Pub Date : 2024-06-25DOI: 10.1088/1742-5468/ad526f
Stephen Whitelam
Landauer’s principle states that erasing a bit of information at fixed temperature T costs at least units of work. Here we investigate erasure at varying temperature, to which Landauer’s result does not apply. We formulate bit erasure as a stochastic nonequilibrium process involving a compression of configuration space, with physical and logical states associated in a symmetric way. Erasure starts and ends at temperature T, but temperature can otherwise vary with time in an arbitrary way. Defined in this way, erasure is governed by a set of nonequilibrium fluctuation relations that show that varying-temperature erasure can done with less work than . As a result, erasure and the complementary process of bit randomization can be combined to form a work-producing engine cycle.
兰道尔原理指出，在固定温度 T 下擦除一个信息比特至少需要花费单位功。在这里，我们研究的是不同温度下的擦除，兰道尔的结果并不适用于这种情况。我们将比特擦除表述为一个随机非平衡过程，涉及配置空间的压缩，物理状态和逻辑状态以对称方式相关联。擦除在温度 T 开始和结束，但温度也可以随时间任意变化。根据这种定义，擦除受一组非平衡态波动关系的支配，这些关系表明，不同温度下的擦除所需的功可以小于......。 因此，擦除和位随机化的互补过程可以结合起来，形成一个产生功的引擎循环。
{"title":"Nonequilibrium formulation of varying-temperature bit erasure","authors":"Stephen Whitelam","doi":"10.1088/1742-5468/ad526f","DOIUrl":"https://doi.org/10.1088/1742-5468/ad526f","url":null,"abstract":"Landauer’s principle states that erasing a bit of information at fixed temperature T costs at least units of work. Here we investigate erasure at varying temperature, to which Landauer’s result does not apply. We formulate bit erasure as a stochastic nonequilibrium process involving a compression of configuration space, with physical and logical states associated in a symmetric way. Erasure starts and ends at temperature T, but temperature can otherwise vary with time in an arbitrary way. Defined in this way, erasure is governed by a set of nonequilibrium fluctuation relations that show that varying-temperature erasure can done with less work than . As a result, erasure and the complementary process of bit randomization can be combined to form a work-producing engine cycle.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":"22 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141531190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-25DOI: 10.1088/1742-5468/ad4e27
José Espinosa-Rodríguez, Pedro Díaz-Leyva and Rodrigo Sánchez
The present work examines the translational and rotational dynamics, as well as their implications for system rheology, of an experimental granular system at an agitated air/water interface. A decoupling of rotational and translational dynamics is found. The translational dynamics is well-described by a modified Voigt model compatible to that obtained for prior simulational work, whereas the rotational motion alternates between two distinct states. The latter behaviour is accounted for in terms of collective effects at the edges.
{"title":"Rotational and translational dynamics and rheology in a granular system","authors":"José Espinosa-Rodríguez, Pedro Díaz-Leyva and Rodrigo Sánchez","doi":"10.1088/1742-5468/ad4e27","DOIUrl":"https://doi.org/10.1088/1742-5468/ad4e27","url":null,"abstract":"The present work examines the translational and rotational dynamics, as well as their implications for system rheology, of an experimental granular system at an agitated air/water interface. A decoupling of rotational and translational dynamics is found. The translational dynamics is well-described by a modified Voigt model compatible to that obtained for prior simulational work, whereas the rotational motion alternates between two distinct states. The latter behaviour is accounted for in terms of collective effects at the edges.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":"33 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141517117","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-25DOI: 10.1088/1742-5468/ad485f
Saikat Santra, Prashant Singh and Anupam Kundu
We investigate the dynamics of tracer particles in the random average process (RAP), a single-file system in one dimension. In addition to the position, every particle possesses an internal spin variable that can alternate between two values, ±1, at a constant rate γ. Physically, the value of dictates the direction of motion of the corresponding particle and, for finite γ, every particle performs non-Markovian active dynamics. Herein, we study the effect of this non-Markovian behavior in the fluctuations and correlations of the positions of tracer particles. We analytically show that the variance of the position of a tagged particle grows sub-diffusively as at large times for the quenched uniform initial conditions. While this sub-diffusive growth is identical to that of the Markovian/non-persistent RAP, the coefficient is rather different and bears the signature of the persistent motion of active particles through higher-point correlations (unlike in the Markovian case). Similarly, for the annealed (steady-state) initial conditions, we find that the variance scales as at large times, with the coefficient once again different from the non-persistent case. Although both ζq and individually depart from their Markovian counterparts, their ratio is still equal to , a condition observed for other diffusive single-file systems. This condition turns out to be true even in the strongly active regimes, as corroborated by extensive simulations and calculations. Finally, we study the correlation between the positions of two tagged particles in both quenched uniform and annealed initial conditions. We verify all our analytical results using extensive numerical simulations.
