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We study the entropy production rate (EPR) of aligning self-propelled particles which undergo a flocking transition towards a polarized collective motion. In our thermodynamically consistent lattice model, individual self-propulsion is the…

统计力学 · 物理学 2025-11-18 Tal Agranov , Robert L. Jack , Michael E. Cates , Étienne Fodor

Active systems comprise a class of nonequilibrium dynamics in which individual components autonomously dissipate energy. Efforts towards understanding the role played by activity have centered on computation of the entropy production rate…

统计力学 · 物理学 2024-11-22 Nicholas M. Boffi , Eric Vanden-Eijnden

We investigate the steady-state entropy production rate (EPR) in the Hydrodynamic Vicsek Model (HVM) and Diffusive Flocking Model (DFM). Both models display a transition from an isotropic gas to a polar liquid (flocking) phase, in addition…

统计力学 · 物理学 2020-12-21 Øyvind L. Borthne , Étienne Fodor , Michael E. Cates

Fluctuations in parameters that are typically treated as fixed play a crucial role in the behavior of complex systems. However, to date, we lack a general non-equilibrium thermodynamic treatment of such a complex system. In this Letter, to…

统计力学 · 物理学 2026-03-31 Tuan Pham , Deepak Gupta

Non-reciprocal interactions are present in many systems out of equilibrium. The rate of entropy production is a measure that quantifies the time irreversibility of a system, and thus how far it is from equilibrium. In this work, we…

统计力学 · 物理学 2022-11-28 Ziluo Zhang , Rosalba Garcia-Millan

Quantifying the irreversibility and dissipation of non-equilibrium processes is crucial to understanding their behavior, assessing their possible capabilities, and characterizing their efficiency. We introduce a physical quantity that…

统计力学 · 物理学 2025-11-13 Alvaro Lanza , Inés Martínez-Martín , Rafael Tapia-Rojo , Stefano Bo

We study the entropy production in a macroscopic nonequilibrium system that undergoes an order-disorder phase transition. Entropy production is a characteristic feature of nonequilibrium dynamics with broken detailed balance. It is found…

统计力学 · 物理学 2016-01-20 Pyoung-Seop Shim , Hyun-Myung Chun , Jae Dong Noh

The correlated motion of flocks is an instance of global order emerging from local interactions. An essential difference with analogous ferromagnetic systems is that flocks are active: animals move relative to each other, dynamically…

Fluctuations of observables as functions of time, or "fluctuation patterns", are studied in a chaotic microscopically reversible system that has irreversibly reached a nonequilibrium stationary state. Supposing that during a certain, long…

chao-dyn · 物理学 2008-10-08 G. Gallavotti

When birds come together to form a flock, the distribution of their individual velocities narrows around the mean velocity of the flock. We argue that, in a broad class of models for the joint distribution of positions and velocities, this…

统计力学 · 物理学 2016-06-01 Michele Castellana , William Bialek , Andrea Cavagna , Irene Giardina

We develop a systematic framework to quantify irreversibility in scalar Model A field theories with a generic non-Hermitian term driving the dynamics. Using the stochastic path-integral formalism, we perform a controlled small-noise…

统计力学 · 物理学 2026-03-13 Matthias Carosi , Ot Garcés , Adrià Garcés , Demian Levis

We show that even weak nonreciprocal alignment leads to large-scale structure formation in flocking mixtures. By combining numerical simulations of a binary Vicsek model and the analysis of coarse-grained continuum equations, we demonstrate…

统计力学 · 物理学 2026-02-16 Charlotte Myin , Benoît Mahault

Entropy production distinguishes equilibrium from non-equilibrium. Calculating the entropy production rate (EPR) is challenging in systems where some degrees of freedom cannot be observed. Here we introduce a perturbative framework to…

统计力学 · 物理学 2025-07-31 Jacob Knight , Farid Kaveh , Gunnar Pruessner

Nonreciprocal interactions are commonplace in continuum-level descriptions of both biological and synthetic active matter, yet studies addressing their implications for time-reversibility have so far been limited to microscopic models.…

统计力学 · 物理学 2023-04-19 Henry Alston , Luca Cocconi , Thibault Bertrand

As the constituent particles of a flock are polar and in a driven state, their interactions must, in general, be fore-aft asymmetric and non-reciprocal. Within a model that explicitly retains the classical spin angular momentum field of the…

Interactions among neighboring birds in a flock cause an alignment of their flight directions. We show that the minimally structured (maximum entropy) model consistent with these local correlations correctly predicts the propagation of…

Many models of flocking involve alignment rules based on the mean orientation of neighboring particles, which we show introduces microscopic non-reciprocal interactions. In the absence of this microscopic non-reciprocity an exceptional…

软凝聚态物质 · 物理学 2023-09-19 Charles Packard , Daniel M. Sussman

The entropy production rate (EPR) offers a quantitative measure of time reversal symmetry breaking in non-equilibrium systems. It can be defined either at particle level or at the level of coarse-grained fields such as density; the EPR for…

统计力学 · 物理学 2021-02-03 Yuting I. Li , Michael E. Cates

The entropy production is commonly interpreted as measuring the distance from equilibrium. However, this explanation lacks a rigorous description due to the absence of a natural equilibrium measure. The present analysis formalizes this…

统计力学 · 物理学 2025-10-23 David Andrieux

The training algorithms for AI systems all introduce far-from-equilibrium dynamical processes, and understanding the irreversibility of these algorithms is a fundamental step towards understanding the learning dynamics of modern AI systems.…

统计力学 · 物理学 2026-05-22 Liu Ziyin , Yuanjie Ren , Adam Levine , Isaac Chuang
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