铁轨上的红宝石饼干 - 在不同的浏览器中登录

I am new to web development. I am using rails 4.2. If a user logs in from a browser (chrome for instance), its session is stored in cookie (with a remember_token variable). If the same user logs in from a different browser (firefox), its remember_digest (a hash of remember_token variable using Bcrypt) in DB is overwritten and hence is invalid for the other browser.I am new to web development. I am using rails 4