{"title":"Tracer dynamics in the active random average process","authors":"Saikat Santra, Prashant Singh and Anupam Kundu","doi":"10.1088/1742-5468/ad485f","DOIUrl":"https://doi.org/10.1088/1742-5468/ad485f","url":null,"abstract":"We investigate the dynamics of tracer particles in the random average process (RAP), a single-file system in one dimension. In addition to the position, every particle possesses an internal spin variable that can alternate between two values, ±1, at a constant rate γ. Physically, the value of dictates the direction of motion of the corresponding particle and, for finite γ, every particle performs non-Markovian active dynamics. Herein, we study the effect of this non-Markovian behavior in the fluctuations and correlations of the positions of tracer particles. We analytically show that the variance of the position of a tagged particle grows sub-diffusively as at large times for the quenched uniform initial conditions. While this sub-diffusive growth is identical to that of the Markovian/non-persistent RAP, the coefficient is rather different and bears the signature of the persistent motion of active particles through higher-point correlations (unlike in the Markovian case). Similarly, for the annealed (steady-state) initial conditions, we find that the variance scales as at large times, with the coefficient once again different from the non-persistent case. Although both ζq and individually depart from their Markovian counterparts, their ratio is still equal to , a condition observed for other diffusive single-file systems. This condition turns out to be true even in the strongly active regimes, as corroborated by extensive simulations and calculations. Finally, we study the correlation between the positions of two tagged particles in both quenched uniform and annealed initial conditions. We verify all our analytical results using extensive numerical simulations.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":"228 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141517116","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-25DOI: 10.1088/1742-5468/ad526e
Maria Chiara Angelini, Saverio Palazzi, Giorgio Parisi and Tommaso Rizzo
In statistical physics, one of the standard methods to study second order phase transitions is the renormalization group that usually leads to an expansion around the corresponding fully connected solution. Unfortunately, often in disordered models, some important finite dimensional second-order phase transitions are qualitatively different or absent in the corresponding fully connected model: in such cases the standard expansion fails. Recently, a new method, the M-layer one, has been introduced that performs an expansion around a different soluble mean field model: the Bethe lattice one. This new method has been already used to compute the upper critical dimension of different disordered systems such as the Random Field Ising model or the Spin glass model with field. If then one wants to go beyond and construct an expansion around to understand how critical quantities get renormalized, the actual computation of all the numerical factors is needed. This next step has still not been performed, being technically more involved. In this paper we perform this computation for the ferromagnetic Ising model without quenched disorder, in finite dimensions: we show that, at one-loop order inside the M-layer approach, we recover the continuum quartic field theory and we are able to identify the coupling constant g and the other parameters of the theory, as a function of macroscopic and microscopic details of the model such as the lattice spacing, the physical lattice dimension and the temperature. This is a fundamental step that will help in applying in the future the same techniques to more complicated systems, for which the standard field theoretical approach is impracticable.
