%0 Journal Article %1 sienkiewicz2013growing %A Sienkiewicz, Julian %A Hołyst, Janusz A %D 2013 %J arXiv preprint arXiv:1303.2079 %K chain emotional ising-like %T Growing Ising-like chain as a model of online emotional interactions %X We introduce a one-dimensional model basing on a special kind of asymmetrical one-side Ising-like dynamics. The model is equipped with the growth feature by adding a new node to the chain in each time-step. A spin of every succeeding node is influenced by the previous one but not vice-versa (the system in not hamiltonian). Owing to model's simplicity (it is an equivalent to a Markov chain) we are able exactly solve it in the presence of external field h. We conceive it as suitable for modeling for emotional online discussions arranged in a chronological order, where spin in every node conveys emotional valence of a subsequent post. We study the dependence of the chain's average spin <s> on external influence h (community tendency toward a selected valence) and noise level T (uncertainty of the emotional behavior). This leads us to an observation of three distinct phases - the first, where discussion evolution is determined by its launching message only, the second, in which the mostly observed emotion is coping the external influence, a finally, the third one, where the outcome is subject to fluctuations.

@article{sienkiewicz2013growing, abstract = {We introduce a one-dimensional model basing on a special kind of asymmetrical one-side Ising-like dynamics. The model is equipped with the growth feature by adding a new node to the chain in each time-step. A spin of every succeeding node is influenced by the previous one but not vice-versa (the system in not hamiltonian). Owing to model's simplicity (it is an equivalent to a Markov chain) we are able exactly solve it in the presence of external field h. We conceive it as suitable for modeling for emotional online discussions arranged in a chronological order, where spin in every node conveys emotional valence of a subsequent post. We study the dependence of the chain's average spin <s> on external influence h (community tendency toward a selected valence) and noise level T (uncertainty of the emotional behavior). This leads us to an observation of three distinct phases - the first, where discussion evolution is determined by its launching message only, the second, in which the mostly observed emotion is coping the external influence, a finally, the third one, where the outcome is subject to fluctuations.}, added-at = {2013-11-20T17:39:10.000+0100}, author = {Sienkiewicz, Julian and Ho{\l}yst, Janusz A}, biburl = {https://www.bibsonomy.org/bibtex/2d3244a5c731b6d8d075262b266ebe958/giacomo.fiumara}, interhash = {6b6c876210718ba05fd8dadc862bf433}, intrahash = {d3244a5c731b6d8d075262b266ebe958}, journal = {arXiv preprint arXiv:1303.2079}, keywords = {chain emotional ising-like}, timestamp = {2013-11-20T17:39:10.000+0100}, title = {Growing Ising-like chain as a model of online emotional interactions}, year = 2013 }