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Unlike macroscopic engines, the molecular machinery of living cells is strongly affected by fluctuations. Stochastic Thermodynamics uses Markovian jump processes to model the random transitions between the chemical and configurational…

统计力学 · 物理学 2015-10-19 Bernhard Altaner , Artur Wachtel , Jürgen Vollmer

We consider a neural network with adapting synapses whose dynamics can be analitically computed. The model is made of $N$ neurons and each of them is connected to $K$ input neurons chosen at random in the network. The synapses are…

无序系统与神经网络 · 物理学 2009-10-30 G. Lattanzi , G. Nardulli , G. Pasquariello , S. Stramaglia

Many driven systems alternate between bursts of activity and quiescence and can become trapped in an absorbing state, such as complete inactivity in reaction-diffusion processes or extinction in predator-prey dynamics. It is generally…

统计力学 · 物理学 2026-05-14 Kartik Chhajed , P. K. Mohanty

Many of the biological, social and man-made networks around us are inherently dynamic, with their links switching on and off over time. The evolution of these networks is often non-Markovian, and the dynamics of their links correlated.…

统计力学 · 物理学 2021-07-23 Oliver E. Williams , Piero Mazzarisi , Fabrizio Lillo , Vito Latora

Several guiding principles for thought processes are proposed and a neural-network-type model implementing these principles is presented and studied. We suggest to consider thinking within an associative network built-up of overlapping…

神经元与认知 · 定量生物学 2007-05-23 Claudius Gros

Single-molecule experiments provide insight into the motion (conformational dynamics) of individual protein molecules. Usually, a well-defined but coarse-grained intramolecular coordinate is measured and subsequently analysed with the help…

Starting at the mesoscopic level with a general formulation of stochastic thermodynamics in terms of Markov jump processes, we identify the scaling conditions that ensure the emergence of a (typically nonlinear) deterministic dynamics and…

统计力学 · 物理学 2025-05-26 Gianmaria Falasco , Massimiliano Esposito

This article deals with dynamical systems depending on a slowly varying parameter. We present several physical examples illustrating memory effects, such as metastability and hysteresis, which frequently appear in these systems. A…

chao-dyn · 物理学 2007-05-23 N. Berglund , H. Kunz

Non-Markovian dynamics arise when a system is coupled to a bath with finite correlation time, giving rise to memory effects that allow the bath to temporarily store and return excitations. However, how memory modifies irreversibility and…

统计力学 · 物理学 2026-04-29 Ken Funo , Tan Van Vu , Keiji Saito

Conventional studies of biomolecular behaviors rely largely on the construction of kinetic schemes. Since the selection of these networks is not unique, a concern is raised whether and under which conditions hierarchical schemes can reveal…

分子网络 · 定量生物学 2015-07-07 De-Ming Deng , Cheng-Hung Chang

Recent works have highlighted the need for a new dynamical paradigm in the modeling of brain function and evolution. Specifically, these models should incorporate non-constant and asymmetric synaptic weights $T_{ij}$ in the neuron-neuron…

神经元与认知 · 定量生物学 2025-11-03 Franco Cardin , Alberto Lovison , Amos Maritan , Aram Megighian

Temporal networks are widely used models for describing the architecture of complex systems. Network memory -- that is the dependence of a temporal network's structure on its past -- has been shown to play a prominent role in diffusion,…

物理与社会 · 物理学 2020-04-28 Oliver E. Williams , Lucas Lacasa , Ana P. Millán , Vito Latora

This PhD thesis deals with the Markov picture of developed turbulence from the theoretical point of view. The thesis consists of two parts. The first part introduces stochastic thermodynamics, the second part aims at transferring the…

统计力学 · 物理学 2015-10-22 Daniel Nickelsen

Stochastic thermodynamics is a framework for describing non-equilibrium processes at the level of fluctuating trajectories, where the state of a system evolves as a stochastic time series, allowing thermodynamic quantities such as work,…

Working memory is a cognitive function involving the storage and manipulation of latent information over brief intervals of time, thus making it crucial for context-dependent computation. Here, we use a top-down modeling approach to examine…

神经元与认知 · 定量生物学 2021-11-17 Elham Ghazizadeh , ShiNung Ching

How do networks of relationships evolve over time? We analyse a dataset tracking the social interactions of 900 individuals over four years. Despite continuous shifts in individual relationships, the macroscopic structural properties of the…

物理与社会 · 物理学 2025-06-04 Miguel A. González-Casado , Andreia Sofia Teixeira , Angel Sánchez

In view of the relation between information and thermodynamics we investigate how much information about an external protocol can be stored in the memory of a stochastic measurement device given an energy budget. We consider a layered…

定量方法 · 定量生物学 2015-07-28 Stefano Bo , Marco Del Giudice , Antonio Celani

A unique feature of neuromorphic computing is that memory is an implicit part of processing through traces of past information in the system's collective dynamics. The extent of memory about past inputs is commonly quantified by the…

Failure, damage spread and recovery crucially underlie many spatially embedded networked systems ranging from transportation structures to the human body. Here we study the interplay between spontaneous damage, induced failure and recovery…

物理与社会 · 物理学 2017-10-23 Lucas Böttcher , Mirko Lukovic , Jan Nagler , Shlomo Havlin , Hans J. Herrmann

A system responding to a stochastic driving signal can be interpreted as computing, by means of its dynamics, an implicit model of the environmental variables. The system's state retains information about past environmental fluctuations,…

统计力学 · 物理学 2012-10-09 Susanne Still , David A. Sivak , Anthony J. Bell , Gavin E. Crooks