在统计物理学中，研究二阶相变的标准方法之一是重正化群，它通常导致围绕相应全连接解的扩展。不幸的是，在无序模型中，一些重要的有限维二阶相变在相应的全连接模型中往往有质的不同或不存在：在这种情况下，标准扩展就失效了。最近，我们引入了一种新方法，即 M 层方法，它围绕不同的可溶性均场模型：贝特晶格模型进行扩展。这种新方法已被用于计算不同无序系统的上临界维度，如随机场伊辛模型或带场的自旋玻璃模型。如果我们想更进一步，围绕临界量的重正化构建一个扩展，就需要实际计算所有的数值因子。由于技术上的复杂性，下一步的计算尚未完成。在本文中，我们在有限维度上对没有淬火无序的铁磁伊辛模型进行了这一计算：我们表明，在 M 层方法内部的一环阶，我们恢复了连续四元场理论，并且能够确定耦合常数 g 和理论的其他参数，它们是模型的宏观和微观细节（如晶格间距、物理晶格维度和温度）的函数。这是基础性的一步，有助于将来将同样的技术应用于更复杂的系统，而标准的场论方法对这些系统是不可行的。
{"title":"Bethe M-layer construction on the Ising model","authors":"Maria Chiara Angelini, Saverio Palazzi, Giorgio Parisi and Tommaso Rizzo","doi":"10.1088/1742-5468/ad526e","DOIUrl":"https://doi.org/10.1088/1742-5468/ad526e","url":null,"abstract":"In statistical physics, one of the standard methods to study second order phase transitions is the renormalization group that usually leads to an expansion around the corresponding fully connected solution. Unfortunately, often in disordered models, some important finite dimensional second-order phase transitions are qualitatively different or absent in the corresponding fully connected model: in such cases the standard expansion fails. Recently, a new method, the M-layer one, has been introduced that performs an expansion around a different soluble mean field model: the Bethe lattice one. This new method has been already used to compute the upper critical dimension of different disordered systems such as the Random Field Ising model or the Spin glass model with field. If then one wants to go beyond and construct an expansion around to understand how critical quantities get renormalized, the actual computation of all the numerical factors is needed. This next step has still not been performed, being technically more involved. In this paper we perform this computation for the ferromagnetic Ising model without quenched disorder, in finite dimensions: we show that, at one-loop order inside the M-layer approach, we recover the continuum quartic field theory and we are able to identify the coupling constant g and the other parameters of the theory, as a function of macroscopic and microscopic details of the model such as the lattice spacing, the physical lattice dimension and the temperature. This is a fundamental step that will help in applying in the future the same techniques to more complicated systems, for which the standard field theoretical approach is impracticable.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":"19 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141532617","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-25DOI: 10.1088/1742-5468/ad363d
J Cai, J Peca-Medlin and Y Wan
We analyze physical spacings between locations of safety rest areas on interstates in the United States. We show normalized safety rest area spacings on major interstates exhibit Wigner surmise (WS) statistics, which align with the eigenvalue spacings for the Gaussian unitary ensemble from random matrix theory as well as the one-dimensional gas interactions via the Coulomb potential. We identify economic and geographic regional traits at the state level that exhibit Poissonian statistics, which become more pronounced with increased geographical obstacles in interstate travel. Other regional filters (e.g. historical or political) produced results that did not diverge substantially from the overall WS model.
{"title":"Random matrix statistics and safety rest areas on interstates in the United States","authors":"J Cai, J Peca-Medlin and Y Wan","doi":"10.1088/1742-5468/ad363d","DOIUrl":"https://doi.org/10.1088/1742-5468/ad363d","url":null,"abstract":"We analyze physical spacings between locations of safety rest areas on interstates in the United States. We show normalized safety rest area spacings on major interstates exhibit Wigner surmise (WS) statistics, which align with the eigenvalue spacings for the Gaussian unitary ensemble from random matrix theory as well as the one-dimensional gas interactions via the Coulomb potential. We identify economic and geographic regional traits at the state level that exhibit Poissonian statistics, which become more pronounced with increased geographical obstacles in interstate travel. Other regional filters (e.g. historical or political) produced results that did not diverge substantially from the overall WS model.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":"25 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141502518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-20DOI: 10.1088/1742-5468/ad4024
Arnau Jurado Romero, Carles Calero and Rossend Rey
Depending on their mechanism of self-propulsion, active particles can exhibit time-dependent, often periodic, propulsion velocity. The precise propulsion velocity profile determines their mean square displacement and their effective diffusion coefficient at long times. Here, we demonstrate that any periodic propulsion profile results in a larger diffusion coefficient than the corresponding case with constant propulsion velocity. We investigate, in detail, periodic exponentially decaying velocity pulses, expected in propulsion mechanisms based on sudden absorption of finite amounts of energy. We show, both analytically and with numerical simulations, that in these cases the effective diffusion coefficient can be arbitrarily enhanced with respect to the case with constant velocity equal to the average speed. Our results may help interpret, in a new light observations on the diffusion enhancement of active particles.
