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We apply well-established concepts of Langevin sampling to derive a new class of algorithms for the efficient computation of free energy differences of fluctuating particles embedded in a 'fast' membrane, i.e., a membrane that…

数值分析 · 数学 2020-10-01 Tobias Kies , Carsten Gräser , Luigi Delle Site , Ralf Kornhuber

The role of external forces in systems exhibiting anomalous diffusion is discussed on the basis of the describing Langevin equations. Since there exist different possibilities to include the effect of an external field the concept of {\it…

统计力学 · 物理学 2015-05-13 S. Eule , R. Friedrich

We introduce a stochastic equation for the microscopic motion of a tagged particle in the single file model. This equation provides a compact representation of several of the system's properties such as Fluctuation-Dissipation and Linear…

统计力学 · 物理学 2009-11-13 Alessandro Taloni , Michael A. Lomholt

A novel quantum dynamical model based on the dissipative quantum dynamics of open quantum systems is presented. It allows the treatment of both deep-inelastic processes and quantum tunneling (fusion) within a fully quantum mechanical…

Starting from the most general formulation of stochastic thermodynamics---i.e. a thermodynamically consistent nonautonomous stochastic dynamics describing systems in contact with several reservoirs---, we define a procedure to identify the…

统计力学 · 物理学 2018-02-07 Riccardo Rao , Massimiliano Esposito

We use Langevin dynamics simulations to study dense 2d systems of particles with both size and energy polydispersity. We compare two types of bidisperse systems which differ in the correlation between particle size and interaction…

软凝聚态物质 · 物理学 2020-06-24 Itay Azizi , Yitzhak Rabin

We present a new way of quantum kinetic equation derivation. This method appears as a natural generalization of the many-particle quantum hydrodynamic method. Kinetic equations are derived for different system of particles. First of all we…

等离子体物理 · 物理学 2012-12-04 Pavel A. Andreev

A nonequilibrium fluctuation theorem is established for a colloidal particle driven by an external force within the hydrodynamic theory of Brownian motion, describing hydrodynamic memory effects such as the t^(-3/2) power-law decay of the…

统计力学 · 物理学 2020-06-24 Pierre Gaspard

We consider systems of interacting particles which are described by a second order Langevin equation. The class of equations considered includes the situation where the particle evolution is governed by Hamiltonian dynamics with additional…

偏微分方程分析 · 数学 2025-07-29 Fenna Müller , Max von Renesse , Johannes Zimmer

The Liouville equation is of fundamental importance in the derivation of continuum models for physical systems which are approximated by interacting particles. However, when particles undergo instantaneous interactions such as collisions,…

统计力学 · 物理学 2019-10-16 T. D. Hurst , B. D. Goddard , M. Wilkinson

We present a position Langevin equation for overdamped particle motion on rough two-dimensional surfaces. A Brownian Dynamics algorithm is suggested to evolve this equation numerically, allowing for the prediction of effective (projected)…

软凝聚态物质 · 物理学 2009-11-13 Ali Naji , Frank L. H. Brown

We present a Generalized Langevin Equation for the dynamics of interacting semiflexible polymer chains, undergoing slow cooperative dynamics. The calculated Gaussian intermolecular center-of-mass and monomer potentials, wich enter the GLE,…

统计力学 · 物理学 2009-11-07 M. Guenza

A Langevin equation of heavy quarks in high-temperature quark-gluon plasma is derived. The dynamics of heavy quark color is coupled with the phase space dynamics and causes a macroscopic superposition state of heavy quark momentum.…

核理论 · 物理学 2015-10-23 Yukinao Akamatsu

It is shown, that by means of a special projection operator, the Liouville equation for an N-particle distribution function of classical particles, driven from an equilibrium state by an external field, can be exactly converted into a…

统计力学 · 物理学 2020-06-24 Victor Los

We study the non-equilibrium dissipative dynamics of the center of mass of a particle coupled to a field via its internal degrees of freedom. We model the internal and external degrees of freedom of the particle as quantum harmonic…

量子物理 · 物理学 2021-03-25 Kanupriya Sinha , Adrián Ezequiel Rubio López , Yiğit Subaşı

The molecular dynamics lattice gas method maps a molecular dynamics simulation onto a lattice gas using a coarse-graining procedure. This is a novel fundamental approach to derive the lattice Boltzmann method by taking a Boltzmann average…

计算物理 · 物理学 2021-10-04 Aleksandra Pachalieva , Alexander J. Wagner

Using the initial-value formulation, a dynamic theory for systems evolving according to a Generalized Langevin Equation is developed, providing more restrictive conditions on the existence of equilibrium behavior and its…

统计力学 · 物理学 2024-03-11 Massimiliano Giona , Giuseppe Procopio , Chiara Pezzotti

We use computer simulations to test a simple idea for mapping between long-time self diffusivities obtained from molecular and Brownian dynamics. The strategy we explore is motivated by the behavior of fluids comprising particles that…

软凝聚态物质 · 物理学 2011-10-25 Mark J. Pond , Jeffrey R. Errington , Thomas M. Truskett

Theories with a sign problem due to a complex action or Boltzmann weight can sometimes be numerically solved using a stochastic process in the complexified configuration space. However, the probability distribution effectively sampled by…

高能物理 - 格点 · 物理学 2025-10-06 Gert Aarts , Diaa E. Habibi , Lingxiao Wang , Kai Zhou

The fluctuation-dissipation theory is grounded on the Langevin condition expressing the local independence between the thermal force and the particle velocity history. Upon hydrodynamic grounds, it is reasonable to relax this condition in…

统计力学 · 物理学 2024-12-30 Massimiliano Giona , Giuseppe Procopio , Chiara Pezzotti