Lee, Chern Ye, Hai Li, Hui
Published in
Journal of Statistical Mechanics: Theory and Experiment

Stochastic differential equations (SDEs) play an important role in fields ranging from physics and biology to economics. The interpretation of stochastic calculus in the presence of multiplicative noise continues to be an open question. Commonly, the choice of stochastic calculus rules is largely based on empirical knowledge and lacks quantitative ...

Kaneko, Kunihiko
Published in
Journal of Statistical Mechanics: Theory and Experiment

The possibility of establishing a macroscopic phenomenological theory for biological systems, akin to the well-established framework of thermodynamics, is briefly reviewed. We introduce the concept of an evolutionary fluctuation–response relationship, which highlights the tight correlation between the variance in phenotypic traits caused by genetic...

Moueddene, Leïla G Fytas, Nikolaos Holovatch, Yurij Kenna, Ralph Berche, Bertrand
Published in
Journal of Statistical Mechanics: Theory and Experiment

We show that accurate insights into the critical properties of the Blume–Capel model at two dimensions can be deduced from Monte Carlo simulations, even for small system sizes, when one analyses the behaviour of the zeros of the partition function. The phase diagram of the model displays a line of second-order phase transitions ending at a tricriti...

Saha, Saptarshi Bhattacharyya, Rangeet
Published in
Journal of Statistical Mechanics: Theory and Experiment

A nearly-integrable isolated quantum many-body system reaches a quasi-stationary prethermal state before a late thermalization. Here, we revisit a particular example in the settings of an open quantum system (OQS). We consider a collection of non-interacting atoms coupled to a spatially correlated bosonic bath characterized by a bath correlation le...

Xie, Yiran Wang, Tingyu Yang, Bo
Published in
Journal of Statistical Mechanics: Theory and Experiment

Various traffic networks play an important role in daily life and have different topological characteristics such as small-world and scale-free. The factors of traffic congestion, natural disasters and traffic accidents may induce cascading failure in which the load redistribution usually has the characteristic of power-law (that is to say, when a ...

McBride, John M Tlusty, Tsvi
Published in
Journal of Statistical Mechanics: Theory and Experiment

Proteins are intricate molecular machines whose complexity arises from the heterogeneity of the amino acid building blocks and their dynamic network of many-body interactions. These nanomachines gain function when put in the context of a whole organism through interaction with other inhabitants of the biological realm. And this functionality shapes...

Ferro, Florent Ares, Filiberto Calabrese, Pasquale
Published in
Journal of Statistical Mechanics: Theory and Experiment

Entanglement asymmetry is a novel quantity that, using entanglement methods, measures how much a symmetry is broken in a part of an extended quantum system. So far, it has only been used to characterise the breaking of continuous Abelian symmetries. In this paper, we extend the concept to cyclic ZN groups. As an application, we consider the XY spin...

Böttcher, Lucas Wheeler, Gregory
Published in
Journal of Statistical Mechanics: Theory and Experiment

Analyzing the geometric properties of high-dimensional loss functions, such as local curvature and the existence of other optima around a certain point in loss space, can help provide a better understanding of the interplay between neural-network structure, implementation attributes, and learning performance. In this paper, we combine concepts from...

Kobayashi, Wataru
Published in
Journal of Statistical Mechanics: Theory and Experiment

Heat flux (J) generally increases with temperature difference in a material. A differential coefficient of J against temperature (T) is called differential thermal conductance (k), and an inverse of k is differential thermal resistance (r). Although k and r are generally positive, they can be negative in a macroscopic heterojunction with positive T...

Deng, Youjin Garoni, Timothy M Grimm, Jens Zhou, Zongzheng
Published in
Journal of Statistical Mechanics: Theory and Experiment

We study the two-point functions of a general class of random-length random walks (RLRWs) on finite boxes in Zd with d⩾3 , and provide precise asymptotics for their behaviour. We show that in a finite box of side length L, the two-point function is asymptotic to the infinite-lattice two-point function when the typical walk length is o(L2) , but dev...