{"title":"Enhancement of swimmer diffusion through regular kicks: analytic mapping of a scale-independent parameter space","authors":"Arnau Jurado Romero, Carles Calero and Rossend Rey","doi":"10.1088/1742-5468/ad4024","DOIUrl":"https://doi.org/10.1088/1742-5468/ad4024","url":null,"abstract":"Depending on their mechanism of self-propulsion, active particles can exhibit time-dependent, often periodic, propulsion velocity. The precise propulsion velocity profile determines their mean square displacement and their effective diffusion coefficient at long times. Here, we demonstrate that any periodic propulsion profile results in a larger diffusion coefficient than the corresponding case with constant propulsion velocity. We investigate, in detail, periodic exponentially decaying velocity pulses, expected in propulsion mechanisms based on sudden absorption of finite amounts of energy. We show, both analytically and with numerical simulations, that in these cases the effective diffusion coefficient can be arbitrarily enhanced with respect to the case with constant velocity equal to the average speed. Our results may help interpret, in a new light observations on the diffusion enhancement of active particles.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":"74 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141502517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-16DOI: 10.1088/1742-5468/ad4af8
Alan Givré and Silvina Ponce Dawson
Cells continuously interact with their environment mediating their responses through signaling cascades. Very often, external stimuli induce pulsatile behaviors in intermediaries of the cascade of increasing frequency with the stimulus strength. This is characteristic of intracellular Ca2+ signals involving Ca2+ release through Inositol Trisphosphate Receptors (IP3Rs). The mean frequency of IP3R-mediated Ca2+ pulses has been observed to scale exponentially with the stimulus strength in many cell types. In this paper we use a simple ODE model of the intracellular Ca2+ dynamics for parameters for which there is one excitable fixed point. Including fluctuations through an additive noise term, we derive the mean escape rate from the stationary state and, thus, the mean interpulse time, as a function of the fraction, β, of readily openable IP3Rs. Using an IP3R kinetic model, experimental observations of spatially resolved Ca2+ signals and previous estimates of the IP3 produced upon stimulation we quantify the fluctuations and relate β to [IP3] and the stimulus strength. In this way we determine that the mean interpulse time can be approximated by an exponential function of the latter for ranges such that the covered mean time intervals are similar or larger than those observed experimentally. The study thus provides an easily interpretable explanation, applicable to other pulsatile signaling intermediaries, of the observed exponential dependence between frequency and stimulus, a key feature that makes frequency encoding qualitatively different from other ways commonly used by cells to ‘read’ their environment.
