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19942026
most citedInfinite-Order Percolation and Giant Fluctuations in a Protein Interaction Network

180 citations · 1.3k across the 62 of their papers we have counts for

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48 papers · 1 filter

cond-mat.stat-mech2026

Logarithmic singularity in a dynamical quantum phase transition for free fermions

Yasser Bezzaz, Dimitri M. Gangardt, Pavel L. Krapivsky +3

We study the Loschmidt echo in a system of N non-interacting spinless lattice fermions released from a double-domain-wall initial state. In the large-N limit, the return probabilit…

cond-mat.stat-mech2026

Expansion of a free Fermi gas released from an isotropic trapping potential

J M Luck, P L Krapivsky

We consider a system of non-interacting fermions prepared in the many-body ground state of an isotropic trapping potential in any dimension, and investigate the ballistic expansion…

cond-mat.stat-mech2026

The Riviera model with egoistical settlers

P. L. Krapivsky

The Riviera model mimics a densifying settlement along the coastline. In the lattice version, houses are built sequentially in empty sites with the constraint that every newly buil…

cond-mat.stat-mech2026

Aggregation-Fragmentation Processes with Broken Detailed Balance

P. L. Krapivsky

We study aggregation-fragmentation processes in which pairs of clusters can aggregate, and each cluster can break into two fragments. If the rates of aggregation and fragmentation…

cond-mat.stat-mech2025

Impurity dynamics in a zero-temperature gas

Umesh Kumar, Abhishek Dhar, P. L. Krapivsky

If energy is suddenly released in a localized region of space uniformly filled with identical stationary hard spheres, the outcome is a blast with an asymptotically spherical shock…

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…