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Inspired by the Boltzmann kinetics, we propose a collision-based dynamics with a Monte Carlo solution algorithm that approximates the solution of the multi-marginal optimal transport problem via randomized pairwise swapping of sample…

Artificial Intelligence · Computer Science 2025-08-05 Mohsen Sadr , Hossein Gorji

The quantum harmonic oscillator is the fundamental building block to compute thermal properties of virtually any dielectric crystal at low temperatures in terms of phonons, extended further to cases with anharmonic couplings, or even…

Statistical Mechanics · Physics 2021-10-05 Vladislav Efremkin , Jean-Louis Barrat , Stefano Mossa , Markus Holzmann

The prediction of structure dependent molecular properties, such as collision cross sections as measured using ion mobility spectrometry, are crucially dependent on the selection of the correct population of molecular conformers. Here, we…

Chemical Physics · Physics 2020-10-16 Felicity F. Nielson , Sean M. Colby , Dennis G. Thomas , Ryan S. Renslow , Thomas O. Metz

With the existence and uniqueness of a vector value solution for the full non-linear homogeneous Boltzmann system of equations describing multi-component monatomic gas mixtures for binary interactions proved [8], we present in this…

Analysis of PDEs · Mathematics 2020-01-28 Erica de la Canal , Irene M. Gamba , Milana Pavić-Čolić

A recent solution of the inelastic Boltzmann equation that applies for strong dissipation and takes into account non-equipartition of energy is used to derive an explicit expression for the thermal diffusion factor. This parameter provides…

Statistical Mechanics · Physics 2009-11-11 Vicente Garzo

Atomic-level simulations are widely used to study biomolecules and their dynamics. A common goal in such studies is to compare simulations of a molecular system under several conditions -- for example, with various mutations or bound…

Biomolecules · Quantitative Biology 2025-01-07 Martin Vögele , Neil J. Thomson , Sang T. Truong , Jasper McAvity , Ulrich Zachariae , Ron O. Dror

We present a general phase-space kinetic model for charged particle transport through combined localised and delocalised states, capable of describing scattering collisions, trapping, detrapping and losses. The model is described by a…

Statistical Mechanics · Physics 2016-09-14 Peter W. Stokes , Bronson Philippa , Daniel Cocks , Ronald D. White

Recent experiments have probed quantum dots through transport measurements in the regime where they are described by a two lead Anderson model. In this paper we develop a new method to analytically compute for the first time the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Robert Konik , Hubert Saleur , Andreas Ludwig

We present a Physics-Informed Neural Network (PINN) to simulate the thermochemical evolution of a composite material on a tool undergoing cure in an autoclave. In particular, we solve the governing coupled system of differential equations…

Machine Learning · Computer Science 2021-06-16 Sina Amini Niaki , Ehsan Haghighat , Trevor Campbell , Anoush Poursartip , Reza Vaziri

In this paper, we study chance constrained mixed integer program with consideration of recourse decisions and their incurred cost, developed on a finite discrete scenario set. Through studying a non-traditional bilinear mixed integer…

Optimization and Control · Mathematics 2016-10-05 Bo Zeng , Yu An , Ludwig Kuznia

The structure and function of biological molecules are strongly influenced by the water and dissolved ions that surround them. This aqueous solution (solvent) exerts significant electrostatic forces in response to the biomolecule's…

Numerical Analysis · Mathematics 2015-12-29 Matthew G. Knepley , Jaydeep P. Bardhan

Calculations of electronic and optical properties of solids at finite temperature including electron-phonon interactions and quantum zero-point renormalization have enjoyed considerable progress during the past few years. Among the emerging…

Materials Science · Physics 2020-04-01 Marios Zacharias , Feliciano Giustino

A model polydisperse fluid represents many real fluids such as colloidal suspensions and polymer solutions. In this study, considering a concentrated size-polydisperse hard sphere fluid with size derived from two different distribution…

Soft Condensed Matter · Physics 2022-11-23 Thokchom Premkumar Meitei , Lenin S. Shagolsem

The Boltzmann kinetic equation for dilute granular suspensions under simple (or uniform) shear flow (USF) is considered to determine the non-Newtonian transport properties of the system. In contrast to previous attempts based on a…

Soft Condensed Matter · Physics 2024-03-18 Rubén Gómez González , Vicente Garzó

We present a collision model for phase-resolved Direct Numerical Simulations of sediment transport that couple the fluid and particles by the Immersed Boundary Method. Typically, a contact model for these types of simulations comprises a…

Fluid Dynamics · Physics 2017-04-18 Edward Biegert , Bernhard Vowinckel , Eckart Meiburg

The achievement of Bose-Einstein condensation (BEC) in ultracold vapors of alkali atoms has given enormous impulse to the theoretical and experimental study of dilute atomic gases in condensed quantum states inside magnetic traps and…

Mathematical Physics · Physics 2017-11-21 Weizhu Bao

Granular systems confined in a shallow box and driven by vertical vibration provide a simple geometry to study fluidized granular media. Grains gain kinetic energy vertically through collisions with the walls and redistribute it…

Soft Condensed Matter · Physics 2026-04-21 Ricardo Brito , Rodrigo Soto , Vicente Garzó

We provide a practical approach to the molecular production via linear downward sweeps of Feshbach resonances in degenerate Fermi gases containing incoherent mixtures of two atomic spin states. We show that the efficiency of the association…

Other Condensed Matter · Physics 2007-05-23 Jan Chwedenczuk , Krzysztof Goral , Thorsten Koehler , Paul S. Julienne

Predicting the charged particle transport properties of warm dense matter / hot dense plasma mixtures is a challenge for analytical models. High accuracy ab initio methods are more computationally expensive, but can provide critical insight…

Plasma Physics · Physics 2024-04-12 Alexander J. White , Galen T. Craven , Vidushi Sharma , Lee A. Collins

The possibility to extract properties of an interface between two immiscible liquids, e.g., electrolyte solutions or polyelectrolyte multilayers, by means of impedance spectroscopy is investigated theoretically within a dynamic density…

Soft Condensed Matter · Physics 2013-11-22 Andreas Reindl , Markus Bier