Prediction and retrodiction in statistical mechanics from the principle of maximum caliber

I Tapia, G Gutiérrez, S Davis - arXiv preprint arXiv:2303.09672, 2023 - arxiv.org
A statistical, path-dependent framework to describe time-dependent macroscopic theories
using the Principle of Maximum Caliber is presented. By means of this procedure, it is …

The foundations of statistical physics: entropy, irreversibility, and inference

JA Pachter, YJ Yang, KA Dill - arXiv preprint arXiv:2310.06070, 2023 - arxiv.org
Statistical physics aims to describe properties of macroscale systems in terms of distributions
of their microscale agents. Its central tool is the maximization of entropy, a variational …

Solving equations of motion by using Monte Carlo metropolis: Novel method via random paths sampling and the maximum caliber principle

D González Diaz, S Davis, S Curilef - Entropy, 2020 - mdpi.com
A permanent challenge in physics and other disciplines is to solve Euler–Lagrange
equations. Thereby, a beneficial investigation is to continue searching for new procedures to …

Visualizing quantum circuit probability: estimating quantum state complexity for quantum program synthesis

BG Bach, A Kundu, T Acharya, A Sarkar - Entropy, 2023 - mdpi.com
This work applies concepts from algorithmic probability to Boolean and quantum
combinatorial logic circuits. The relations among the statistical, algorithmic, computational …

Development and verification of a higher-order mathematical adjoint nodal diffusion solver

MR Altahhan, R van Geemert, M Avramova… - Annals of Nuclear …, 2021 - Elsevier
In this paper, we derive a mathematical formulation of the higher order adjoint NEM-M2B2
equations by preconditioning the nodal interface neutron currents equations of the forward …

Visualizing Quantum Circuit Probability--estimating computational action for quantum program synthesis

BG Bach, A Kundu, T Acharya, A Sarkar - arXiv preprint arXiv:2304.02358, 2023 - arxiv.org
This research applies concepts from algorithmic probability to Boolean and quantum
combinatorial logic circuits. A tutorial-style introduction to states and various notions of the …

Solving equations of motion by using Monte Carlo Metropolis: Novel method via Random Paths and Maximum Caliber Principle

D González, S Davis, S Curilef - arXiv preprint arXiv:2004.00624, 2020 - arxiv.org
A permanent challenge in physics and other disciplines is to solve partial differential
equations, thereby a beneficial investigation is to continue searching for new procedures to …