{"title":"Cell information processing via frequency encoding and excitability","authors":"Alan Givré and Silvina Ponce Dawson","doi":"10.1088/1742-5468/ad4af8","DOIUrl":"https://doi.org/10.1088/1742-5468/ad4af8","url":null,"abstract":"Cells continuously interact with their environment mediating their responses through signaling cascades. Very often, external stimuli induce pulsatile behaviors in intermediaries of the cascade of increasing frequency with the stimulus strength. This is characteristic of intracellular Ca2+ signals involving Ca2+ release through Inositol Trisphosphate Receptors (IP3Rs). The mean frequency of IP3R-mediated Ca2+ pulses has been observed to scale exponentially with the stimulus strength in many cell types. In this paper we use a simple ODE model of the intracellular Ca2+ dynamics for parameters for which there is one excitable fixed point. Including fluctuations through an additive noise term, we derive the mean escape rate from the stationary state and, thus, the mean interpulse time, as a function of the fraction, β, of readily openable IP3Rs. Using an IP3R kinetic model, experimental observations of spatially resolved Ca2+ signals and previous estimates of the IP3 produced upon stimulation we quantify the fluctuations and relate β to [IP3] and the stimulus strength. In this way we determine that the mean interpulse time can be approximated by an exponential function of the latter for ranges such that the covered mean time intervals are similar or larger than those observed experimentally. The study thus provides an easily interpretable explanation, applicable to other pulsatile signaling intermediaries, of the observed exponential dependence between frequency and stimulus, a key feature that makes frequency encoding qualitatively different from other ways commonly used by cells to ‘read’ their environment.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":"25 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141502490","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-16DOI: 10.1088/1742-5468/ad4e29
Dengyu Jia and Xiaofeng Wang
Global exclusion represents an effective mechanism for the evolution of cooperation, even within an infinitely well-mixed population. However, it remains unknown how global exclusion performs when faced with the evolutionary challenges posed by both defection and neutral mutation in the public goods game. Here, we report that global exclusion is able to resist or even have a positive interplay with unbiased mutations in the replicator dynamics of public cooperation. In the limit of an infinite population size, we find that the replicator-mutation dynamics can result in either a global stable coexistence or two local stable coexistences, whose attraction basins are separated by an unstable fixed point, between global exclusion and defection, as well as several types of bifurcations. Interestingly, there is an optimal mutation rate that leads to the largest enhancement of the emergent level for cooperation by global exclusion when the exclusion cost is reasonably low. Our results thus indicate that random exploration of strategies by mutation can enhance the beneficial effects of global exclusion on the evolution of public cooperation.
{"title":"Synergistic effects of global exclusion and mutation on replicator dynamics of public cooperation","authors":"Dengyu Jia and Xiaofeng Wang","doi":"10.1088/1742-5468/ad4e29","DOIUrl":"https://doi.org/10.1088/1742-5468/ad4e29","url":null,"abstract":"Global exclusion represents an effective mechanism for the evolution of cooperation, even within an infinitely well-mixed population. However, it remains unknown how global exclusion performs when faced with the evolutionary challenges posed by both defection and neutral mutation in the public goods game. Here, we report that global exclusion is able to resist or even have a positive interplay with unbiased mutations in the replicator dynamics of public cooperation. In the limit of an infinite population size, we find that the replicator-mutation dynamics can result in either a global stable coexistence or two local stable coexistences, whose attraction basins are separated by an unstable fixed point, between global exclusion and defection, as well as several types of bifurcations. Interestingly, there is an optimal mutation rate that leads to the largest enhancement of the emergent level for cooperation by global exclusion when the exclusion cost is reasonably low. Our results thus indicate that random exploration of strategies by mutation can enhance the beneficial effects of global exclusion on the evolution of public cooperation.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":"17 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141517219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-16DOI: 10.1088/1742-5468/ad4e2d
Hyungjoon Soh, Joo Hyung Hong, Jaeseung Jeong and Hawoong Jeong
This study delves into the dynamics of popularity as a crucial aspect of population dynamics, drawing from ecology and social science literature. The focus is on constructing an accurate model for understanding the spread of novelty, memes, and influences within human society, particularly through online platforms such as YouTube, Twitter, and Amazon. Traditional models, based on logistic and similar nonlinear differential equations, have shown limitations in long-term prediction accuracy, partially due to unexplained deviations. Recent research suggests the significance of long-term memory effects on popularity, characterized by a power-law response function, a phenomenon particularly evident in the realm of online mass media. Our research analyzes the Billboard Hot 100 chart, a comprehensive dataset of music popularity spanning several decades, to examine these dynamics. By integrating logistic growth with a power-law decaying long-term memory model, we demonstrate that the trajectory of popularity rankings is predominantly influenced by initial popularity levels and the strength of memory effects. Our findings reveal the pivotal role of long-term memory and the extent of initial popularity in shaping popularity dynamics over time. The study underscores the impact of mass media evolution and the differential effects of spreading mechanisms and accumulated popularity on these dynamics, particularly when long-term memory is a factor. This work contributes to a deeper understanding of the mechanisms driving popularity and its long-term trends in the digital age.
