Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 10 of 10 for “"langevin equations"”.
-
Relaxation phenomena during non-equilibrium growth
… for various growth models. For two linear Langevin equations, namely the Edwards-Wilkinson equation and the Mullins-Herring equation, we furthermore study analytically the behavior of global quantities related to the surface width or to a quantity which is conjugated to the diffusion …
-
The fate of inflation fluctuations in multi-field scenarios during inflation
… flat direction and a non-flat one. We solve the Langevin equations numerically for these two fields and contrast our results and approach with two previous studies. We find that the fluctuations of the flat direction does not saturate in the range of e-folds considered.
-
Transport in lattice fracture networks : concentration mean and variance
… transport framework, we derive effective equations for particle transport by coarse graining and ensemble averaging of the local scale Langevin equations. The results show that the mean transport can be captured exactly by an uncoupled continuous time random walk (CTRW) and the variance of …
-
Fundamental limitations between noise and back-action in bio-molecular networks
… model the system as a set of non-linear chemical Langevin equations and quantify the trade-off for two different approximations of this non-linear model. First we consider a system linearized about a fixed point and quantify the trade-off using transfer functions. Next we use a linear …
-
Theoretical and Simulation Studies of a Driven Diffusive System
… A continuum theory for the densities, based on Langevin equations, is formulated and its predictions compared to simulation data. Many large scale properties are described successfully.
-
Random-vortex-particle methods applied to broadband fan interaction noise
… and combine it with the linearised Euler equations to predict broadband fan interaction noise. In modern turbofan designs broadband fan noise is a dominant source of aircraft noise, the most efficient source being the interaction between upstream turbulence and the stator vanes. The …
-
Impact of Stochastic Transcriptional Delay on Gene Networks
… their appropriate approximating delay chemical Langevin equations. Simulations demonstrate that, if done correctly, a delay chemical Langevin approximation is accurate even at moderate system sizes. Together, these results provide a foundation for the implementation of detailed stochastic …
-
Physical Aspects of Min Oscillations in Escherichia Coli
… from this microscopic description, we derive Langevin equations for the fluctuating protein densities which correspond to the deterministic equations in the limit of vanishing noise. Stochastic simulations justify this deterministic model, showing that oscillations are resistant to the …
-
Periodic driving and nonreciprocity in cavity optomechanics
… Floquet approach to solve time-periodic quantum Langevin equations in the steady state, show that two-time correlation functions of system operators can be expanded in a Fourier series, and derive a generalized Wiener-Khinchin theorem that relates the Fourier transform of the autocorrelator to …
-
Nonlinear dissipative dynamics of optomechanical and laser arrays
In this thesis, we study nonlinear dissipative dynamics of two different systems: (i) synthetic dynamical gauge fields for photons in optomechanical arrays and (ii) laser arrays with a topologically nontrivial structure. The chosen models are relevant to state-of-the-art optomechanical experiments …