96 citations · 922 across the 46 of their papers we have counts for
11 papers · 1 filter
Thermal Equilibrium in D-dimensions: From Fluids and Polymers to Kinetic Wealth Exchange Models
Marco Patriarca, Els Heinsalu, Amrita Singh +1
In this paper we discuss some examples of systems composed of units, which exchange a conserved quantity according to some given stochastic rule, from some standard kinetic…
Classical and quantum Brownian motion in an electromagnetic field
Marco Patriarca, Pasquale Sodano
The dynamics of a Brownian particle in a constant magnetic field and time-dependent electric field is studied in the limit of white noise, using a Langevin approach for the classic…
Diffusion in the presence of a local attracting factor: Theory and some interdisciplinary applications
Hardi Veermäe, Marco Patriarca
We study a simple model of a random walker in d dimensions moving in the presence of a local heterogeneous attracting factor expressed in terms of an assigned space-dependent "attr…
Fractional Fokker-Planck subdiffusion in alternating fields
E. Heinsalu, M. Patriarca, I. Goychuk +1
The fractional Fokker-Planck equation for subdiffusion in time-dependent force fields is derived from the underlying continuous time random walk. Its limitations are discussed and…
Stochastic resonance in bistable confining potentials. On the role of confinement
Els Heinsalu, Marco Patriarca, Fabio Marchesoni
We study the effects of the confining conditions on the occurrence of stochastic resonance (SR) in continuous bistable systems. We model such systems by means of double-well potent…
Dimer diffusion in a washboard potential
E. Heinsalu, M. Patriarca, F. Marchesoni
The transport of a dimer, consisting of two Brownian particles bounded by a harmonic potential, moving on a periodic substrate is investigated both numerically and analytically. Th…
Use and Abuse of a Fractional Fokker-Planck Dynamics for Time-Dependent Driving
E. Heinsalu, M. Patriarca, I. Goychuk +1
We investigate a subdiffusive, fractional Fokker-Planck dynamics occurring in time-varying potential landscapes and thereby disclose the failure of the fractional Fokker-Planck equ…
Variational principle for the Pareto power law
Anirban Chakraborti, Marco Patriarca
A mechanism is proposed for the appearance of power law distributions in various complex systems. It is shown that in a conservative mechanical system composed of subsystems with d…
Fractional diffusion in periodic potentials
E. Heinsalu, M. Patriarca, I. Goychuk +1
Fractional, anomalous diffusion in space-periodic potentials is investigated. The analytical solution for the effective, fractional diffusion coefficient in an arbitrary periodic p…
Current and universal scaling in anomalous transport
I. Goychuk, E. Heinsalu, M. Patriarca +2
Anomalous transport in tilted periodic potentials is investigated within the framework of the fractional Fokker-Planck dynamics and the underlying continuous time random walk. The…
Gibbs versus non-Gibbs distributions in money dynamics
Marco Patriarca, Anirban Chakraborti, Kimmo Kaski
We review a simple model of closed economy, where the economic agents make money transactions and a saving criterion is present. We observe the Gibbs distribution for zero saving p…