D.G. Martin
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View article: Transition to Collective Motion in Nonreciprocal Active Matter: Coarse Graining Agent-Based Models into Fluctuating Hydrodynamics
Transition to Collective Motion in Nonreciprocal Active Matter: Coarse Graining Agent-Based Models into Fluctuating Hydrodynamics Open
Two hallmarks of nonequilibrium systems, from active colloids to animal herds, are agent motility and nonreciprocal interactions. Their interplay creates feedback loops that lead to complex spatiotemporal dynamics crucial to understand and…
View article: When is nonreciprocity relevant?
When is nonreciprocity relevant? Open
Nonreciprocal interactions are widely observed in nonequilibrium systems, from biological or sociological dynamics to open quantum systems. Despite the ubiquity of nonreciprocity, its impact on phase transitions is not fully understood. In…
View article: Sociohydrodynamics: Data-driven modeling of social behavior
Sociohydrodynamics: Data-driven modeling of social behavior Open
Living systems display complex behaviors driven by physical forces as well as decision-making. Hydrodynamic theories hold promise for simplified universal descriptions of socially generated collective behaviors. However, the construction o…
View article: Dynamical phase transitions in the nonreciprocal Ising model
Dynamical phase transitions in the nonreciprocal Ising model Open
Nonreciprocal interactions in many-body systems lead to time-dependent states, commonly observed in biological, chemical, and ecological systems. The stability of these states in the thermodynamic limit and the critical behavior of the pha…
View article: Fluctuation-induced first order transition to collective motion
Fluctuation-induced first order transition to collective motion Open
The nature of the transition to collective motion in assemblies of aligning self-propelled particles remains a long-standing matter of debate. In this article, we focus on dry active matter and show that weak fluctuations suffice to generi…
View article: Nonreciprocal Ising model
Nonreciprocal Ising model Open
Systems with nonreciprocal interactions generically display time-dependent states. These are routinely observed in finite systems, from neuroscience to active matter, in which globally ordered oscillations exist. However, the stability of …
View article: Measurement-induced phase transition in a single-body tight-binding model
Measurement-induced phase transition in a single-body tight-binding model Open
We study the statistical properties of a single free quantum particle evolving coherently on a discrete lattice in ${\rm d}$ spatial dimensions where every lattice site is additionally subject to continuous measurement of the occupation nu…
View article: The transition to collective motion in nonreciprocal active matter: coarse graining agent-based models into fluctuating hydrodynamics
The transition to collective motion in nonreciprocal active matter: coarse graining agent-based models into fluctuating hydrodynamics Open
Two hallmarks of non-equilibrium systems, from active colloids to animal herds, are agents motility and nonreciprocal interactions. Their interplay creates feedback loops leading to complex spatiotemporal dynamics crucial to understand and…
View article: Kardar-Parisi-Zhang Physics and Phase Transition in a Classical Single Random Walker under Continuous Measurement
Kardar-Parisi-Zhang Physics and Phase Transition in a Classical Single Random Walker under Continuous Measurement Open
We introduce and study a new model consisting of a single classical random walker undergoing continuous monitoring at rate γ on a discrete lattice. Although such a continuous measurement cannot affect physical observables, it has a nontriv…
View article: KPZ physics and phase transition in a classical single random walker under continuous measurement
KPZ physics and phase transition in a classical single random walker under continuous measurement Open
We introduce and study a new model consisting of a single classical random walker undergoing continuous monitoring at rate $γ$ on a discrete lattice. Although such a continuous measurement cannot affect physical observables, it has a non-t…
View article: Nonequilibrium signatures and phase transitions in active matter and beyond
Nonequilibrium signatures and phase transitions in active matter and beyond Open
Active Matter deals with the study of colloidal systems for which Brownian motion is replaced by a persistent self-propulsion. The main motivation of Active Matter is to provide a theoretical framework describing ensembles of interacting l…
View article: Fluctuation-Induced Phase Separation in Metric and Topological Models of Collective Motion
Fluctuation-Induced Phase Separation in Metric and Topological Models of Collective Motion Open
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View article: AOUP in the presence of Brownian noise: a perturbative approach
AOUP in the presence of Brownian noise: a perturbative approach Open
By working in the small persistence time limit, we determine the steady-state distribution of an active Ornstein Uhlenbeck particle (AOUP) experiencing, in addition to self-propulsion, a Gaussian white noise modeling a bath at temperature …
View article: Statistical mechanics of active Ornstein-Uhlenbeck particles
Statistical mechanics of active Ornstein-Uhlenbeck particles Open
We study the statistical properties of active Ornstein-Uhlenbeck particles (AOUPs). In this simplest of models, the Gaussian white noise of overdamped Brownian colloids is replaced by a Gaussian colored noise. This suffices to grant this s…
View article: The balance of growth and risk in population dynamics
The balance of growth and risk in population dynamics Open
Essential to each other, growth and exploration are jointly observed in populations, be it alive such as animals and cells or inanimate such as goods and money. But their ability to move, crucial to cope with uncertainty and optimize retur…