710 citations · 3.3k across the 60 of their papers we have counts for
25 papers · 1 filter
Unified description of random motions and generalized Fokker-Planck equations
Luca Angelani
This review surveys diverse types of random motion within a unified framework, introducing essential mathematical tools, including special functions and fractional calculus, in a p…
Internal stress drives ferromagnetic-like ordering in networks of proliferating bacteria
Nicola Pellicciotta, Luca Angelani, Roberto Di Leonardo
Proliferation is a defining feature of life. Through growth, division, and death, living systems consume energy and inject mass, breaking conservation laws and driving collective p…
Local entropy production rate of run-and-tumble particles
Matteo Paoluzzi, Andrea Puglisi, Luca Angelani
We study the local entropy production rate and the local entropy flow in active systems composed of non-interacting run-and-tumble particles in a thermal bath. After providing gene…
Generalized time-fractional kinetic-type equations with multiple parameters
Luca Angelani, Alessandro De Gregorio, Roberto Garra
In this paper we study a new generalization of the kinetic equation emerging in run-and-tumble models. We show that this generalization leads to a wide class of generalized fractio…
Entropy production of run-and-tumble particles
Matteo Paoluzzi, Andrea Puglisi, Luca Angelani
We analyze the entropy production in run-and-tumble models. After presenting the general formalism in the framework of the Fokker-Planck equations in one space dimension, we derive…
Anomalous random flights and time-fractional run-and-tumble equations
Luca Angelani, Alessandro De Gregorio, Roberto Garra +1
Random flights (also called run-and-tumble walks or transport processes) represent finite velocity random motions changing direction at any Poissonian time. These models in d-dimen…
Run-and-tumble motion in trapping environments
Luca Angelani
Complex or hostile environments can sometimes inhibit the movement capabilities of diffusive particles or active swimmers, who may thus become stuck in fixed positions. This occurs…
On G-fractional diffusion models in bounded domains
L. Angelani, R. Garra
In the recent literature, the g-subdiffusion equation involving Caputo fractional derivatives with respect to another function has been studied in relation to anomalous diffusions…
Orthogonal run-and-tumble walks
Luca Angelani
Planar run-and-tumble walks with orthogonal directions of motion are considered. After formulating the problem with generic transition probabilities among the orientational states,…
Confined run-and-tumble swimmers in one dimension
Luca Angelani
The persistent character of the motion of active particles gives rise to accumulation at boundaries. I investigate the problem of run-and-tumble swimmers confined in a 1D box with…
Narrow-escape time and sorting of active particles in circular domains
Matteo Paoluzzi, Luca Angelani, Andrea Puglisi
It is now well established that microswimmers can be sorted or segregated fabricating suitable microfluidic devices or using external fields. A natural question is how these techni…
Shape and Displacement Fluctuations in Soft Vesicles Filled by Active Particles
Matteo Paoluzzi, Roberto Di Leonardo, M Cristina Marchetti +1
We investigate numerically the dynamics of shape and displacement fluctuations of two-dimensional flexible vesicles filled with active particles. At low concentration most of the a…
Run-and-tumble particles, telegrapher's equation and absorption problems with partially reflecting boundaries
Luca Angelani
Absorption problems of run-and-tumble particles, described by the telegrapher's equation, are analyzed in one space dimension considering partially reflecting boundaries. Exact exp…
First-passage time of run-and-tumble particles
L. Angelani, R. Di Leonardo, M. Paoluzzi
We solve the problem of first-passage time for run-and-tumble particles in one dimension. Exact expression is derived for the mean first-passage time in the general case, consideri…
Generalized model of blockage in particulate flow limited by channel carrying capacity
C. Barré, J. Talbot, P. Viot L. Angelani +1
We investigate stochastic models of particles entering a channel with a random time distribution. When the number of particles present in the channel exceeds a critical value ,…
Run-and-tumble particles in speckle fields
M. Paoluzzi, R. Di Leonardo, L. Angelani
The random energy landscapes developed by speckle fields can be used to confine and manipulate a large number of micro-particles with a single laser beam. By means of molecular dyn…
Effective run-and-tumble dynamics of bacteria baths
M. Paoluzzi, R. Di Leonardo, L. Angelani
{\it E. coli} bacteria swim in straight runs interrupted by sudden reorientation events called tumbles. The resulting random walks give rise to density fluctuations that can be der…
A bacterial ratchet motor
R. Di Leonardo, L. Angelani, G. Ruocco +6
Self-propelling bacteria are a dream of nano-technology. These unicellular organisms are not just capable of living and reproducing, but they can swim very efficiently, sense the e…
Phase transitions and topology in 2+k XY mean-field models
L. Angelani, G. Ruocco
The thermodynamics and topology of mean-field models with 2+k body interaction terms (generalizing XY model) are derived. Focusing on two particular cases (2+4 and 2+6 body interac…
Mode-locking transitions in nano-structured weakly disordered lasers
L. Angelani, C. Conti, L. Prignano +2
We report on a statistical approach to mode-locking transitions of nano-structured laser cavities characterized by an enhanced density of states. We show that the equations for the…
On the relationship between phase transitions and topological changes in one dimensional models
L. Angelani, G. Ruocco, F. Zamponi
We address the question of the quantitative relationship between thermodynamic phase transitions and topological changes in the potential energy manifold analyzing two classes of o…
Topology and phase transitions: from an exactly solvable model to a relation between topology and thermodynamics
Luca Angelani, Lapo Casetti, Marco Pettini +2
The elsewhere surmised topological origin of phase transitions is given here new important evidence through the analytic study of an exactly solvable model for which both topology…
Topological properties of the mean field phi^4 model
A. Andronico, L. Angelani, G. Ruocco +1
We study the thermodynamics and the properties of the stationary points (saddles and minima) of the potential energy for a phi^4 mean field model. We compare the critical energy Vc…
Dynamics and geometric properties of the k-Trigonometric model
F. Zamponi, L. Angelani, L. F. Cugliandolo +2
We analyze the dynamics and the geometric properties of the Potential Energy Surfaces (PES) of the k-Trigonometric Model (kTM), defined by a fully-connected k-body interaction. Thi…