180 citations · 343 across the 16 of their papers we have counts for
18 papers
Multifractality and statistical localization in the sparse Barrat-Mézard trap model
Diego Tapias, Peter Sollich
We study within a paradigmatic model for glassy dynamics, the Barrat-Mézard trap model, the effect of a nontrivial network structure in the connectivity among traps. Sparseness of…
Localization and top eigenvalue detection
Diego Tapias, Benedikt Grüger, Reimer Kühn +1
The detection of the top eigenvalue and its corresponding eigenvector in ensembles of random matrices has significant applications across various fields. An existing method, based…
Spectral properties, localization transition and multifractal eigenvectors of the Laplacian on heterogeneous networks
Jeferson D. da Silva, Diego Tapias, Peter Sollich +1
We study the spectral properties and eigenvector statistics of the Laplacian on highly-connected networks with random coupling strengths and a gamma distribution of rescaled degree…
Bringing together two paradigms of non-equilibrium: Fragile versus robust aging in driven glassy systems
Diego Tapias, Charles Marteau, Fabián Aguirre-López +1
There are two key paradigms for non-equilibrium dynamics: on the one hand, aging towards an equilibrium state that cannot be reached on reasonable timescales; on the other, externa…
Multifractality and statistical localization in highly heterogeneous random networks
Diego Tapias, Peter Sollich
We consider highly heterogeneous random networks with symmetric interactions in the limit of high connectivity. A key feature of this system is that the spectral density of the cor…
Subaging in underparametrized Deep Neural Networks
Carolina Herrera Segura, Edison Montoya, Diego Tapias
We consider a simple classification problem to show that the dynamics of finite-width Deep Neural Networks in the underparametrized regime gives rise to effects similar to those as…
Localization properties of the sparse Barrat-Mézard trap model
Diego Tapias, Peter Sollich
Inspired by works on the Anderson model on sparse graphs, we devise a method to analyze the localization properties of sparse systems that may be solved using cavity theory. We app…
Memory in Non-Monotonic Stress Response of an Athermal Disordered Solid
Rituparno Mandal, Diego Tapias, Peter Sollich
Athermal systems across a large range of length scales, ranging from foams and granular bead packings to crumpled metallic sheets, exhibit slow stress relaxation when compressed. E…
From entropic to energetic barriers in glassy dynamics: The Barrat-Mézard trap model on sparse networks
Diego Tapias, Eva Paprotzki, Peter Sollich
Trap models describe glassy dynamics as a stochastic process on a network of configurations representing local energy minima. We study within this class the paradigmatic Barrat-Méz…
Monte Carlo sampling in diffusive dynamical systems
Diego Tapias, David P. Sanders, Eduardo G. Altmann
We introduce a Monte Carlo algorithm to efficiently compute transport properties of chaotic dynamical systems. Our method exploits the importance sampling technique that favors tra…
Thermodynamic Cost for Classical Counterdiabatic Driving
Alessandro Bravetti, Diego Tapias
Motivated by the recent growing interest about the thermodynamic cost of Shortcuts to Adiabaticity (STA), we consider the cost of driving a classical system by the so-called Counte…
Ergodicity of one-dimensional systems coupled to the logistic thermostat
Diego Tapias, Alessandro Bravetti, David P. Sanders
We analyze the ergodicity of three one-dimensional Hamiltonian systems, with harmonic, quartic and Mexican-hat potentials, coupled to the logistic thermostat. As criteria for ergod…
Exact Baker-Campbell-Hausdorff formula for the contact Heisenberg algebra
Alessandro Bravetti, Angel Garcia-Chung, Diego Tapias
In this work we introduce the contact Heisenberg algebra which is the restriction of the Jacobi algebra on contact manifolds to the linear and constant functions. We give the exact…
Geometric integrator for simulations in the canonical ensemble
Diego Tapias, David P. Sanders, Alessandro Bravetti
In this work we introduce a geometric integrator for molecular dynamics simulations of physical systems in the canonical ensemble. In particular, we consider the equations arising…
Contact Hamiltonian Mechanics
Alessandro Bravetti, Hans Cruz, Diego Tapias
In this work we introduce contact Hamiltonian mechanics, an extension of symplectic Hamiltonian mechanics, and show that it is a natural candidate for a geometric description of no…
A thermostat algorithm generating target ensembles
A. Bravetti, D. Tapias
We present a deterministic algorithm called contact density dynamics that generates any prescribed target distribution in the physical phase space. Akin to the famous model of Nosé…
Liouville's Theorem and the canonical measure for nonconservative systems from contact geometry
Alessandro Bravetti, Diego Tapias
Standard statistical mechanics of conservative systems relies on the symplectic geometry of the phase space. This is exploited to derive Hamilton's equations, Liouville's theorem a…
Geometric description of chemical reactions
Hernando Quevedo, Diego Tapias
We use the formalism of Geometrothermodynamics to describe chemical reactions in the context of equilibrium thermodynamics. Any chemical reaction in a closed system is shown to be…