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cond-mat.stat-mech2026

Boltzmann-Loschmidt dispute reloaded quantum 150 years later

Leonardo Ermann, Alexei D. Chepelianskii, Dima L. Shepelyansky

The Boltzmann-Loschmidt dispute of 1876 questioned the possibility of a statistical irreversible description by time reversible classical equations of motion of atoms. Here we show…

cond-mat.stat-mech2025

Three faces of random walks in a hyperbolic domain: BKT, Lifshitz tails, and KPZ

Daniil Fedotov, Sergei Nechaev

We show that continuous random walks (diffusion) in the Poincaré upper half-plane provide a unified description of three seemingly unrelated phenome…

cond-mat.stat-mech2025

Probing phase transitions of finite directed polymers near a corrugated wall via two-replica analysis

Ruijie Xu, Sergei Nechaev

We study the pinning transition in a (1+1)-dimensional lattice model of a fluctuating interface interacting with a corrugated impenetrable wall. The interface is modeled as an -…

cond-mat.stat-mech2025★ 5 cited

Dynamically emergent correlations in a Brownian gas with diffusing diffusivity

Nikhil Mesquita, Satya N. Majumdar, Sanjib Sabhapandit

We study a gas of Brownian particles in the presence of a common stochastic diffusivity , where represents a one-dimensional Brownian motion at time . St…

cond-mat.stat-mech2025★ 2 cited

Dynamical thermalization, Rayleigh-Jeans condensate, vortexes and wave collapse in quantum chaos fibers and fluid of light

Leonardo Ermann, Alexei D. Chepelianskii, Dima L. Shepelyansky

We study analytically and numerically the time evolution of a nonlinear field described by the nonlinear Schrödinger equation in a chaotic -shape billiard. In absence of nonline…

cond-mat.stat-mech2025

Extreme value statistics in a continuous time branching process: a pedagogical primer

Satya N. Majumdar, Alberto Rosso

We study a continuous time branching process where an individual splits into two daughters with rate b and dies with rate a, starting from a single individual at t=0. We show that…

cond-mat.stat-mech2025★ 5 cited

The cost of resetting discrete-time random walks

John C. Sunil, Richard A. Blythe, Martin R. Evans +1

We consider a discrete-time continuous-space random walk, with a symmetric jump distribution, under stochastic resetting. Associated with the random walker are cost functions for j…

cond-mat.stat-mech2025★ 3 cited

Exact height distribution in one-dimensional Edwards-Wilkinson interface with diffusing diffusivity

David S. Dean, Satya N. Majumdar, Sanjib Sabhapandit

We study the height distribution of a one-dimensional Edwards-Wilkinson interface in the presence of a stochastic diffusivity , where represents a one-dimension…

cond-mat.stat-mech2025★ 7 cited

Large Deviations in Switching Diffusion: from Free Cumulants to Dynamical Transitions

Mathis Guéneau, Satya N. Majumdar, Gregory Schehr

We study the diffusion of a particle with a time-dependent diffusion constant that switches between random values drawn from a distribution at a fixed rate . Using…

cond-mat.stat-mech2024★ 1 cited

Dynamical phase transitions in certain non-ergodic stochastic processes

Yogeesh Reddy Yerrababu, Satya N. Majumdar, Benjamin Guiselin +1

We present a class of stochastic processes in which the large deviation functions of time-integrated observables exhibit singularities that relate to dynamical phase transitions of…

cond-mat.stat-mech2024★ 3 cited

Exact joint distributions of three global characteristic times for Brownian motion

Alexander K. Hartmann, Satya N. Majumdar

We consider three global characteristic times for a one-dimensional Brownian motion in the interval : the occupation time denoting the cumulative tim…

cond-mat.stat-mech2024

Macroscopic Quantum States and Universal Correlations in a Disorder-Order Interface Propagating over a 1D Ground State

