heseltine, james kim, eun-jin

Uhlenbeck (O-U) process and compare the information length with entropy-based metrics (relative entropy, Jensen divergence) as well as others. By measuring the total information length in the long time limit, we show that it is only the information length that preserves the linear geometry of the O-U process. In the coupled O-U process, the informa...

Nekrasov, S. A. Chernoyivan, D. N.
Published in
Mathematical Models and Computer Simulations

AbstractThe article investigates the questions of calculating the dynamics of quantum gases on the basis of the stochastic interpretation of Schrödinger equation. A comparison of several appropriate methods for solve of equations of quantum mechanics – based on the method of simulating the dynamics of quantum particles as a Brownian motion, using a...

ahmad, bashir alghanmi, madeaha alsaedi, ahmed srivastava, hari. m. ntouyas, sotiris k.

In this paper, we establish sufficient conditions for the existence of solutions for a nonlinear Langevin equation based on Liouville-Caputo-type generalized fractional differential operators of different orders, supplemented with nonlocal boundary conditions involving a generalized integral operator. The modern techniques of functional analysis ar...

Lin, H. Croy, A Gutierrez, R Joachim, C. Cuniberti, C

Downsizing of devices opens the question of how to tune not only their electronic properties, but alsoof how to influence ‘mechanical’ degrees of freedom such as translational and rotational motions.Experimentally, this has been meanwhile demonstrated by manipulating individual molecules withe.g. current pulses from a Scanning Tunneling Microscope ...

Efremov, A.N.

We consider a general solution of the Langevin equation describing massive fermions to an appropriate boundary problem. Assuming existence of such solution we show that its correlators coincide with the Schwinger functions of corresponding Euclidean Quantum Field Theory.

Pinol, Lucas Renaux-Petel, Sébastien Tada, Yuichiro

The stochastic approach aims at describing the long-wavelength part of quantum fields during inflation by a classical stochastic theory. It is usually formulated in terms of Langevin equations, giving rise to a Fokker–Planck equation for the probability distribution function of the fields, and possibly their momenta. The link between these two desc...

Herold, Christoph Kittiratpattana, Apiwit Kobdaj, Chinorat Limphirat, Ayut Yan, Yupeng Nahrgang, Marlene Steinheimer, Jan Bleicher, Marcus

We study the production of entropy in the context of a nonequilibrium chiral phase transition. The dynamical symmetry breaking is modeled by a Langevin equation for the order parameter coupled to the Bjorken dynamics of a quark plasma. We investigate the impact of dissipation and noise on the entropy and explore the possibility of reheating for cro...

Pattison, Chris Vennin, Vincent Assadullahi, Hooshyar Wands, David

We study the stochastic formalism of inflation beyond the usual slow-roll approximation. We verify that the assumptions on which the stochastic formalism relies still hold even far from the slow-roll attractor. This includes demonstrating the validity of the separate universe approach to evolving long-wavelength scalar field perturbations beyond sl...

Xu, Yingru Bass, Steffen A. Moreau, Pierre Song, Taesoo Nahrgang, Marlene Bratkovskaya, Elena Gossiaux, Pol Aichelin, Jorg Cao, Shanshan Greco, Vincenzo
...

Heavy flavor observables provide valuable information on the properties of the hot and dense quark-gluon plasma (QGP) created in ultrarelativistic nucleus-nucleus collisions. Various microscopic models have successfully described many of the observables associated with its formation. Their transport coefficients differ, however, due to different as...

Véron, Alain R. Martins, Assis F.
Published in
Bulletin of Mathematical Biology

We present a theoretical investigation of a polymerization process catalyzed by an enzyme. A structural model of enzyme, sliding along the polymer chain as a Brownian particle, is proposed, and a stochastic approach is employed to describe the kinetics of the whole process. The key point of this work is the coupling mechanics/chemistry obtained by ...