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The chemical Langevin equation (CLE) is a popular simulation method to probe the stochastic dynamics of chemical systems. The CLE's main disadvantage is its break down in finite time due to the problem of evaluating square roots of negative…

Quantitative Methods · Quantitative Biology 2014-07-22 David Schnoerr , Guido Sanguinetti , Ramon Grima

We introduce a scheme for deriving an optimally-parametrised Langevin dynamics of few collective variables from data generated in molecular dynamics simulations. The drift and the position-dependent diffusion profiles governing the Langevin…

Statistical Mechanics · Physics 2008-08-22 Cristian Micheletti , Giovanni Bussi , Alessandro Laio

Laser trapped nanoparticles have been recently used as model systems to study fundamental relations holding far from equilibrium. Here we study, both experimentally and theoretically, a nanoscale silica sphere levitated by a laser in a low…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Jan Gieseler , Lukas Novotny , Clemens Moritz , Christoph Dellago

Recently, we have shown how a colored-noise Langevin equation can be used in the context of molecular dynamics as a tool to obtain dynamical trajectories whose properties are tailored to display desired sampling features. In the present…

Computational Physics · Physics 2012-04-05 Michele Ceriotti , Giovanni Bussi , Michele Parrinello

The numerical investigation of the statics and dynamics of systems in nonequilibrium in general, and under shear flow in particular, has become more and more common. However, not all the numerical methods developed to simulate equilibrium…

Soft Condensed Matter · Physics 2019-02-08 José Ruiz-Franco , Lorenzo Rovigatti , Emanuela Zaccarelli

Molecules like water have vibrational modes with a zero-point energy well above room temperature. As a consequence, classical molecular dynamics simulations of their liquids largely underestimate the energy of modes with a higher zero-point…

Statistical Mechanics · Physics 2013-05-08 Sriram Ganeshan , Rafael Ramírez , M. V. Fernández-Serra

Complex Langevin dynamics can be used to perform numerical simulations of theories with a complex action. In order to justify the procedure, it is important to understand the properties of the real and positive distribution, which is…

High Energy Physics - Lattice · Physics 2013-09-13 Pietro Giudice , Gert Aarts , Erhard Seiler

Generalized Langevin Equation (GLE) thermostats have been used very effectively as a tool to manipulate and optimize the sampling of thermodynamic ensembles and the associated static properties. Here we show that a similar, exquisite level…

Chemical Physics · Physics 2017-09-06 Mariana Rossi , Venkat Kapil , Michele Ceriotti

Self-interacting scalar quantum field theories possessing $PT$-symmetry are physically admissible since their energy spectrum is real and bounded below. However, models with $PT$-invariant potentials can have complex actions in general and…

High Energy Physics - Lattice · Physics 2022-01-31 Arpith Kumar , Anosh Joseph

The validity of the Langevin equation (both classical and quantum) is studied in cases when not all the equations of motion are linear. In particular, a model is studied in which the interaction is bilinear in the environment variables. We…

Other Condensed Matter · Physics 2012-01-24 J Frenkel , J C Taylor

Generalized Langevin equation for characteristic functional of many-electron system dynamically interacting with a thermostat and besides subjected to external perturbation and observation is derived and formulated in terms of one-particle…

Statistical Mechanics · Physics 2007-05-23 Yuriy E. Kuzovlev

Evaluating the linear response of a driven system to a change in environment temperature(s) is essential for understanding thermal properties of nonequilibrium systems. The system is kept in weak contact with possibly different fast…

Statistical Mechanics · Physics 2014-12-01 Marco Baiesi , Urna Basu , Christian Maes

We study Langevin dynamics with a kinetic energy different from the standard, quadratic one in order to accelerate the sampling of Boltzmann-Gibbs distributions. In particular, this kinetic energy can be non-globally Lipschitz, which raises…

Statistical Mechanics · Physics 2018-05-15 Gabriel Stoltz , Zofia Trstanova

We study the exponential convergence to the stationary state for nonequilibrium Langevin dynamics, by a perturbative approach based on hypocoercive techniques developed for equilibrium Langevin dynamics. The Hamiltonian and overdamped…

Mathematical Physics · Physics 2017-07-06 Alessandra Iacobucci , Stefano Olla , Gabriel Stoltz

We study a system of interacting particles in the presence of the relativistic kinetic energy, external confining potentials, singular repulsive forces as well as a random perturbation through an additive white noise. In comparison with the…

Probability · Mathematics 2026-05-21 Manh Hong Duong , Hung Dang Nguyen

We reconsider complex scalar singlet dark matter stabilised by a $\mathbb{Z}_{3}$ symmetry. We refine the stability bounds on the potential and use constraints from unitarity on scattering at finite energy to place a stronger lower limit on…

High Energy Physics - Phenomenology · Physics 2019-04-10 Andi Hektor , Andrzej Hryczuk , Kristjan Kannike

In this work, we present UV completions of the recently proposed number-changing Co-SIMP freeze-out mechanism. In contrast to the standard cannibalistic-type dark matter picture that occurs entirely in the dark sector, the $3\to 2$ process…

High Energy Physics - Phenomenology · Physics 2023-08-28 Aditya Parikh , Juri Smirnov , Weishuang Linda Xu , Bei Zhou

Thermal relics lighter than an MeV contribute to the energy density of the universe at the time of nucleosynthesis and recombination. Constraints on extra radiation degrees of freedom typically exclude even the simplest of such dark…

High Energy Physics - Phenomenology · Physics 2019-05-29 Asher Berlin , Nikita Blinov

We explore the parameter space of a variant of the SLIM model, which extends the SM with a singlet and a doublet of complex scalars and two generations of right-handed neutrinos, the lightest of which has a mass in the MeV to GeV region and…

High Energy Physics - Phenomenology · Physics 2020-11-24 Juri Fiaschi , Michael Klasen , Miguel Vargas , Christian Weinheimer , Sybrand Zeinstra

A stable real scalar provides one of the simplest possibilities to account for dark matter. We consider the regime where its coupling to the Standard Model fields is negligibly small. Due to self-coupling, the scalar field can reach thermal…

High Energy Physics - Phenomenology · Physics 2019-08-13 Giorgio Arcadi , Oleg Lebedev , Stefan Pokorski , Takashi Toma