本研究借鉴生态学和社会科学文献，深入研究了作为人口动态重要方面的流行动态。重点在于构建一个准确的模型，以了解新奇事物、流行语和影响力在人类社会中的传播，尤其是通过 YouTube、Twitter 和亚马逊等网络平台的传播。基于逻辑和类似非线性微分方程的传统模型在长期预测准确性方面存在局限性，部分原因在于无法解释的偏差。最近的研究表明，长期记忆效应对流行度的影响很大，其特征是幂律响应函数，这一现象在网络大众媒体领域尤为明显。我们的研究分析了 Billboard Hot 100 排行榜--一个跨越数十年的音乐流行度综合数据集--来研究这些动态变化。通过将逻辑增长与幂律衰减长期记忆模型相结合，我们证明了人气排名的轨迹主要受初始人气水平和记忆效应强度的影响。我们的研究结果揭示了长期记忆和初始人气程度在塑造人气动态过程中的关键作用。这项研究强调了大众传媒演变的影响，以及传播机制和累积人气对这些动态的不同影响，尤其是当长期记忆是一个因素时。这项研究有助于加深对数字时代流行及其长期趋势的驱动机制的理解。
{"title":"Long-term memory on popularity dynamics: insights from the Billboard Hot 100 chart","authors":"Hyungjoon Soh, Joo Hyung Hong, Jaeseung Jeong and Hawoong Jeong","doi":"10.1088/1742-5468/ad4e2d","DOIUrl":"https://doi.org/10.1088/1742-5468/ad4e2d","url":null,"abstract":"This study delves into the dynamics of popularity as a crucial aspect of population dynamics, drawing from ecology and social science literature. The focus is on constructing an accurate model for understanding the spread of novelty, memes, and influences within human society, particularly through online platforms such as YouTube, Twitter, and Amazon. Traditional models, based on logistic and similar nonlinear differential equations, have shown limitations in long-term prediction accuracy, partially due to unexplained deviations. Recent research suggests the significance of long-term memory effects on popularity, characterized by a power-law response function, a phenomenon particularly evident in the realm of online mass media. Our research analyzes the Billboard Hot 100 chart, a comprehensive dataset of music popularity spanning several decades, to examine these dynamics. By integrating logistic growth with a power-law decaying long-term memory model, we demonstrate that the trajectory of popularity rankings is predominantly influenced by initial popularity levels and the strength of memory effects. Our findings reveal the pivotal role of long-term memory and the extent of initial popularity in shaping popularity dynamics over time. The study underscores the impact of mass media evolution and the differential effects of spreading mechanisms and accumulated popularity on these dynamics, particularly when long-term memory is a factor. This work contributes to a deeper understanding of the mechanisms driving popularity and its long-term trends in the digital age.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":"16 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141517220","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-16DOI: 10.1088/1742-5468/ad4e28
Dongjie Zhu, Yun Lin, Guoya Sun and Fuming Wang
Finite-size scaling (FSS) of critical exponents including γ, β and α of 2D Ising models of sizes up to 327682 are studied using the Wolff clustering algorithm and are used to assess the quality of pseudorandom number generators (PRNGs). Critical exponents of PRNGs with quality issues are found to diverge from their theoretical values at large lattice sizes, similar to previous reports that used the Metropolis algorithm to simulate the Ising lattice. Four high-quality PRNGs, including Mersenne Twister, an additive lagged Fibonacci generator, Xorshift and Xorwow are tested and assessed with their FSS behaviors. Dynamic exponent z is also used to assess the quality of the four tested PRNGs and corroborating results are obtained.
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