Vanja Marić, Florent Ferro, Maurizio Fagotti

We consider translationally invariant quantum spin- chains with local interactions and a discrete symmetry that is spontaneously broken at zero temperature. We envisio…

cond-mat.stat-mech2024

The number of minima in random landscapes generated by constrained random walk and Lévy flights: universal properties

Anupam Kundu, Satya N. Majumdar, Gregory Schehr

We provide a uniform framework to compute the exact distribution of the number of minima/maxima in three different random walk landscape models in one dimension. The landscape is g…

cond-mat.stat-mech2024★ 5 cited

Power-law relaxation of a confined diffusing particle subject to resetting with memory

Denis Boyer, Satya N. Majumdar

We study the relaxation of a Brownian particle with long range memory under confinement in one dimension. The particle diffuses in an arbitrary confining potential and resets at ra…

cond-mat.stat-mech2024★ 1 cited

Minimizing the Profligacy of Searches with Reset

John C. Sunil, Richard A. Blythe, Martin R. Evans +1

We introduce the profligacy of a search process as a competition between its expected cost and the probability of finding the target. The arbiter of the competition is a parameter…

cond-mat.stat-mech2024★ 4 cited

Full counting statistics of 1d short-range Riesz gases in confinement

Jitendra Kethepalli, Manas Kulkarni, Anupam Kundu +3

We investigate the full counting statistics (FCS) of a harmonically confined 1d short-range Riesz gas consisting of particles in equilibrium at finite temperature. The particle…

cond-mat.stat-mech2024

Work Distribution for Unzipping Processes

P. Werner, A. K. Hartmann, S. N. Majumdar

A simple zipper model is introduced, representing in a simplified way, e.g., the folded DNA double helix or hairpin structures in RNA. The double stranded hairpin is connected to a…

cond-mat.stat-mech2023★ 3 cited

Fate of Boltzmann's breathers: Stokes hypothesis and anomalous thermalization

M. I. García de Soria, P. Maynar, David Guéry-Odelin +1

Boltzmann showed that in spite of momentum and energy redistribution through collisions, a rarefied gas confined in a isotropic harmonic trapping potential does not reach equilibri…

cond-mat.stat-mech2023★ 20 cited

Dynamically emergent correlations between particles in a switching harmonic trap

Marco Biroli, Manas Kulkarni, Satya N. Majumdar +1

We study a one dimensional gas of noninteracting diffusing particles in a harmonic trap, whose stiffness switches between two values and with constant rates a…

cond-mat.stat-mech2023★ 1 cited

Active particle in one dimension subjected to resetting with memory

Denis Boyer, Satya N. Majumdar

The study of diffusion with preferential returns to places visited in the past has attracted an increased attention in recent years. In these highly non-Markov processes, a standar…

cond-mat.stat-mech2023★ 1 cited

Unconventional critical behavior of polymers at sticky boundaries

Alexander Gorsky, Sergei Nechaev, Alexander Valov

We discuss the generalization of a classical problem involving an -step ideal polymer adsorption at a sticky boundary (potential well of depth ). It is known that as appr…

cond-mat.stat-mech2023★ 15 cited

Optimal mean first-passage time of a run-and-tumble particle in a class of one-dimensional confining potentials

Mathis Guéneau, Satya N. Majumdar, Gregory Schehr

We consider a run-and-tumble particle (RTP) in one dimension, subjected to a telegraphic noise with a constant rate , and in the presence of an external confining potential $V(x…

cond-mat.stat-mech2023★ 5 cited

Nonlinear-Cost Random Walk: exact statistics of the distance covered for fixed budget

Satya N. Majumdar, Francesco Mori, Pierpaolo Vivo

We consider the Nonlinear-Cost Random Walk model in discrete time introduced in [Phys. Rev. Lett. 130, 237102 (2023)], where a fee is charged for each jump of the walker. The nonli…

cond-mat.stat-mech2023

BKT in Phyllotaxis

Ana Flack, Sergei Nechaev

We discuss a two-parameter renormalization group (RG) consideration of a phyllotaxis model in the framework of the ``energetic approach'' proposed by L. Levitov in 1991. Following…