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cond-mat.stat-mech2025★ 3 cited

Finite-time blowup of a Brownian particle in a repulsive potential

P. L. Krapivsky, Baruch Meerson

We consider a Brownian particle performing an overdamped motion in a power-law repulsive potential. If the potential grows with the distance faster than quadratically, the particle…

cond-mat.stat-mech2024★ 1 cited

Random sequential covering of a one-dimensional lattice by -mers

Pascal Viot, P. L. Krapivsky

In random sequential covering, identical objects are deposited randomly, irreversibly, and sequentially; only attempts that increase coverage are accepted. The process continues in…

cond-mat.stat-mech2024★ 5 cited

Random matrix universality in dynamical correlation functions at late times

Oscar Bouverot-Dupuis, Silvia Pappalardi, Jorge Kurchan +2

We study the behavior of two-time correlation functions at late times for finite system sizes considering observables whose (one-point) average value does not depend on energy. In…

cond-mat.stat-mech2024★ 2 cited

Catalytic Coagulation

P. L. Krapivsky, S. Redner

We introduce an autocatalytic aggregation model in which the rate at which two clusters merge to form a cluster is controlled by the presence of a third "catalytic" cluster whose m…

cond-mat.stat-mech2024★ 8 cited

Sharp detection of the onset of Floquet heating using eigenstate sensitivity

Sourav Bhattacharjee, Souvik Bandyopadhyay, Anatoli Polkovnikov

Chaotic Floquet systems at sufficiently low driving frequencies are known to heat up to an infinite temperature ensemble in the thermodynamic limit. However at high driving frequen…

cond-mat.stat-mech2024★ 5 cited

Defining classical and quantum chaos through adiabatic transformations

Hyeongjin Kim, Cedric Lim, Kirill Matirko +2

We propose a formalism which defines chaos in both quantum and classical systems in an equivalent manner by means of \textit{adiabatic transformations}. The complexity of adiabatic…

cond-mat.stat-mech2023★ 1 cited

Circuit complexity and functionality: a thermodynamic perspective

Claudio Chamon, Andrei E. Ruckenstein, Eduardo R. Mucciolo +1

Circuit complexity, defined as the minimum circuit size required for implementing a particular Boolean computation, is a foundational concept in computer science. Determining circu…

cond-mat.stat-mech2023★ 5 cited

Supercluster states and phase transitions in aggregation-fragmentation processes

Wendy Otieno, Nikolai V. Brilliantov, P. L. Krapivsky

We study the evolution of aggregates triggered by collisions with monomers that either lead to the attachment of monomers or the break-up of aggregates into constituting monomers.…

cond-mat.stat-mech2023★ 13 cited

Integrability as an attractor of adiabatic flows

Hyeongjin Kim, Anatoli Polkovnikov

The interplay between quantum chaos and integrability has been extensively studied in the past decades. We approach this topic from the point of view of geometry encoded in the qua…

cond-mat.stat-mech2023★ 7 cited

Finite Size Effects in Addition and Chipping Processes

Roman R. Dyachenko, Sergey A. Matveev, P. L. Krapivsky

We investigate analytically and numerically a system of clusters evolving via collisions with clusters of minimal mass (monomers). Each collision either leads to the addition of th…

cond-mat.stat-mech2023★ 23 cited

Steady oscillations in aggregation-fragmentation processes

N. V. Brilliantov, W. Otieno, S. A. Matveev +3

We report surprising steady oscillations in aggregation-fragmentation processes. Oscillating solutions are observed for the class of aggregation kernels …

cond-mat.stat-mech2023★ 13 cited

Prethermal stability of eigenstates under high frequency Floquet driving

Nicholas O'Dea, Fiona Burnell, Anushya Chandran +1

Systems subject to high-frequency driving exhibit Floquet prethermalization, that is, they heat exponentially slowly on a time scale that is large in the drive frequency, $τ_{\rm h…

cond-mat.stat-mech2023★ 1 cited

Dynamic Space Packing

Rahul Dandekar, P. L. Krapivsky

Dynamic space packing (DSP) is a random process with sequential addition and removal of identical objects into space. In the lattice version, objects are particles occupying single…

cond-mat.stat-mech2023★ 8 cited

A renewal approach to configurational entropy in one dimension

P. L. Krapivsky, J. M. Luck

We introduce a novel approach, inspired from the theory of renewal processes, to determine the configurational entropy of ensembles of constrained configurations of particles on th…

cond-mat.stat-mech2023★ 6 cited

Range-controlled random walks

L. Régnier, O. Bénichou, P. L. Krapivsky

We introduce range-controlled random walks with hopping rates depending on the range , that is, the total number of previously distinct visited sites. We analyze a one…

cond-mat.stat-mech2022★ 23 cited

Dynamical fluctuations in the Riesz gas

Rahul Dandekar, P. L. Krapivsky, Kirone Mallick

We consider an infinite system of particles on a line performing identical Brownian motions and interacting through the Riesz potential, causing the over-damped motion…

cond-mat.stat-mech2022★ 9 cited

Jamming and metastability in one dimension: from the kinetically constrained Ising chain to the Riviera model

P. L. Krapivsky, J. M. Luck

The Ising chain with kinetic constraints provides many examples of totally irreversible zero-temperature dynamics leading to metastability with an exponentially large number of att…

cond-mat.stat-mech2022★ 9 cited

Blast waves in the zero temperature hard sphere gas: double scaling structure

Sahil Kumar Singh, Subhadip Chakraborti, Abhishek Dhar +1

We study the blast generated by sudden localized release of energy in a cold gas. Specifically, we consider one-dimensional hard-rod gas and two-dimensional hard disc gas. For this…

cond-mat.stat-mech2022★ 16 cited

Formation of Dissipative Structures in Microscopic Models of Mixtures with Species Interconversion

Thomas J. Longo, Nikolay A. Shumovskyi, Betül Uralcan +3

The separation of substances into different phases is ubiquitous in nature and important scientifically and technologically. This phenomenon may become drastically different if the…

cond-mat.stat-mech2022★ 6 cited

Semiclassical bounds on dynamics of two-dimensional interacting disordered fermions

Łukasz Iwanek, Marcin Mierzejewski, Anatoli Polkovnikov +2

Using the truncated Wigner approximation (TWA) we study quench dynamics of two-dimensional lattice systems consisting of interacting spinless fermions with potential disorder. Firs…

cond-mat.stat-mech2022★ 1 cited

Statistical properties of sites visited by independent random walks

E. Ben-Naim, P. L. Krapivsky

The set of visited sites and the number of visited sites are two basic properties of the random walk trajectory. We consider two independent random walks on a hyper-cubic lattice a…

cond-mat.stat-mech2022★ 12 cited

Flocking in One Dimension: Asters and Reversals

Brieuc Benvegnen, Hugues Chaté, Pavel Krapivsky +2

We study the one-dimensional active Ising model in which aligning particles undergo diffusion biased by the signs of their spins. The phase diagram obtained varying the density of…

cond-mat.stat-mech2022★ 4 cited

Competition in a system of Brownian particles: Encouraging achievers

P. L. Krapivsky, Ohad Vilk, Baruch Meerson

We introduce and study analytically and numerically a simple model of inter-agent competition, where underachievement is strongly discouraged. We consider particles perfor…

cond-mat.stat-mech2022★ 3 cited

Birds on a Wire

P. L. Krapivsky, S. Redner

We investigate the occupancy statistics of birds on a wire and on higher-dimensional substrates. In one dimension, birds land one by one on a wire and rest where they land. Wheneve…