161 citations · 2k across the 112 of their papers we have counts for
18 papers · 1 filter
Data-driven Reduction of Transfer Operators for Particle Clustering Dynamics
Nathalie Wehlitz, Grigorios A. Pavliotis, Christof Schütte +1
We develop an operator-based framework to coarse-grain interacting particle systems that exhibit clustering dynamics. Starting from the particle-based transfer operator, we first c…
Response Theory Identifies Reaction Coordinates and Explains Critical Phenomena in Noisy Interacting Systems
Niccolò Zagli, Valerio Lucarini, Grigorios Pavliotis
We consider a class of nonequilibrium systems of interacting agents with pairwise interactions and quenched disorder in the dynamics featuring, in the thermodynamic limit, phase tr…
The entropy production of stationary diffusions
Lancelot Da Costa, Grigorios A. Pavliotis
The entropy production rate is a central quantity in non-equilibrium statistical physics, scoring how far a stochastic process is from being time-reversible. In this paper, we comp…
Dimension reduction of noisy interacting systems
Niccolò Zagli, Grigorios A. Pavliotis, Valerio Lucarini +1
We consider a class of models describing an ensemble of identical interacting agents subject to multiplicative noise. In the thermodynamic limit, these systems exhibit continuous a…
The free energy principle made simpler but not too simple
Karl Friston, Lancelot Da Costa, Noor Sajid +4
This paper provides a concise description of the free energy principle, starting from a formulation of random dynamical systems in terms of a Langevin equation and ending with a Ba…
Spectroscopy of phase transitions for multiagent systems
Niccolo Zagli, Valerio Lucarini, Grigorios. A. Pavliotis
In this paper we study phase transitions for weakly interacting multiagent systems. By investigating the linear response of a system composed of a finite number of agents, we are a…
Response Theory and Phase Transitions for the Thermodynamic Limit of Interacting Identical Systems
Valerio Lucarini, G. A. Pavliotis, Niccolò Zagli
We study the response to perturbations in the thermodynamic limit of a network of coupled identical agents undergoing a stochastic evolution which, in general, describes non-equili…
Dynamics of the Desai-Zwanzig model in multi-well and random energy landscapes
Susana N. Gomes, Serafim Kalliadasis, Grigorios A. Pavliotis +1
We analyze a variant of the Desai-Zwanzig model [J. Stat. Phys. {\bf 19}1-24 (1978)]. In particular, we study stationary states of the mean field limit for a system of weakly inter…
Mean Field Limits for Interacting Diffusions in a Two-Scale Potential
S. N. Gomes, G. A. Pavliotis
In this paper we study the combined mean field and homogenization limits for a system of weakly interacting diffusions moving in a two-scale, locally periodic confining potential,…
Noise-induced transitions in rugged energy landscapes
A. B. Duncan, S. Kalliadasis, G. A. Pavliotis +1
We consider the problem of an overdamped Brownian particle moving in multiscale potential with N + 1 characteristic length scales: the macroscale and N separated microscales. We sh…
Controlling roughening processes in the stochastic Kuramoto-Sivashinsky equation
Susana N. Gomes, Serafim Kalliadasis, Demetrios T. Papageorgiou +2
We present a novel control methodology to control the roughening processes of semilinear parabolic stochastic partial differential equations in one dimension, which we exemplify wi…
Mapping multiplicative to additive noise
Katy J. Rubin, Gunnar Pruessner, Grigorios A. Pavliotis
The Langevin formulation of a number of well-known stochastic processes involves multiplicative noise. In this work we present a systematic mapping of a process with multiplicative…
Generalized dynamical density functional theory for classical fluids and the significance of inertia and hydrodynamic interactions
Benjamin D. Goddard, Andreas Nold, Nikos Savva +2
We study the dynamics of a colloidal fluid including inertia and hydrodynamic interactions, two effects which strongly influence the non-equilibrium properties of the system. We de…
Additive noise effects in active nonlinear spatially extended systems
M. Pradas, G. A. Pavliotis, S. Kalliadasis +2
We examine the effects of pure additive noise on spatially extended systems with quadratic nonlinearities. We develop a general multiscale theory for such systems and apply it to t…
Noise induced state transitions, intermittency and universality in the noisy Kuramoto-Sivashinsky equation
M. Pradas, D. Tseluiko, S. Kalliadasis +2
We analyze the effect of pure additive noise on the long-time dynamics of the noisy Kuramoto-Sivashinsky (KS) equation in a regime close to the instability onset. We show that when…
Diffusive Transport in Periodic Potentials: Underdamped Dynamics
G. A. Pavliotis, A. Vogiannou
In this paper we present a systematic and rigorous method for calculating the diffusion tensor for a Brownian particle moving in a periodic potential which is valid in arbitrary di…
Periodic Homogenization for Inertial Particles
G. A. Pavliotis, A. M. Stuart
We study the problem of homogenization for inertial particles moving in a periodic velocity field, and subject to molecular diffusion. We show that, under appropriate assumptions o…
A Multiscale Approach to Brownian Motors
G. A. Pavliotis
The problem of Brownian motion in a periodic potential, under the influence of external forcing, which is either random or periodic in time, is studied in this paper. Multiscale te…