopher D P Duffy